1. A bus travel 150 km in 3 hours and dksà O;fä ;fn 5 fd-eh-@?

ka- dh j¶rkj ls
then travel next 2 hours at 60 km/h. pys rks og ,d [kkl nwjh 3 ?kaVs 36 feuV esa
Then the average speed of the bus will r; dj ysrk gSA og ogh nwjh lkbfdy ij
be: 24 fd-eh@?ka- dh j¶rkj ls r; djsa rks mls
fdrus feuV yxsaxs\
dksà cl 3 ?kaVs esa 150 fd-eh- ;k=k r;
djrh gS vkSj vxys 2 ?kaVs 60 fd-eh-@?ka- dh (a) 40 min. (b) 45 min.
pky ls ;k=k djrh gSA cl dh vkSlr pky
crk,aA (c) 50 min. (d) 55 min.

(a) 55 km/ hr. (b) 54 km/ hr. 4. A train is traveling at the rate of
30 km/hr. How many seconds it will
(c) 50 km/ hr. (d) 60 km/ hr. take to cover a distance of 120 km?

2. A car finish a certain journey in 10 ,d jsyxkM+h 30 fdeh@?k.Vk dh xfr ls

hours at a speed of 42 kmph. In order py jgh gS mls 120 fdeh dh nwjh r; djus
to cover the same distance in 7 hours, esa fdrus lsd.M dk le; yxsxkA
the speed of the car (km/h) must be
increased by: (a) 36000 sec. (b) 64000 sec.

,d dkj ,d fuf'pr nwjh 42 fdeh@?k.Vk (c) 14400 sec. (d) 12000 sec.
dh nj ls 10 ?k.Vs esa iwjh djrh gSA mlh 5. The distance between place P and Q is
nwjh dks 7 ?k.Vs esa r; djus ds fy, dkj dh 448 km. Rajdhani express train leaves
xfr esa fdrus fdeh@?k.Vs dh o`f) vko';d place P at 8 am and runs at a speed of
gS\ 64 km/hr. The train stops on the way
for 2 hour 15 minutes. At what time
(a) 12 km/ hr. (b) 15 km/ hr.
train reaches at Q.
(c) 18 km/ hr. (d) 24 km/ hr.
nks LFkkuksa P rFkk Q ds chp dh nwjh 448 km
3. A man can cover a certain distance in gSA jktèkkuh ,Dlçsl jsyxkM+h LFkku P ls
3 hours 36 minutes if he walks at the çkr% 8 cts 64 km/hr dh xfr ls pyuk
rate of 5 km/hr. If he covers the same çkjaHk djrh gSA ;g jsyxkM+h jkLrs esa 2 ?kaVk
distance by cycle at the rate of 15 feuV #drh gSaA crk, ;g LFkku Q rd
24 km/ hr., then the time taken by him fdl le; igqap ldsx a h\
in minutes is.
(a) 3 : 15 pm (b) 1 : 50 pm

(c) 5 : 20 pm (d) 5 : 15 pm
6. An Aeroplane covers a certain distance 5
9. A car travelling with 7 of its usual speed
at a speed of 250 km/hour in 8 hours.
2
covers 42 km in 1 hour 40 min 48 sec.
to cover the same distance in 23 hours what is the usual speed of the car?
it most travel at a speed of: 5
,d dkj viuh lkekU; xfr ds 7 Hkkx ls
,d ok;q;ku ,d fuf'pr nwjh dks pyrs gq, 42 fdeh- dh nwjh r; djus esa 1
250 km@hr. dh xfr ls dqy 8 ?kaVs esa r; ?kaVk 40 feuV 48 lsdaM dk le; ysrh gSA
2
djrk gSA ;fn ;gh fuf'pr nwjh 23 ?kaVs esa dkj dh lkekU; xfr crk;sA
r; djuh gks rks ok;q;ku dh vkSlr xfr 6
fdruh gksxhA (a) 177 km/ hr.

(a) 300 km/ hr. (b) 35 km/ hr.

(b) 750 km/ hr. (c) 25 km/ hr.

(c) 600 km/ hr. (d) 30 km/ hr.

(d) 720 km/ hr. 10. A man can reach a certain palce in
30 hours. If he reduces his speed by
7. A truck covers a distance of 550 metres 1
th, he goes 10 km less in that time.
in 1 minute whereas a bus covers a 15

distance of 33 kms. in 45 minutes. The Find his speed per hour.

ratio of their speed is: ,d O;fä ,d fuf'pr nwjh dks 30 ?kaVs esa
,d Vªd 1 feuV esa 550 eh- dh nwjh r; r; djrk gSA ijUrq ;fn og viuh xfr
1
djrk gS tcfd ,d cl 33 fdeh- dh nwjh 15
Hkkx ?kVk ns rks og mlh le; esa 10
45 feuV esa r; djrh gSA Vªd rFkk cl dh fdeh- dh nwjh de r; dj ikrk gSA O;fä
xfr;ksa dk vuqikr crk, \ dh xfr crk;sA
(a) 4:3 (b) 3:5 (a) 6 km/ hr.

(c) 3:4 (d) 5:3 (b)

1
52 km/ hr.
7
8. A train running at of its own speed (c) 4 km/ hr.
11
reached a place in 22 hours. How much
time could be saved if the train would (d) 5 km/ hr.
run at its own speed? 11. (race) A and B started at the same time
7 from the same place for a certain
,d jsyxkM+h viuh lkekU; xfr ds 11 Hkkx 5
destination. B walking at of A's speed
ls pyus ij fu;r ;k=k djus esa 22 ?k.Vs 6

dk le; ysrh gSA vxj og viuh lkekU; reached the destination 1 hour
xfr ls pys rks og fdruk le; cpk ysxhA 15 minutes after A, B reached the
destination in:
(a) 14 hr. (b) 7 hr.
A rFkk B ,d lkFk ,d gh le; ij ,d gh
(c) 8 hr. (d) 16 hr. fn'kk esa pyuk çkjaHk djrs gSa ;fn B, A dh
 5 (c) 30 km/ hr.
6
xfr ls pys rks og A ls 1 ?kaVk 15 feuV
nsjh ls igqaprk gSA B }kjk fy;k tkus okyk (d) 35 km/ hr.
le; Kkr djsA
2
14. A man driving at 3 of his original speed
(a) 6 hr., 45 min.
reaches his destination 30 minutes
(b) 7 hr., 15 min. later than the usual time. Then the
usual time is:
(c) 7 hr., 30 min.
2
,d O;fä viuh ewy pky dh 3 pky ls
(d) 8 hr., 15 min.
pyus ij vius xarO; rd lkekU; le; dh
12. A train was late by 6 minutes. The rqyuk esa 30 feuV foyEc ls igqaprk gS] rks
driver increased its speed by 4 km/hr lkekU; le; fdruk gS\
to reach the next station on time which
was 36 km away. Find the original (a) 45 min. (b) 90 min.
speed of the train.
(c) 60 min. (d) 120 min.
,d jsyxkM+h 6 feuV ysV FkhA 36 fdeh nwj 15. A man cycles at the speed of 8 km/hr
vxys LVs'ku ij lgh le; ij igqapus ds and reaches office at 11 am and when
fy, pkyd jsyxkM+h dh xfr 4 fdeh@?kaVk he cycles at the speed of 12 km/hr he
vfèkd dj nsrk gSA jsyxkM+h dh okLrfod reaches office at 9 am. At what speed
pky Kkr djsaA should he cycle so that he reaches his
office at 10 am?
(a) 36 km/ hr.
,d O;fä 8 fdeh- çfr ?kaVs dh xfr ls
(b) 54 km/ hr.
lkbfdy pykdj iwokZgu 11 cts igqaprk gS
(c) 45 km/ hr. tc og lkbfdy ls 12 fdeh-@?kaVk dh
pky ls pyrk gS rks iwokZgu 9 cts v‚fQl
(d) 40 km/ hr.
igqaprk gS rks crkb, og lkbfdy dks fdl
13. Manoj riding a bicycle at 20 km/hr. can xfr ls pyk;s rkfd og 10 cts igqap tk,\
reach his office in 3 hours. If he is late
(a) 9.6 km/ hr.
by 1 hour at the start, then in order to
reach his destination in time, he should (b) 10 km/ hr.
ride at the speed of?
(c) 11.2 km/ hr.
eukst 20 fdeh@?kaVk lkbfdy pykdj
3 ?kaVs esa vius dk;kZy; igq¡p ldrk gSA ;fn (d) Cannot be determined.
og 1 ?kaVk nsjh ls 'kq: djrk gS] rks mls 16. A car completed a journey of 400 km in
xarO; LFkku ij le; ls igq¡pus ds fy, 1 3
122 hrs. The first of the journey was
fdl xfr ls lkbfdy pykuh gksxh\ 4
done at 30 km/hr. Calculate the speed
(a) 20 km/ hr. for the rest of the journey.

(b) 50 km/ hr.

 1
,d dkj us 400 fdeh- dh ;k=k 122 ?kaVs esa esa ,d ,lh yxk ldrs gSaA A dks vdsys ,d
3 ,lh yxkus esa fdruk le; yxsxk\
iwjh dh igyh dkj us 4 ;k=k 30 fdeh- çfr
?kaVs dh xrh ls r; dh xbZA 'ks"k ;k=k ds (a) 3 hr. (b) 2 hr.
fy, dkj dh xfr dh x.kuk dhft,\
(c) 6 hr. (d) 1/2 hr.
(a) 45 km/ hr.
19. Resting 4 hours a day, A travels a
(b) 40 km/ hr. certain distance in 60 days. Resting
thrice the time how many days will he
(c) 25 km/ hr. takes to travel 3 times the distance at
3 times the speed.
(d) 30 km/ hr.

17. The diameter of a cycle wheel is 4 ?kaVs foJke djrs gq, A fdlh fuf'pr nwjh
140 cm. The cyclist takes 30 hours to dks 60 fnu esa iwjk djrk gSA ;fn foJke dk
reach his destination at the speed of le; iwoZ ls frxquk gks vkSj pky Hkh 3 xq.kk
22 kmph. How many revolutions will gks tk, rks *A* dks fuf'pr nwjh dk 3 xq.kk
the cycle wheel make during his r; djus esa fdrus fnu yxsxaAs
22
journey (assum π = ). (a) 90 days (b) 100 days
7

,d lkbfdy ds ifg, dk O;kl 140 lseh (c) 98 days (d) 95 days

gSA lkbfdy pkyd dks vius xarO; rd
22 fdeh çfr ?kaVs dh xfr ls igqapus esa 20. Two donkey are standing 400 meters
apart. First donkey can run at a speed
30 ?kaVs yxrs gS lkbfdy ds ifg, dks
of 3 m/sec and the second can run at
mldh ;k=k ds nkSjku fdrus pDdj yxkus
22 2 m/sec. If two donkey run towards
gksxsA ¼eku yhft, π¾ 7 ½ each other after how much time (in sec)
will they bump into each other?
(a) 1 lacs (b) 2 lacs
nks xèks ,d&nwljs ls 400 ehVj dh nwjh ij
(c) 3 lacs (d) 1.5 lacs
[kM+s gSaA igyk xèkk 3 ehVj@lsd.M dh xfr
18. A and B can fix an AC in 3 hours ls vkSj nwljk xèkk 2 ehVj@lsd.M dh xfr
working together at their respective ls Hkkx ldrk gSA ;fn nksuksa xèks ,d nwljs
constant rates. If A doubles his speed, dh vksj Hkkxrs gSa rks fdrus le; ¼lsd.M esa½
then both can fix the AC in 2 hours ds ckn os ,d&nwljs ls Vdjk,axs\
working together at their respective
rates. How long does it take A to fix the (a) 60 sec (b) 80 sec
AC alone?
(c) 400 sec (d) 40 sec
A vkSj B viuh fLFkj njksa ij lkFk dke 21. Rubi goes to a multiplex at the speed of
djrs gq, 3 ?kaVs esa ,d ,lh yxk ldrs gSaA 30 km/hr to see a movie and reaches
;fn A viuh xfr nksxquh dj ns rks nksuksa 5 minutes late. If she travels at the
feydj viuh njksa ij dke djrs gq, 2 ?kaVs speed of 40 km/hr she reaches
 5 minutes early. Then the distance of 24. A dog chases a hare. In a certain time
the multiplex from her starting point is. dog can jump 5 leaps and in same time
hare can jump 6 leap while length of
:ch 30 fdeh-@?kaVs dh xfr ls fdlh 4 leaps of dogs is equal to 5 leap of
efYVIysDl esa fiDpj ns[kus ds fy, tkrh gS hare. If the speed of dog 25 km/hr. then
vkSj og 5 feuV dh nsjh ls igq¡prh gSA ;fn find the speed of hare.
og 40 fdeh-@?kaVk dh xfr ls pyrh gS rks
og 5 feuV tYnh igq¡p tkrh gSA rks mlds ,d dqÙkk ,d [kjxks'k dk ihNk djrk gSA
çkjfEHkd LFkku ls efYVIysDl dh nwjh ftrus le; esa dqÙkk 5 Nykaxs yxkrk gS
crkb,\ mrus le; esa [kjxks'k 6 Nykaxs yxkrk gS
rFkk dqÙks dh 4 Nykaxksa dh yEckà [kjxks'k
(a) 20 km (b) 25 km dh 5 Nykxksa ds cjkcj gS ;fn dqÙks dh xfr
(c) 15 km (d) 18 km 25 fdeh@?k.Vk jgh gks] rc [kjxks'k dh
xfr Kkr djsa ¼fdeh@?k.Vk esa½\
22. A man travels some distance at a speed
of 48 km/hr and returns at a speed of (a) 20 km/ hr. (b) 24 km/ hr.
36 km/hr. If the total time taken by him
(c) 15 km/ hr. (d) 30 km/ hr.
is 4 hrs. 40 min, the distance is.
25. A lion chases a dog and dog chases a
,d O;fä 48 fdeh-@?kaVs dh pky ls dqN hare. In a certain time lion takes
nwjh djrk gS vkSj og 36 fdeh-@?kaVs dh 3 jumps while dog takes 6 jumps and
pky ls okil vkrk gSA ;fn mls bls r; here takes 7 jumps in the same time.
djus esa dqy 4 ?kaVs 40 feuV dk le; While length of 2 leaps of lion is equal
yxrk gS rks nwjh crkb,A to length of 5 leaps of dog is equal to
length of 6 leap of hare. Find the ratio
(a) 70 km (b) 108 km
of Distance travelled.
(c) 96 km (d) 105 km ,d “ksj ,d dqÙks dk ihNk djrk gS vkSj
dqÙkk] fgju dk ihNk djrk gS A ftrus le;
23. A and B are 45 km apart and when
esa “ksj 3 Nykaxs yxkrk gS mrus le; esa
travelling towards each other meet
dqÙkk 6 Nykax yxkrk gS vkSj fgju mrus
after half an hour whereas they meet
le; esa 7 Nyakx yxkrk gS rFkk “ksj dh
two and a half hours later if they travel
2 Nykaxksa dh yEckà dqÙks dh 5 Nykxksa ds
in the same direction. Find the speed of
cjkcj gS rFkk fgju dh 6 Nykaxks ds cjkcj
faster traveller.
gS rks buds }kjk r; dh xbZ nqjh dk vuqikr
A vkSj B 45 fdeh- dh nwjh ij gSA os ,d D;k gS A
nwljs dh vksj pydj vkèks ?kaVs ckn fey
(a) 45:36:35 (b) 46:48:52
tkrs gS] ysfdu ,d gh fn'kk esa pyrs gq,
<kà ?kaVs ckn fey ikrs gSaA rnuqlkj muesa (c) 76:46:35 (d) 96:50:36
rst pyus okys dh xfr crkb,A
26. A car covers total 140 km distance, it
(a) 45 km/ hr. (b) 54 km/ hr. covers some part of the journey at the
speed of 6 km/hr and the rest part of
(c) 50 km/ hr. (d) 48 km/ hr.
journey at 10 km/hr. If speed of
 6 km/ hr is replaced by 10 km/hr and ckn feyrh gSA rks crkvks v‚Vks fdrus cts
speed 10 km/hr replaced by 6 km/hr, it gjh}kj igqapsxkA
covers 8 km more distance in the same
time. Find time taken by the car to (a) 3 pm (b) 2 pm
cover 140 km distance and also find (c) 4 pm (d) 5 pm
average speed of the car.
28. Pradeep could either walk or drive to
,d dkj dqy 140 fdeh dh nwjh r; djrh office. The time taken to walk to the office
gS ftlesa ls dqN nwjh 6 fdeh@?kaVk dh pky is 8 times the driving time. One day, his
ls rFkk 'ks"k 10 fdeh@?kaVk dh pky ls wife took the car making him walk to office.
pyrh gSA ;fn 6 fdeh@?kaVk ds cnys After walking 1 km. he reached a tample
10 fdeh@?kaVk dh pky ls rFkk 10 when his wife called to say that he can
know take the car. Pradeep figured that
fdeh@?kaVk ds cnys 6 fdeh@?kaVk dh pky
continuing to walk to the office will take as
ls pys rks og mrus gh le; esa 8 fdeh long as walking back home and then
vfèkd nwjh r; dj ysxhA ml dkj }kjk 140 driving to the office. Calculate the distance
fdeh dh nwjh r; djus esa fdrus ?kaVs dk between tample and the office.
le; yxsxk rFkk dkj dh vkSlr pky Hkh
Kkr djsa \ iznhi dkj }kjk vkSj iSny pyrs gq;s vius
vkWfQl dh nwjh dks r; dj ldrk gS mls
4
(a) 8 hr., 59 km/ hr. dkj }kjk vkWfQl igqpus esa ftruk le;
yxrk gS mldk 8 xquk mls iSny ;k=k djrs
7
(b) 15 hr., 309 km/ hr. gq;s vkWfQl igqpus esa yxrk gS A ,d fnu
mldh iRuh mls iSny vkWfQl tkus ds fy;s
7
(c) 18 hr., 79 km/ hr. dgrh gS 1 km iSny nwjh r; djus ds ckn
9
og ,d efUnj is igqp tkrk gS rHkh mldh
(d) 10 hr., 1017 km/ hr. iRuh mls Qksu djrh gS vkSj dkj ys tkus ds
fy;s dgrh gS A iznhi x.kuk djrk gS fd
27. A Bus meets with an auto at 10 am
;fn og iSny ?kj tk;s vkSj dkj }kjk
whose going on the same way to same
vkWfQl igqps rks mls ftruk le; yxrk gS
direction to Haridwar. The bus reach
mruk gh le; mls iSny pyrs gq;s vkWfQl
haridwar at 12:30 pm and take 1 hr.
rest bus returns back on the same way
igqpus esa yxsxk] rks crkb;s efUnj ls vkWfQl
1 dh nwjh D;k gS A
and meets the same auto hr later. At
2
7
what time the auto will reach to (a) 1 km (b) km
3
haridwar.
9 16
(c) km (d) km
,d cl çkr% 10 cts ,d v‚Vks ls feyrh gS 7 7

tks mlh fn”kk esa mlh jkLrs ls gjh}kj tk 29. A boy starts from his home at a certain
jgk Fkk] cl 12%30 ij gjh}kj igqap tkrh gS time with a certain speed to pick up his
ogka 1 ?k.Vs ds foJke ds i'pkr mlh jkLrs girlfriend from office at 5:00 pm. One
1
okil ykSVrh gS vkSj mlh v‚Vks dks 2 ?kaVs day his girlfriend left the office at
3:00 pm and start walking to home
with a speed of 40 km/hr and meet the
 boy in the way who left his home at his between each wagon and engine is one
usual time. They reached home 40 min meter. Speed of train is 60 km/hr it
1
earlier than their usual time. Find the crosses a platform in 1 minute. Find
2
speed of boy.
the length of platform?
,d yM+dk jkstkuk vius ?kj ls fdlh ,d jsyxkM+h esa 20 fMCcs rFkk ,d batu gSA
fuèkkZfjr le; ij viuh nksLr dks ysus ds çR;sd fMCcs dh yEckà 10 ehVj rFkk batu
fy, fudyrk gS vkSj Bhd 5 pm ij mlds dh yEckà 15 ehVj gSA çR;sd fMCcs rFkk
n¶rj igqap tkrk gS ,d fnu mldh nksLr batu ds chp varjky 1 ehVj gS vkSj og
3 pm ij n¶rj ls 4 km@hr pky ls jsyxkM+h 60 fdeh-@çfr ?k.Vk dh pky ls
fudy tkrh gS vkSj ?kj ds fy, jokuk gksrh 1
,d IysVQ‚eZ dks 12 feuV esa ikj dj tkrh
gS yM+dk r; le; ij fudyrk gS vkSj jkLrs
esa mlls feyrk gSA nksuksa jkstkuk ls gS rks crkvks IysVQ‚eZ dh yEckà D;k gS\
40 feuV igys ?kj igqap tkrs gS rks crkvks (a) 1305 m (b) 1265 m
yM+ds dh pky D;k gSA
(c) 1125 m (d) 1000 m
(a) 20 km/ hr. (b) 15 km/ hr.
32. A train 'B' speeding with 100 kmph
(c) 16 km/ hr. (d) 24 km/ hr. crosses another train C, running in the
same direction, in 2 mins. If the length
30. A man travels 450 km to his home
of the train B and C be 150m and 250m
partly by train an partly by car. He
respectively, what is the speed of the
takes 8 hrs 40 mins if he travels 240 km
train C (in kmph).
by train an rest by car. He takes 20 min
more if he travels 180 km by train and 100 fd-eh@?ka- dh pky ls pyrh gqà Vªsu
the rest by car. The speed of the car in *B* ,d nwljh Vªsu *C* dks tks mlh fn'kk esa
km/hr is? tk jgh gS- 2 feuV esa ikj dj ysrh gSA ;fn
dksà O;fä 450 fdeh vius ?kj tkus ds fy, Vªsu B dh vkSj C dh yEckà Øe'k% 150 eh-
vkaf'kd :i ls jsyxkM+h ls vkSj vkaf'kd :i vkSj 250 eh- gks rks Vªsu C dh pky
ls dkj }kjk ;k=k djrk gSA ;fn og ¼fd-eh-@?ka½ crkb,\
240 fd-eh jsyxkM+h ls vkSj 'ks"k ;k=k dkj ls (a) 75 km/ hr.
djs rks mls 8 ?kaVs 40 feuV dk le; yxrk
gSA ;fn og 180 fd-eh jsyxkM+h ls vkSj 'ks"k (b) 88 km/ hr.
;k=k dkj ls djsa rks 20 feuV dk le;
(c) 95 km/ hr.
vfèkd yxrk gSA dkj dh fd-eh-@?ka- esa pky
crkb,\ (d) 110 km/ hr.

(a) 45 km/ hr. (b) 50 km/ hr. 33. A train 200 m long is running at the
speed of 40 km/h. The time (in second)
(c) 60 km/ hr. (d) 48 km/ hr. in which it passes a man standing near
31. A train has 20 wagons and a one engine the railway line is:
length of each wagon is 10 meter and
length of engine is 15 meter. Space
 200 eh- yEch jsyxkM+h 40 fdeh@?kaVk dh (c) 375 m (d) 960 m
xfr ls py jgh gSA IysVQkeZ ds fudV [kM+s
37. A train is moving at a speed of
O;fä dks ikj djus esa fdruk le; ysxhA
144 km/hour. If the length of the train
(a) 18 sec (b) 11 sec is 432 metres, how long will it take to
cross a railway platform 368 Metres
(c) 12 sec (d) 15 sec long?
34. A train 630 m long is running at the ,d 432 eh- yEch jsyxkM+h 144 fdeh@?kaVk
speed of 72 km/h. It will cross a dh xfr ls py jgh gSA mls ,d 368 eh-
railway platform 450 m long in: yEcs iqy dks ikj djus esa fdruk le;
,d jsyxkM+h dh yEckà 630 eh- gSA yxsxk\
72 km@h dh pky ls ,d 450 eh- yEckà (a) 20 sec (b) 17.5 sec
okys IysVQ‚eZ dks fdrus le; esa ikj djsxhA
(c) 18 sec (d) 15 sec
(a) 22 sec (b) 54 sec
38. Two trains, one 387.5 m and the other
(c) 24 sec (d) 26 sec 300 m long are running in opposite
35. A train 800 m long takes 42 seconds to directions on parallel tracks, the first is
cross a platform 670 m long. How much running at 54 km an hour and the other
time will the train take to cross a at 45 km in an hour. How long will it
platform 250 m long? take to cross each other?

,d jsyxkM+h ftldh yEckbZ 800 eh- gS nks jsyxkfM+;ksa ftudh yEckÃ;k¡ 387-5 eh-
42 lsds.M esa 670 eh- yEcs IysVQkeZ dks ikj rFkk 300 eh- gS] foijhr fn'kk esa lekUrj
dj tkrh gS rks 250 eh- yEcs IysVQkeZ dks iVfj;ksa ij py jgh gSA mudh xfr;ka Øe'k%
ikj djus esa mls fdruk le; yxsxk 54 rFkk 45 fdeh@?kaVk gSA ,d nwljs dks
ikj djus esa os fdruk le; ysxh\
(a) 30 sec (b) 20 sec
1
(a) 27 sec (b) 172 sec
(c) 27 sec (d) 26 sec
(c) 26 sec (d) 25 sec
36. A train passes a man standing on a
platform in 18 seconds and also crosses 39. A train crosses a pole with a speed of
the platform which is 420 metres long 84 km/h in 24 sec. Find how much time
in 30 seconds. The length of the train it will cross another train which is
(in metres) is: 150% more longer than it if the other
train is standing at platform?
,d jsyxkM+h 420 eh- yaEcs IysVQ‚eZ rFkk ml
ij [kM+s gq, O;fä dks ikj djus esa Øe'k% 84 fdeh- çfr ?kaVs dh j¶+rkj ls dksà Vªsu
30 ls- rFkk 18 ls- dk le; yxkrh gSA ,d [kaHks dks 24 lsd.M esa ikj dj ysrh gSA
jsyxkM+h dh yEckà ¼m½ crkb,A Kkr djks fd vius ls 150% T;knk yEckÃ
okyh nwljh Vªsu dks ;g Vªsu fdruh nsj esa
(a) 688 m (b) 630 m
ikj dj ik,xh vxj nwljh Vªsu IysVQkeZ ij
[kM+h gksA
 (a) 80 sec (b) 84 sec O;fä dks ikj djus esa 40 lsdaM dk le;
ysrh gSA rst pyus okyh jsyxkM+h dh yEckÃ
(c) 87 sec (d) 90 sec
crk;saA
40. A train crosses a tunnel half of its
(a) 600 m (b) 400 m
length with a speed of 96 km/hr in
60 sec, then find in how much time it (c) 375 m (d) 300 m
will cross another train of double of its
length which is standing on platform 43. A train takes 25 seconds to pass
with 60% of its own speed? through a platform 262 m long and
20 seconds to pass through another
96 fdeh- ?kaVk dh j¶rkj ls dksà Vªsu vius platform 162 m long. The length of the
ls vkèkh yackà dh lqjax dks 60 lsdaM esa ikj train (in m) is:
dj ysrh gSA Kkr djsa fd vius ls nqxuq h
yackà dh fLFkj Vªsu dks viuh 60% pky ls ,d jsyxkM+h 262 eh- yEcs IysVQkeZ dks ikj
fdyuh nsj esa ikj djsxh\ djus esa 25 lsd.M rFkk 162 eh- yEcs
IysVQkeZ dks ikj djus esa 20 lsdaM dk le;
(a) 120 sec (b) 200 sec ysrh gSA crk;s jsyxkM+h dh yEckà ¼eh-½
fdruh gSA
(c) 150 sec (d) 160 sec
(a) 370 m (b) 238 m
41. A train passes two bridges of length
1200 m and 400 m in 120 seconds and (c) 290 m (d) 205 m
80 seconds respectively The length of
the train is: 44. The speeds of two trains are in the ratio
of 5:7. They are moving in the opposite
,d jsyxkM+h nks iqyksa ftudh yEckÃ;k¡ Øe'k% directions on parallel tracks. The first
1200 eh- rFkk 400 eh- gS dks ikj djus esa train crosses a telegraph pole in
Øe'k% 120 ls- rFkk 80 ls- dk le; ysrh gSA 6 seconds whereas the second train
crk;s jsyxkM+h dh yEckà fdruh gS\ crossed the same pole in 8 seconds.
Find the time taken by the trains to
(a) 1800 m (b) 1900 m cross each other completely.
(c) 1200 m (d) 1500 m nks jsyxkfM+;ksa dh pkyksa dk vuqikr 5 % 7
42. Two trains travel in the same direction gSA nksuksa jsyxkfM+;ksa lekukarj iVfj;ksa ij
at the speed of 76 km/h and 49 km/n. foijhr fn'kk esa pyrh gSA igyh jsyxkM+h
respectively. The faster train passed a ,d VsfyxzkQ iksy dks 6 lsd.M esa tcfd
man in the slower train in 40 seconds. nwljh jsyxkM+h mlh iksy dks 8 lsd.M esa
The length of the faster train (in ikj djrh gSA ,d&nwljs dks ikj djus esa
metres) is: yxk le; Kkr djs\a
nks jsyxkfM+;ka lekUrj iVfj;ksa ij ,d leku 1 1
(a) 2 6 sec (b) 7 6 sec
fn'kk esa Øe'k% 76 fdeh@?kaVk rFkk
1 1
49 fdeh@?kaVk dh xfr ls py jgh gSA rst (c) 5 4 sec (d) 5 8 sec
jsyxkM+h èkheh xfr okyh jsyxkM+h esa cSBs ,d
45. A train travelling at 48 km/hr iSny ;k=k d:a rks eq>s 87 feuV yxrs gSaA
completely crosses another train crk;s eq>s nksuksa rjQ ls lokjh }kjk ;k=k
having half of its length and travelling djus esa dqy fdruk le; yx tk;sxk\
in opposite direction at 42 km/hr, in
24 seconds. It also passes a railway (a) 29.5 m in. (b) 19 min.
platform in 90 seconds, then the length
(c) 27 min. (d) 22 min.
of the platform is:
48. A man travelled a distance of 80 km in
,d jsyxkM+h 48 fdeh@?k.Vk dh pky ls 12 hours, partly on foot at the rate of
viuh ls vkèkh yEckà dh nwljh jsyxkM+h 5 km/hr. and partly on bicycle at the
ftldh pky 42 fdeh@?k.Vk gS dks foijhr rate of 9 km/hr. The distance travelled
fn'kk esa pyrs gq, 24 lsd.M esa ikj dj on foot was:
tkrh gSA ;g jsyxkM+h ,d jsyos IysVQkeZ dks
90 lsd.M esa ikj djrh gSA IysVQkeZ dh ,d O;fä 80 fdeh- dh nwjh dk dqN Hkkx
yEckà D;k gS\ iSny 5 fdeh- çfr ?kaVk ls rFkk 'ks"k
lkbfdy }kjk 9 fdeh@?kaVk dh xfr ls r;
(a) 800 m (b) 850 m djrk gSA mlds }kjk iSny r; dh x;h nwjh
(c) 560 m (d) 600 m
crk;sa ;fn mls dqy 12 ?kaVs yxs gSaA

46. I walk a certain distance and ride back (a) 45 km (b) 35 km

taking a total time of 37 minutes. I (c) 20 km (d) 24 km
could walk both ways in 55 minutes.
How long would it take me to ride both 49. A is twice as fast runner as B, and B is
ways? thrice as fast runner as C. If C travelled
a distance in 3 hours 24 minutes, the
eq>s ,d fuf'pr nwjh rd iSny tkus rFkk time taken by A to cover the same
lokjh }kjk okil ykSVus esa dqy 37 feuV distance is.
dk le; yxrk gSA ijUrq ;fn esa nksuksa rjQ
iSny ;k=k d:a rks eq>s 55 feuV yxrs gSaA A, B ls nqxquk rFkk B, C ls rhu xquk rst
crk;s eq>s nksuksa rjQ ls lokjh }kjk ;k=k nkSM+rk gSA ;fn C ,d fuf'pr nwjh dks r;
djus esa dqy fdruk le; yx tk;sxk\ djus esa 3 ?kaVk 24 feuV ysrk gks rks A mlh
nwjh dks fdrus le; esa r; djsxkA
(a) 9.5 min. (b) 19 min.
(a) 34 min. (b) 38 min.
(c) 18 min. (d) 20 min.
(c) 51 min. (d) 57 min.
47. I walk a certain distance and ride back
taking a total time of 57 minutes. I 50. From two places, 100 km apart, A and B
could walk both ways in 87 minutes. start towards each other at the same
How long would it take me to ride both time and meet each other after 4 hr.
1
ways? Had A travelled with 3 of his speed and
B travelled with triple of his speed, they
eq>s ,d fuf'pr nwjh rd iSny tkus rFkk
would have met after 2 hr. The speed of
lokjh }kjk okil ykSVus esa dqy 57 feuV
A is:
dk le; yxrk gSA ijUrq ;fn esa nksuksa rjQ
 100 fdeh- dh nwjh ij fLFkr nks LFkkuksa ls A B viuh ewy xfr dh nqxquh xfr ls ;k=k
rFkk B ,d gh le; ij ,d&nwljs dh vksj a As A dh ewy
djs] rks og 5 ?kaVs ckn feysx
jokuk gksrs gS rFkk ,d nwljs ls 4 ?kaVs ckn xfr crk;sA
1
feyrs gSA ;fn A viuh pky dh 3 rFkk B
(a) 4 km/ hr. (b) 6 km/ hr.
viuh pky dh rhu xquh pky ls pyk gksrk]
rks os ,d&nwljs ls 2 ?kaVs ckn feys gksrsA A (c) 10 km/ hr. (d) 12 km/ hr.
dh pky gS 53. A car can cover a certain distance in
1
(a) 10 km/ hr. 62 hours, if the speed is increased by
1
4 km/hour. It would take 2 hour less to
(b) 75/8 km/ hr.
cover the same distance. Find the speed
(c) 9 km/ hr. of the slower car:
(d) 12 km/ hr. 1
,d dkj ,d fuf'pr nwjh dks 62 ?kaVs esa r;
51. A man travelled a distance of 80 km in djrh gSA ;fn mldh xfr 4 fdeh-@?kaVk
7 hrs partly on foot at the rate of 8 km c<+k nh tk;s rks mls ogh fuf'pr nwjh dks
per hour and partly on bicycle at 16 km 1
r; djus esa 2 ?kaVk dk le; de yxrk gSA
per hour. The distance travelled on the
èkheh dj dh xfr crk,A
foot is:
(a) 50 km/ hr. (b) 48 km/ hr.
,d O;fä 80 fdeh dh nwjh dks 7 ?kaVs esa r;
djrk gSA blesa ls va'kr% dqN Hkkx iSny (c) 45 km/ hr. (d) 60 km/ hr.
8 fdeh@?kaVk dh xfr ls pydj r; djrk
54. Starting from his house one day, a
gS rFkk dqN Hkkx lkbfdy ls 16 fdeh@?kaVk
student walking 9 km/hr and reaches
dh pky ls r; djrk gSA crk,a iSny
his school 26 min late. Next day he
pydj mlus fdruh nwjh r; dh\
increases his speed 11 km/hr and
(a) 32 km (b) 44 km reaches at the school 29 min earlier.
How far is the school from his house?
(c) 36 km (d) 44 km
,d fnu vius ?kj ls Ldwy tkrs le; ,d
52. From two places, 60 km apart A and B cPpk 9 çfr ?kaVs dh pky ls tkrk gSA vkSj
start towards each other at the same 26 feuV ysV gks tkrk gSA vxys fnu og
time and meet each other after 6 hours. viuh pky 11 fd-eh- çfr ?kaVk c<+k nsrk gSA
2
If A travelled with of his speed and B vkSj Ldwy 29 feuV tYnh igqap tkrk gSA
3
travelled with double of his speed they ?kj ls Ldwy dh nwjh Kkr djksa\
would have met after 5 hours. The
speed of A is: (a) 15.5 km (b) 14 km

nks LFkku 60 fdeh- dh nwjh ij gSaA nks O;fä (c) 15 km (d) 14.5 km
A vkSj B ,d gh le; ,d nwljs dh rjQ 55. If a boy walks from his house to school
pyuk vkjaHk djrs gSa vkSj 6 ?kaVs ckn feyrs at the rate of 5 km/hr, he reaches the
2
gSa ;fn A viuh ewy xfr ds 3 Hkkx ls rFkk school 10 minutes late than the
 scheduled time. However, if he walks at ls igqaprk gSA ;fn og viuh pky dks
the rate of 1 km/hr. more than the 3 fdeh@?kaVk dh xfr ls c<+k ns rc og
previous speed he reaches 10 minutes 50 feuV tYnh igqap tkrk gSA rks iwNs x,
earlier than the scheduled time. Answer ç'uksa dk mrj nsA
the following questions.
1. Distance between house to school;
;fn ,d yM+dk vius ?kj ls Ldwy
5 fdeh@?kaVk dh pky ls pyrk gS] rc og ?kj ls Ldwy ds chp dh nwjh Kkr dhft,(
vius Ldwy fuf'pr le; ls 10 feuV nsjh 2. Find the correct time;
ls igqaprk gSA ;fn og viuh pky dks
1 fdeh@?kaVk dh xfr ls c<+k ns rc og lgh le; Kkr dhft,%
10 feuV tYnh igqap tkrk gSA fuEufyf[kr
3. Find the correct speed;
iz”uks ds mÙkj nks A
lgh pky Kkr dhft,A
1. Distance between house to school
(a) 20 km, 3 hr. 20 m., 6 km/ hr.
?kj ls Ldwy ds chp dh nwjh Kkr dhft,%
(b) 15 km, 2 hr. 5 m., 5 km/ hr.
2. Find the correct time
(c) 10 km, 1 hr. 50 m., 2.5 km/ hr.
lgh le; Kkr dhft,%
(d) 25 km, 3 hr. 7 m., 7 km/ hr.
3. Find the correct speed
57. A man travel a certain distance by train
lgh pky Kkr dhft,A 45 km/hr. and walk back 20 km/hr.
5 The whole journey took 3 hr 15 min,
(a) 10 km, 1 hr. 50 m., 511 km/ hr.
what distance did he travel by train.
1
(b) 15 km, 1 hr. 50 m., 5 2 km/ hr. ,d vkneh Vªsu ls dqN fuf'pr nwjh
1
45 fdeh@?k.Vs dh pky ls r; djrk gS
(c) 10 km, 1 hr. 50 m., 5 2 km/ hr. vkSj 20 fdeh@?k.Vs dh pky ls okfil iSny
1
pydj vkrk gSA vkus tkus esa dqy 3 ?kaVs
(d) 10 km, 1 hr. 50 m., 5 2 km/ hr. 15 feuV yxrs gSa rks Kkr djks fd mlus
Vªsu ls fdruh nwjh r; dh\
56. If a boy walks from his house to school
at the rate of 5 km/hr, he reaches the (a) 20 km (b) 45 km
school 40 minutes late than the
scheduled time. However, if he walks at (c) 30 km (d) 40 km
the rate of 3 km/hr, more than the
58. A train covers a distance between A and
previous speed he reaches 50 minutes
B in 45 minutes. If the speed is
earlier than the scheduled time. Answer
decreased by 4 km/hr. then it takes
the following questions:
48 minutes to cover the same distance.
;fn ,d yM+dk vius ?kj ls Ldwy Find the distance between A and B (in
5 fdeh@?kaVk dh pky ls pyrk gS] rc og km.) and the speed of the train?
vius Ldwy fuf'pr le; ls 40 feuV nsjh
 ,d jsyxkM+h LVs'ku A ,oa B ds chp dh nwjh 1 ?kaVs dk de le; yxrk gSA ;g dkj
45 feuV esa r; djrh gSA ;fn pky dks 45 feuV dk de le; ysxh ;fn bldh
4 fdeh@?kaVk de dj ns rks ;g mruh gh pky dks 10 fdeh@?kaVk vkSj c<+k fn;k
a hA LVs'ku A
nwjh dks 48 feuV esa r; djsx tk,A fcUn P rFkk Q ds chp dh nwjh Kkr
,oa B ds chp dh nwjh ¼fdeh esa½ rFkk dhft,A
jsyxkM+h dh pky Kkr djsAa
(a) 540 km (b) 420 km
(a) 60 km, 75 km/ hr.
(c) 600 km (d) 620 km
(b) 60 km, 80 km/ hr.
61. A car travels from P to Q a constant
(c) 48 km, 64 km/ hr. speed. If its speed were increased by
10 km/hr, it would have been taken
(d) 70 km, 75 km/ hr. one hour lesser to cover the distance. It
59. A train covers a distance between A and would have taken further 48 minutes
B in 48 minutes. The another train lesser if the speed was further
having speed 6 km/hr. less than the increased by 10 km/hr. The distance
first train, covers the distance B to A in between the two cities is:
60 minutes. Find the distance between ,d dkj fcUnq P ls Q rd dh nwjh ,d
A and B? fuf'pr nj ls r; djrh gSA ;fn bldh
,d jsyxkM+h nks LVs'kuksa A rFkk B ds chp xfr dks 10 fdeh- ?kaVk ls cM+k fn;k tk,
dh nwjh 48 feuV esa r; djrh gSA ,d nwljh rc mls bl fuf'pr nwjh dks r; djus esa
jsyxkM+h ftldh pky igyh jsyxkM+h ls 1 ?kaVs dk de le; yxrk gSA ;g dkj
6 fdeh@?kaVk de gS LVs'ku B ls A ds chp 48 feuV dk de le; ysxh ;fn bldh
dh nwjh 60 feuV esa r; djrh gSA LVs'ku A pky dks 10 fdeh@?kaVk vkSj c<+k fn;k
ls B ds chp dh nwjh fdeh- esa Kkr djsa \ tk,A fcUnq P rFkk Q ds chp dh nwjh Kkr
dhft,A
(a) 24 m (b) 48 km
(a) 740 km (b) 720 km
(c) 40 km (d) 15 km
(c) 600 km (d) 420 km
60. A car travels from P to Q a constant
speed. If its speed were increased by 62. A man covered a certain distance at a
10 km/hr, it would have been taken certain speed. Had he moved 3 km per
one hour less to cover the distance. It hour faster, he would have taken
would have taken further 45 minutes 40 minutes less. If he had moved 2 km
less if the speed was further increased per hour slower, he would have taken
by 10 km/hr. The distance between the 40 minutes more. The distance (in km)
two cities is: is:

,d dkj fcUnq P ls Q rd dh nwjh ,d ,d O;fä ,d fuf'pr nwjh dks fuf'pr xfr

fuf'pr nj ls r; djrh gSA ;fn bldh ds lkFk r; djrk gSA vxj og viuh xfr
xfr dks 10 fdeh@?kaVk ls c<+k fn;k tk, 3 fdeh@?kaVk c<+k ys rks mls ;k=k djus esa
rc mls bl fuf'pr nwjh dks r; djus esa 40 feuV de yxrs gSA fdUrq ;fn og 2
 fdeh@?kaVk èkheh xfr ls pys rks 40 feuV 80 km/hr. Find the total time of
dk le; vfèkd yxrk gSA dqy fuf'pr nwjh stoppages in 3 hr.
crk;sA
fcuk #ds ,d jsyxkM+h dh vkSlr pky
(a) 20 km (b) 35 km 90 fdeh@?k.Vk gS vkSj :d&:d dj pyus
ij bl jsyxkM+h dh vkSlr pky
(c) 36 km (d) 40 km 80 fdeh@?k.Vk jg tkrh gSA crkb;s ;g
63. A man covered a certain distance at jsyxkM+h 3 ?kaVs esa fdrus le; dk foJke
certain speed. Had he moved 8 km per ysrh gSA
hour faster, he would have taken
(a) 20 min. (b) 30 min.
24 minutes less. If he had moved 6 km
per hour slower, he would have taken (c) 10 min. (d) 15 min.
36 minutes more. The distance (in km)
is: 66. Without any stoppages average speed
of a train is 72km/hr and with
,d O;fä ,d fuf'pr nwjh dks fuf'pr xfr stoppages average speed reduce to
ds lkFk r; djrk gSA vxj og viuh xfr 54 km/hr. Find the total time of
8 fdeh@?kaVk c<+k ys rks mls ;k=k djus esa stoppages in 52 min.
24 feuV dk le; de yxrk gSA fdUrq ;fn
og 6 fdeh@?kaVk èkheh xfr ls pys rks fcuk #ds ,d jsyxkM+h dh vkSlr pky
36 feuV dk le; vfèkd yxrk gSA dqy 72 fdeh@?k.Vk gS vkSj :d&:d dj pyus
fuf'pr nwjh crk;sA ij bl jsyxkM+h dh vkSlr pky
54 fdeh@?k.Vk jg tkrh gSA crkb;s ;g
(a) 28 km (b) 35 km jsyxkM+h 52 feuV esa fdrus le; dk foJke
ysrh gSA
(c) 30 km (d) 40 km
(a) 20 min. (b) 13 min.
64. A man is walking at a speed of 10 kmph.
After every km, he takes a rest for (c) 10 min. (d) 15 min.
5 minutes. How much time will he take
to cover a distance of 5 km? 67. Without any stoppages average speed
of a train is 85 km/hr and with
,d vkneh 10 fdeh@?kaVk dh j¶rkj ls stoppages average speed reduce to
pyrk gS rFkk çR;sd fdeh- ds ckn 5 feuV 68 km/hr. Find the total time of
dk foJke djrk gSA og 5 fdeh- dh nwjh stoppages in 180 min.
fdruh nsj esa r; djsxk\
fcuk #ds ,d jsyxkM+h dh vkSlr pky
(a) 60 min. (b) 50 min. 85 fdeh@?k.Vk gS vkSj :d&:d dj pyus
ij bl jsyxkM+h dh vkSlr pky
(c) 55 min. (d) 70 min.
68 fdeh@?k.Vk jg tkrh gSA crkb;s ;g
65. Without any stoppages average speed jsyxkM+h 180 feuV esa fdrus le; dk
of a train is 90 km/hr and with foJke ysrh gSA
stoppages average speed reduce to
(a) 20 min. (b) 36 min.
 (c) 10 min. (d) 15 min. pysxh ftrus le; esa ,Dlçsl jsyxkM+h
600 fdeh- tkrh gksa\
68. An express train travelled at an average
speed of 90 km/hr, stopping for (a) 310 km (b) 307.5 km
5 minutes after every 60 km. A local
train travelled at a speed of 35 km/hr, (c) 317 km (d) 328 km
stopping for 2 minute after every 70. A car covers four successive 27 km dis-
15 km. If the trains began travelling at tance at speeds of 10 km/hour,
the same time how many kilometers 20 km/ hour, 30 km/hour, 60 km/hour
did the local train travel in the time it respective. Its average speed over this
took the express train to travel 540 km? distance is.
,d ,Dlçsl jsyxkM+h ftldh xfr ,d dkj lÙkkÃl&lÙkkÃl fdeh dh Øfed
90 fdeh@?k.Vk gS] çR;sd 60 fdeh- ds ckn pkj nwfj;ksa dks% 10 km@hour]
5 feuV :drh gSA ,d yksdy jsyxkM+h 20 km@hour] 30 km@ hour]
ftldh xfr 35 fdeh@?k.Vk gS] çR;sd 60 km@hour] dh xfr ls r; djrh gSA
15 fdeh- ds ckn 2 feuV :drh gSA ;fn bl nwjh ds fy, mldh vkSlr xfr D;k gS\
nksuksa jsyxkfM+;ka ,d gh le; ij pys] rks
yksdy jsyxkM+h mrus le; esa fdrus fdeh- (a) 30 km/ hr. (b) 60 km/ hr.
pysxh ftrus le; esa ,Dlçsl jsyxkM+h
(c) 40 km/ hr. (d) 20 km/ hr.
540 fdeh- tkrh gksa\
71. A man covered one-third part of a
(a) 210 km (b) 224 km
journey at an average speed of x km/hr
1
(c) 217 km (d) 228 km next 3 part of the journey at an average
speed of y km/hr. and rest part of a
69. An express train travelled at an average
journey at an average speed of z km/hr.
speed of 100 km/hr, stopping for
Find his average speed of during the
3 minutes after every 75 km. A local
whole journey?
train travelled at a speed of 50 km/hr,
stopping for 1 minute after every ,d O;fä dqy ;k=k dk ,d&frgkà Hkkx
25 km. If the trains began travelling at x fdeh-@?kaVk dh xfr ls] vxyk
the same time how many kilometers ,d&frgkà Hkkx y fdeh-@?kaVk dh xfr ls
did the local train travel in the time it rFkk 'ks"k Hkkx z fdeh-@?kaVk dh xfr r;
took the express train to travel 600 km?
djrk gSA iwjh ;k=k ds nkSjku mldh vkSlr
,d ,Dlçsl jsyxkM+h ftldh xfr pky Kkr dhft,\
100 fdeh-@?k.Vk gS] çR;sd 75 fdeh- ds 𝑥𝑦𝑥
ckn 3 feuV :drh gSA ,d yksdy jsyxkM+h (a)
3 (𝑥𝑦+𝑦𝑧+𝑧𝑥)
ftldh xfr 50 fdeh-@?k.Vk gS] çR;sd
3 𝑥𝑦𝑥
25 fdeh- ds ckn 1 feuV :drh gSA ;fn (b)
𝑥𝑦+𝑦𝑧+𝑧𝑥
nksuksa jsyxkfM+;ka ,d gh le; ij pys] rks
𝑥𝑦𝑥
yksdy jsyxkM+h mrus le; esa fdrus fdeh- (c)
𝑥+𝑦+𝑧
 1 iii. Find the time from that meeting Ist
(d)
3 𝑥𝑦𝑧 train reaches Haryana.
72. A person travels 600 km by train at feyus ds fdrus le; ckn igyh jsy
75 km/hr. 800 km by ship at 100 km/h gfj;k.kk igqapsxhA
and 200 km by car at 50 km/hr. What is
the average speed for the entire iv. How many kms more first train
distance? travels in first two hours?

,d O;fä 600 fdeh- dh ;k=k jsy }kjk igys 2 ?kaVs esa igyh jsy nwljh jsy ls
75 fdeh-@?kaVk ls] 800 fdeh- dh ;k=k fdruh vfèkd nwjh r; djsxhA
tgkt }kjk 100 fdeh-@?kaVk ls rFkk
74. A Train starts from Delhi towards
200 fdeh dh ;k=k dkj }kjk 50 fdeh-
Jaipur with speed of 40 km/hr at
@?kaVk ls r; djrk gSA mldh dqy ;k=k ds
8:00 AM. Another train starts at same
fy, vkSlr xfr D;k gksxh\
time from Jaipur towards Delhi with
(a) 70 km/ hr. (b) 50 km/ hr. speed of 60 km/hr. If distance between
Delhi and Jaipur is 330 km. Then
(c) 60 km/ hr. (d) 80 km/ hr. answer the following Questions.
73. A Train starts from Punjab towards ,d jsy çkr% 8 cts 40 fdeh- çfr ?kaVs dh
Haryana with speed of 50 km/hr at pky ls fnYyh ls pydj t;iqj dh rjQ
8:00 AM. An other train starts at same tkrh gSA ,d nwljh jsyxkM+h mlh le;
time from Haryana towards Punjab t;iqj ls fnYyh dh rjQ 60 fdeh-@?kaVs
with speed of 40 km/hr. If distance dh xfr ls pyrh gSA fnYyh vkSj t;iqj ds
between Punjab and Haryana is
chp 330 fdeh- dh nwjh gks rks iwNs x, ç'uksa
270 km. Then answer the following
dk mrj ns\
Questions.
i. Find the time at which both trains
,d jsy çkr% 8 cts 50 fdeh- çfr ?kaVs dh
meet each other?
pky ls iatkc ls pydj gfj;k.kk dh rjQ
tkrh gSA ,d nwljh jsyxkM+h mlh le; fdl le; nksuksa jsy vkil esa feysxhA
gfj;k.kk ls iatkc dh rjQ 40 fdeh@?kaVs
ii. Find the distance from that meeting
dh xfr ls pyrh gSA iatkc vkSj gfj;k.kk ds
point to Delhi?
chp 270 fdeh- dh nwjh gks rks iwNs x, ç'uksa
dk mrj ns\ fnYyh ls fdruh nwjh ij feysxhA
i. Find the time at which both trains iii. Find the time from that meeting Ist
meet each other? train reaches Jaipur.

fdl le; nksuksa jsy vkil esa feysxhA feyus ds fdrus le; ckn igyh jsy
t;iqj igqapsxhA
ii. Find the distance from that meeting
point to Punjab? iv. How many kms less first train
traveles in first two hours?
iatkc ls fdruh nwjh ij feysxhA
 igys 2 ?kaVs esa igyh jsy nwljh jsy ls 3%20 cts pyrh gSA fdrus le; ij nksuksa
fdruh de nwjh r; djsxhA Vªsusa feysx
a h\
75. Two trains start from U.P. and move (a) 6:50 pm (b) 6:30 pm
towards Delhi at 7:30 & 8:30 am and
(c) 7:30 pm (d) 6:15 pm
travel at 70km/hr and 80 km/hr
respectively. How many km away from 78. Two train starts at same time from
U.P. will the two train meet? Delhi and Jaipur towards each other
with a speed of 84 km/hr and
nks Vªsu U.P. ls fnYyh ds fy, Øe'k%
100 km/hr. When they meet the faster
7:30 am vkSj 8:30 am jokuk gksrh gSA vkSj
train cover 128 km more distance than
mudh xfr Øe'k% 70 vkSj 80 fdeh-@?ka- gSA
the other. Find the distance between
U.P. ls fdruh nwjh ij nksuksa Vªsusa feysaxh\
Delhi & Jaipur.
(a) 660 km (b) 590 km
fnYyh vkSj t;iqj ls nks Vªsusa ,d&nwljs dh
(c) 470 km (d) 560 km rjQ 84 fdeh@?kaVk vkSj 100 fdeh@?kaVk
dh pky ls pyrh gSA tc os feyrh gS rks
76. Two trains start from U.P. and move rst pyus okyh Vªsu us nwljh ls 128 fdeh-
towards Delhi at 8:00 & 8:32 am and T;knk nwjh r; dh FkÈ fnYyh vkSj t;iqj ds
travel at 90km/hr and 102 km/hr
chp dh nwjh Kkr djks\
respectively. How many km away from
U.P. will the two train meet? (a) 1946 km (b) 1830 km

nks Vªsu U.P. ls fnYyh ds fy, Øe'k% (c) 1472 km (d) 1650 km
8:00 am vkSj 8:32 am jokuk gksrh gSA vkSj
79. Two goods train started from Station X
mudh xfr Øe'k% 90 vkSj 102 fdeh-@?ka-
at same time towards station Y at the
gSA U.P. ls fdruh nwjh ij nksuksa Vªsusa
speed of 50 Km/hr and 40 km/hr
feysx
a h\
respectively. When the first train
(a) 249 km (b) 408 km reached at station Y it immediately
starts towards station X. Find the
(c) 294 km (d) 454 km distance from station X where both
train meet if the distance between two
77. The distance b/w two stations P and Q
stations is 450 km and they are running
is 450 km. A train starts at 4 pm. With
on Parallel tracks?
speed of 60 km/hr from P to Q. Another
train starts from station Q at 3:20 pm nks ekyxkfM+;ksa ,d gh le; ij LVs'ku X ls
towards P with a speed of 80 km/hr. At Y dh vkSj Øe'k% 50 km@hr o
what time will the both train meets. 40 km@ hr dh pky ls pyrh gSaA tc
P vkSj Q ds chp esa 450 fd-eh dh nwjh gS igyh Vªsu LVs'ku Y ij igq¡prh gS rks rqjUr
,d Vªsu P ls Q dh vksj 60 fd-eh-@?ka- dh LVs'ku X dh vksj py iM+rh gSA LVs'ku X ls
pky ls 4 pm ls jokuk gksrh gSA nwljh Vªsu og nwjh Kkr djks tgka nksuksa Vªsu feysxh]
Q ls P dh vkSj 80 fdeh-@?ka dh pky ls tcfd nksuksa LVs'kuksa ds chp dh nwjh
 450 fdeh- gS rFkk os nksuksa laekUrj iVfj;ksa gS 'ks"k nwjh dks r; djus ds fy, mls viuh
ij py jgh gSA xfr esa fdruh c<+ksÙkjh djuh gksxh rkfd oks
fu;r le; ij igqap ldsA
(a) 422 km (b) 400 km
(a) 45 km/ hr. (b) 40 km/ hr.
(c) 412 km (d) 500 km
(c) 35 km/ hr. (d) 30 km/ hr.
80. Two goods train started from Station
X at same time towards station Y at the 82. The diameter of each wheel of car is
speed of 57 km/hr and 53 km/hr 70 cm, If each wheel rotates 400 times
respectively. When the first train per minute, then the speed of the car
reached at station Y it immediately (in km/hr) is.
starts towards station X. Find the
distance from station X where both ,d dkj ds çR;sd ifg;s dk O;kl 70 lseh
train meet if the distance between two gSA ;fn çR;sd ifg;k çfr feuV 400 ckj
stations is 660 km and they are running ?kwerk gS] rks dkj dh xfr fdeh@?kaVk esa D;k
on Parallel tracks? gksxh\

nks ekyxkfM+;ka ,d gh le; ij LVs'ku X ls (a) 5.28 km/ hr.

Y dh vksj Øe'k% 57km@h o 53 km@h
(b) 528 km/ hr.
dh pky ls pyrh gSA tc igyh Vªsu LVs'ku
Y ij igqaprh gS rks rqjUr LVs'ku X dh vksj (c) 52.8 km/ hr.
py iM+rh gS LVs'ku X ls og nwjh Kkr djks
(d) 0.528 km/ hr.
tgka nksuksa Vªsu feysxh] tcfd nksuksa LVs'kuksa
ds chp dh nwjh 660 fdeh- gS rFkk os nksuksa 83. The distance between two places A and
lekukUrj iêfj;ksa ij py jgh gSA B is 420 km. Anita starts from A with
uniform speed of 40 km/h towards B
(a) 684 km (b) 636 km and at the same time Romita starts
(c) 418 km (d) 538 km from B towards A also with same
(approx) uniform speed. They meet
81. A car driver leaves Bangalore, at each other after 6 hours. The speed of
8:30 A.M. and expects to reach a place Romita is.
300 km from Bangalore at 12:30 P.M.
At 10:30 he finds that he has covered nks LFkkuksa A vkSj B ds chp nwjh 420 fdeh
only 40% of the distance. By how much gSA vfurk 40 fdeh@?kaVk dh leku xfr ls
he has to increase the speed of the car A ls B dh vksj pyuk 'kq: djrh gS vkSj
in order to keep up his schedule? mlh le; jksferk Hkh dqN&dqN leku xfr
ls B ls A dh vkSj pyuk 'kq: djrh gSA os
,d dkj Mªkboj] cSaxykSj ls 300 fdeh nwj 6 ?kaVs ckn ,d&nwljs ls feyrh gSaA jksferk
LFkku ds fy, çkr% 8%30 cts pyuk çkjaHk dh xfr fdruh gS\
djrk gS] rFkk xarO; rd 12%30 nksigj rd
igqapus dk vuqeku yxkrk gSA lqcg (a) 18 km/ hr.
10%30 cts og ikrk gS fd mlus vHkh rd
(b) 20 km/ hr.
dqy ;k=k dk dsoy 40% Hkkx r; dj ik;k
 (c) 30 km/ hr. rst pyrh gS] rks Q ls pyus okyh xkM+h dh
xfr D;k gS\
(d) 8 km/ hr.
(a) 16.5 km/ hr.
84. Two trains of length 600 m and 480 m
respectively run of parallel lines of (b) 18.5 km/ hr.
rails. When running in the same
5
direction the faster train passed the (c) 12 6 km/ hr.
slower one in 24 second, but when they
are running oppositive directions, with (d) 9.5 km/ hr.
the same speed as earlier, they pass 86. A Goods train and passenger trains are
each other in 18 sec. Find speed of both running in same direction with a speed
the trains. in the ratio 1:2. The driver of goods
600 ehVj ,oa 480 ehVj yEch okyh nks train observes that the passenger train
jsyxkfM+;k¡ laekUrj iVfj;ksa ij pyrh gSA coming from behind overtake and
;fn nksuksa ,d gh fn'kk es py jgh gks rks crossed his train completely in 60 sec.
Whereas a passenger on passenger
rst j¶rkj ls pyus okyh xkM+h èkheh j¶rkj
train observes that he cross the goods
ls pyus okyh xkM+h dks 24 lsdaM esa ikj dj
train in 40 sec. Find the ratio of their
ysrh gSaA ij ;fn ;s xkfM+;ka ,d&nwljs ds
length.
foijhr fn'kk esa py jgh gks] rks ikj djus esa
ek=k 18 lsds.M dk le; yxrk gSA nksuksa ,d ekyxkM+h vkSj ,d lokjh xkM+h ,d
jsyxkfM+;ksa dh pky Kkr djsA fn'kk esa tk jgh gSa ftudh pkyksa dk vuqikr
1 % 2 gSA ekyxkM+h dk Mªkboj ;g eglwl
(a) 57.5 m/s, 2.5 m/s
djrk gS fd ihNs ls vkus okyh lokjh xkM+h]
(b) 52.5 m/s, 7.5 m/s ekyxkM+h dks 60 lsd.M esa ikj dj ysrh gSA
tcfd lokjh xkM+h dk ,d ;k=h ;g ns[krk
(c) 10 m/s, 25 m/s gS fd mlus ekyxkM+h dks 40 lsds.M esa ikj
(d) 50 m/s, 60 m/s fd;k gSA mudh yackà dk vuqikr Kkr
djks\
85. Two places P and Q are 459 km apart. A
train leaves P for Q and simultaneously (a) 1:2 (b) 2:1
another train leaves Q for P. They meet
(c) 4:1 (d) 3:2
at the end of 9 hours. If the former train
travels 18 km/hour faster than the 87. A thief runs at a speed of 10 m/s. A
other, then speed of train from Q is. policeman runs behind him at a speed
of 12.5 m/sec but he runs after
nks LFkku P vkSj Q ,d nwljs ls 459 km dh
10 second. After how many metres, will
nwjh ij gSaA ,d xkM+h P ls Q ds fy, çLFkku
the Police men catch the thief?
djrh gS vkSj mlh le; ,d vU; xkM+h Q
ls P ds fy, çLFkku djrh gSA 9 ?kaVs ds var ,d pksj 10 eh@ls- ls Hkkxrk gSA ,d
esa os nksuksa xkfM+;ka feyrh gSaA ;fn igys iqfylokyk mlds ihNs 12-5 eh@ls- ls
okyh xkM+h vU; xkM+h ls 18 fdeh-@?kaVk Hkkxrk gS ysfdu iqfylokyk pksj ds Hkkxus ds
 10 lsdaM ckn Hkkxuk 'kq: djrk gSA crkvks ,d iqfylokyk vius ls 200 eh- dh nwjh ij
fdrus ehVj ckn og pksj dks idM+ ysxkA ,d pksj dks ns[krk gSA og pksj dk ihNk
djuk çkjaHk djrk gSA pksj rFkk iqfylokyk
(a) 420 m (b) 500 m
Øe'k% 10 fdeh- ?kaVk rFkk 11 fdeh-@?kaVk
(c) 550 m (d) 600 m dh xfr ls nkSM+rs gSaA 6 feuV ckn muds
chp fdruh nwjh gksxhA
88. A constable is 114 meter behind a thief.
The constable runs 21 metres per (a) 100 m (b) 190 m
minute and the thief runs 15 metres in
(c) 200 m (d) 150 m
a minute. In what time will the
constable catch the thief? 91. Length of one train is 420 meter more
than that of the another train. When
,d iqfyl okyk ,d Hkkxrs gq, pkjs ls
they are running in opposite direction
114 eh- ihNs gS iqfyl okys rFkk pksj dh
they cross each other in 24 seconds, if
xfr;k¡ Øe'k% 21 eh-@feuV rd
they are running in same direction the
15 eh@feuV gSA fdrus le; esa iqfylokyk faster train takes 2 minute 24 sec to
pksj dks idM+ ysxkA cross the slower train. Find speed of the
(a) 19 min. (b) 18 min. faster train, if speed of slower train is
45 km/hr.
(c) 17 min. (d) 16 min.
nks jsyxkfM+;ksa esa ls ,d fd yEckà nwljs ls
89. A thief runs at a speed of 32 m/s. A 420 ehVj vfèkd gSA tc os foijhr fn'kkvksa
policeman runs behind him at a speed esa pyrh gS rc ,d&nwljs dks 24 lSd.M esa
of 48 m/sec but after 6 second running. ikj dj tkrh gS ysfdu tc os leku fn'kk
After how many meters, will the esa pyrh gS rc rst xfr ls pyus okyh
Policemen catch the thief? jsyxkM+h] èkheh xfr ls pyus okyh jsyxkM+h
,d pksj 32 eh@ls- ls Hkkxrk gSA ,d dks 2 feuV 24 sec esa ikj dj tkrh gS rst
iqfylokyk mlds ihNs 48 eh@ls- ls Hkkxrk xfr ls pyus okyh jsyxkM+h dh pky D;k
gS ysfdu iqfylokyk pksj ds Hkkxus ds gksxhA ;fn èkheh xfr ls pyus okyh jsyxkM+h
6 lsd.M ckn Hkkxuk 'kq: djrk gSA crkvks dh pky 45 fdeh@?kaVk gSA
fdrus ehVj ckn og pksj dks idM+ ysxkA (a) 63 km/ hr.
(a) 520 m (b) 576 m (b) 75 km/ hr.
(c) 550 m (d) 600 m (c) 70 km/ hr.
90. A thief is noticed by a policeman from a (d) 61 km/ hr.
distance of 200 m. the thief starts
running and the policeman chases him. 92. Length of one train is 590 meter more
The thief and the policeman run at the than that of the another train. When
rate of 10 km./hr. and 11 km/hr. they are running in opposite direction
respectively. What is the distance they cross each other in 25 seconds, if
between them after 6 minutes? they are running in same direction, the
 faster train takes 4 times than the nksuksa pyks dk varj ¼V1 & V2 ½
previous time to cross the slower train.
Find speed of the faster train, if speed iii. Find V1
of slower train is 36 km/hr. V1 dk eku Kkr djsA
nks jsyxkfM+;ksa esa ls ,d dh yEckà nwljs ls iv. Find V2
590 ehVj vfèkd gSA tc os foijhr fn'kkvksa
esa pyrh gSa rc ,d&nwljs dks 25 lsd.M esa V2 dk eku Kkr djsA
ikj dj tkrh gS ysfdu tc os leku
94. Two trains start from Delhi and Patna
fn'kkvksa esa pyrh gS rc rst xfr ls pyus
towards Patna and Delhi respectively.
okyh jsyxkM+h èkheh xfr ls pyus okyh After passing each other the second
jsyxkM+h dks ikj djus esa igys fy, x, 1
train take 3 3 hr and the first train takes
le; ls 4 xq.kk le; ysrh gSA ;fn èkheh
4
xfr ls pyus okyh jsyxkM+h dh pky 45 hr to reach Delhi and Patna
36 fdeh@ ?kaVk jgh gks rks rc rst xfr ls respectively. If speed of the first train is
pyus okyh jsyxkM+h dh pky Kkr djsa\ 45 km/hr, then find speed of the second
train:
(a) 60 km/ hr.
nks jsyxkfM+;k¡ fnYyh rFkk iVuk ls Øe'k%
(b) 35 km/ hr. iVuk rFkk fnYyh ds fy, jokuk gksrh gSA
(c) 70 km/ hr. ,d nwljs dks ikj djus ds ckn nwljh
1 4
jsyxkM+h 3 3 ?kaVs rFkk igyh jsyxkM+h 4 5 ?kaVs
(d) 40 km/ hr.
esa Øe'k% fnYyh rFkk iVuk igqap tkrh gSA
93. When a man travel equal distance at ;fn igyh jsyxkM+h dh pky 45 fdeh@?kaVk
speed V1 and V2 km/hr, his average gks] rks nwljh jsyxkM+h dh pky Kkr djsaA
speed is 24 km/hr. But, when he travels
at these speeds for equal times his (a) 76 km/ hr.
average speed is 25 km/hr. Answer the (b) 55 km/ hr.
following questions.
(c) 75 km/ hr.
tc ,d O;fä cjkcj nwjh V1 rFkk V2
fdeh@?kaVk dh pky ls r; djrk gS rc (d) 54 km/ hr.
mldh vkSlr pky 24 fdeh@?kaVk vkrh gSA
95. Two trains start from Delhi and Patna
ijarq tc og bUgh pkyksa ls cjkcj le; rd towards Patna and Delhi respectively.
pyrk gS rc mldh vkSlr pky After passing each other the second
25 fdeh@?kaVk gksrh gS rks fuEu ç'uks ds train take 4 hr and the first train takes
mÙkj nhft,A 9 hr to reach Delhi and Patna
i. Sum of two speeds (V1 + V2) respectively. If speed of the first train is
42 km/hr, then find speed of the second
km/hr
train:
nksuksa pkyks dk ;ksx ¼ V1 $ V2 ½
nks jsyxkfM+;k¡ fnYyh rFkk iVuk ls Øe'k%
ii. Difference of two speed (V1 - V2) iVuk rFkk fnYyh ds fy, jokuk gksrh gSA
 26
,d nwljs dks ikj djus ds ckn nwljh then they meet after hr. Find the
5
jsyxkM+h 4 ?kaVs rFkk igyh jsyxkM+h 9 ?kaVs esa average speed of trains?
Øe'k% fnYyh rFkk iVuk igqap tkrh gSA ;fn
igyh jsyxkM+h dh pky 42 fdeh@?kaVk gks] nks LFkku ftuds chp dh nwjh 680 fdeh- gSA
rks nwljh jsyxkM+h dh pky Kkr djsAa nks jsyxkfM+;ksa ,d nwljs dh vkSj pyuk 'kq:
djrh gSA ;fn os ,d gh le; ij pyrh gS
(a) 60 km/ hr. rks os ,d nwljs ls 8 ?kaVs esa feyrh gS] ijUrq
(b) 65 km/ hr. ;fn ,d xkM+h nwljh xkM+h ls
5 ?kaVs 57 feuV nsjh ls pys rks os ,d nwljs
(c) 63 km/ hr. 26
ls nwljh xkM+h ds pyus ds 5 ?kaVs ckn
(d) 72 km/ hr. feyrh gS] rks jsyxkfM+;ksa dh vkSlr pky
crkvks\
96. Distance between two stations is
650 km. Two trains start moving (a) 50 km/ hr., 35 km/ hr.
toward each other. If they start moving
at same time then they meet each other (b) 40 km/ hr., 45 km/ hr.
in 10 hr. But a train starts moving 4 hr. (c) 60 km/ hr., 25 km/ hr.
20 min. late then another train then
they meet after 8 hr. Find the average (d) 55 km/ hr., 30 km/ hr.
speed of trains?
98. A train approaches a tunnel AB, inside
nks LFkku ftuds chp dh nwjh 650 fdeh- gSA the tunnel A cat is located at a point i.e.
5
nks jsyxkfM+;ksa ,d nwljs dh vkSj pyuk 'kq: 12
the distance AB measure from the
djrh gSA ;fn os ,d gh le; ij pyrh gS entrance. When the train whistle the
rks os ,d nwljs ls 10 ?kaVs esa feyrh gS] ijUrq cat run. If the cat decides to run
;fn ,d xkM+h nwljh xkM+h ls 4 ?kaVs towards A side the train catches the cat
20 feuV nsjh ls pys rks os ,d nwljs ls exactly at A. If the cat decides to run
nwljh xkM+h ds pyus ds 8 ?kaVs ckn feyrh towards B side, the train catches the cat
gS] rks jsyxkfM+;ksa dh vkSlr pky crkvks\ exactly at B. Find the ratio of speed of
train & cat.
(a) 30 km/ hr., 35 km/ hr.
,d jsyxkM+h ços'k }kj A ls ,d lqjax AB
(b) 45 km/ hr., 20 km/ hr.
dh vksj c<+rh gS lqjax ds vUnj AB dh nwjh
5
(c) 25 km/ hr., 40 km/ hr. ds 12 nwjh ij ,d fcYyh fn[kkà nsrh gS] tc
(d) 55 km/ hr., 10 km/ hr.
jsyxkM+h g‚uZ ctkrh gS rks og fcYyh Hkkxuk
'kq: djrh gSA ;fn fcYyh ços'k }kj A dh
97. Distance between two stations is vksj Hkkxrh gS rks jsyxkM+h mls ços'k }kj A
680 km. Two trains start moving ij idM+ ysrh gS ;fn og fudkl }kj B dh
toward each other. If they start moving vksj Hkkxrh gS rks jsyxkM+h mls fudkl }kj
at same time then they meet each other B ij idM+ ysrh gSA rks jsyxkM+h rFkk fcYyh
in 8 hr. But A train starts moving dh pky dk vuqikr crkvks \
5 hr. 57 min. late then another train
 (a) 5:1 (b) 6:1 ,d jsyxkM+h ços'k }kj A ls ,d lqjax AB
dh vksj c<+rh gS lqjax ds vUnj AB dh nwjh
(c) 5:3 (d) 5:2 4
ds 7 nwjh ij ,d fcYyh fn[kkà nsrh gS] tc
99. A train approaches a tunnel AB, inside jsyxkM+h g‚uZ ctkrh gS rks og fcYyh Hkkxuk
the tunnel A dog is located at a point i.e.
17
'kq: djrh gSA ;fn fcYyh ços'k }kj A dh
the distance AB measure from the
45 vksj Hkkxrh gS rks jsyxkM+h mls ços'k }kj A
entrance. When the train whistle the ij idM+ ysrh gS ;fn og fudkl }kj B dh
dog run. If the cat decides to run vksj Hkkxrh gS rks jsyxkM+h ls fudkl }kj B
towards A side the train catches the 5
dog exactly at A. If the dog decides to
ds ckgj lqjax dh dqy yEckà dh 7 Hkkx
run towards B side, the train catches nwjh ij fLFkr fcUnq ij idM+ ysrh gSA rks
the dog exactly at B. Find the ratio of jsyxkM+h rFkk fcYyh dh pky dk vuqikr
speed of train & dog. crkvks\
,d jsyxkM+h ços'k }kj A ls ,d lqjax AB (a) 2:1 (b) 3:1
dh vksj c<+rh gS lqjax ds vUnj AB dh nwjh
17
(c) 3:3 (d) 6:5
ds 45 nwjh ij ,d dqÙkk fn[kkà nsrk gS] tc
jsyxkM+h g‚uZ ctkrh gS rks og dqÙkk Hkkxuk 101. Ayodhya, Banaras and Chitrakoot
which are equidistant form each other.
'kq: djrk gSA ;fn dqÙkk ços'k }kj A dh
In terms of geometry they form an
vksj Hkkxrk gS rks jsyxkM+h mls ços'k }kj A
equilateral triangle. Anil and Bunty
ij idM+ ysrh gS ;fn og fudkl }kj B dh
start simultaneously from Ayodhya and
vksj Hkkxrk gS rks jsyxkM+h mls fudkl }kj
Banaras respectively towards
B ij idM+ ysrh gSA rks jsyxkM+h rFkk dqÙks
chitrakoot. When Anil covers 100 kms,
dh pky dk vuqikr crkvks \ Bunty covers such a distance that the
(a) 40 : 11 (b) 45 : 11 distance between Anil and Bunty makes
90° angle with the road joining Banaras
(c) 10 : 1 (d) 12 : 5 and Chitrakoot. When bunty reached
chitrakoot, Anil cover 50 kilometre
100. A train approaches a tunnel AB,
toward chitrakoot. What is the distance
inside the tunnel A cat is located at a
4 between Ayodhya and Banaras.
point i.e. the distance AB measure
7
from the entrance. When the train v;ksè;k] cukjl rFkk fp=dwV tks fd
whistle the cat run. If the cat decides to ,d&nwljs ls leku nwjh ij gS] T;kferh;
run towards A side the train catches the Hkk"kk esa os leckgq f=Hkqt cukrs gSA vfuy
cat exactly at A. If the cat decides to run rFkk caVh ,d lkFk Øe'k% v;ksè;k rFkk
towards B side, the train catches the cat cukjl ls fp=dwV dh vksj pyuk 'kq: djrs
outside the tunnel and that point is gSA tc vfuy 100 fdeh- nwjh r; dj ysrk
5 gSA rc caVh bruh nwjh r; djrk gS fd
located at distance of tunnel length.
7
Find the ratio of speed of train & cat.
vfuy oa caVh ds chp dh nwjh rFkk cukjl o
fp=dwV dks feykus okyh lM+d ds chp
900 dk dks.k curk gSA tc caVh fp=dwV
 igqap tkrk gS rc vfuy fp=dwV dh vksj sa dh xfr 30 km@hr jgh gks rks
;fn ,acqyl
50 fdeh- dh nwjh vkSj r; djrk gSA v;ksè;k Ldwy cl dh xfr Kkr djsAa
vksj cukjl ds chp dh nwjh crkvksa\
(a) 10 km/ h (b) 12 km/ h
(a) 289 km (b) 385 km
(c) 15 km/ h (d) 22 km/ h
(c) 300 km (d) 200 km
105. A postman riding a bicycle at 15 km/h
102. Sita takes 3 hours more than Manoj, can reach a village in 4 hours. If he is
who drives his car 5 km/h faster than delayed by 1 hour at the start, then in
Sita drives, to cover 180 km distance. order to reach his destination in time,
What is the speed of Sita? he should ride with a speed of:

lhrk 180 km- dh nwjh r; djus esa eukst ,d Mkfd;k 15 km@hr dh pky ls pyrs
ls 3 ?kaVs vfèkd ysrh gSA ;fn eukst dh gq, 4 ?kaVs esa ,d xkao esa igqap tkrk gSA
pky lhrk ls 5 km@hr vfèkd gks rks lhrk pyrs le; 1 ?kaVs dh nsjh gks tkus ij og
dh pky Kkr djsAa fdl pky ls tk, fd og le; ij xkao
igqap tk,A
(a) 12 km/ h (b) 30 km/ h
(a) 20 km/ h (b) 16 km/ h
(c) 15 km/ h (d) 40 km/ h
(c) 14 km/ h (d) 12 km/ h
103. A minibus takes 6 hours less to cover
1680 km distance, if its speed is 106. Two horses start running towards
increased by 14 km/h? What is the each other, one from A to B and another
usual time taken by minibus? from B to A. They cross each other after
two hour and the first horse reaches B,
;fn ,d feuhcl viuh pky 14 km@hr 11
hour before the second horse
c<+k ysrh gS rks og 1680 km dh nwjh r; 15

djus esa 6 ?kaVs de ysrh gSA feuhcl ds }kjk reaches A. If the distance between A
and B is 220 km. What is the speed of
fy;k x;k okLrfod le; D;k gksxk\
the slower horse?
(a) 15 hrs (b) 24 hrs
nks ?kksM+s ,d nwljs dh rjQ Çcnq A rFkk Çcnq
(c) 25 hrs (d) 30 hrs B ls nkSM+uk 'kq: djrs gSaA A rFkk B ds chp
dh nwjh 220 km gSA nksuksa ,d lkFk nkSM+uk
104. The driver of an ambulance sees a
'kq: djrs gSa rFkk ,d nwljs ls 2 ?kaVs ckn
school bus 40 m ahead of him. After
feyrs gSa rFkk igyk ?kksM+k tc Çcnq B ij
20 seconds, the school bus is 60 metre 11
behind. If the speed of the ambulance is igqap tkrk gS rks mlds 15 ?kaVs ckn nwljk
30 km/h, what is the speed of the ?kksM+k Çcnq A ij igqaprk gS rks crkvks èkheh
school bus? pky ls nkSM+us okys ?kksM+s dh pky D;k gS\
,acqyl
sa dk pkyd ,d Ldwy cl dks tc (a) 60 km/ h (b) 45 km/ h
ns[krk gS rc og 40 m vkxs gksrh gS ijarq
(c) 25 km/ h (d) 50 km/ h
20 sec ds ckn og 60 m ihNs jg tkrh gSA
107. Two horses start running towards (c) 50 km/ h (d) 60 km/ h
each other, one from A to B and another
109. Train X starts from point A for point B
from B to A .They cross each other after
at the same time that train Y starts from
one hour and the first horse reaches B,
5 B to A. Point A and B are 300 km apart.
hour before the second horse reaches The trains are moving at a constant
6
A. If the distance between A and B is 50 speed atleast at 25 km/h. The trains
km. What is the speed of the slower meet each other 3 hours after they
horse? start. If the faster train takes atleast
2 more hours to reach the destination.
nks ?kksM+s ,d nwljs dh rjQ Çcnq A rFkk Çcnq By which time will the slower train
B ls nkSM+uk 'kq: djrs gSaA A rFkk B ds have definitely reached its destination?
chp dh nwjh 50 km gSA nksuksa ,d lkFk (ignoring the length of trains in
nkSM+uk 'kq: djrs gSa rFkk ,d nwljs ls 1 ?kaVs crossing).
ckn feyrs gSa rFkk igyk ?kksM+k tc Çcnq B
5 jsyxkM+h X Çcnq A ls rFkk jsyxkM+h Y Çcnq B
ij igqap tkrk gS rks mlds ?kaVs ckn nwljk
6 ls ,d gh le; ij ,d nwljs dh rjQ
?kksM+k Çcnq A ij igqaprk gS rks crkvks èkheh pyuk 'kq: djrs gSa rFkk A vkSj B ds chp dh
pky ls nkSM+us okys ?kksM+s dh pky D;k gS\ nwjh 300 km gSA nksuksa jsyxkfM+;ksa dh de ls
(a) 60 km/ h (b) 45 km/ h
de xfr 25 km@hr gSA jsyxkfM+;ka ,d
nwljs ls 3 ?kaVs ckn feyrh gSa rFkk feyus ds
(c) 25 km/ h (d) 20 km/ h ckn rst+ xfr ls pyus okyh jsyxkM+h vius
xarO; LFkku ij igqapus ds fy, 2 ?kaVs vksj
108. Two horses start running towards
ysrh gS rks èkheh jsyxkM+h vius xarO; LFkku
each other, one from A to B and another
from B to A .They cross each other after
ij igqapus esa fdruk le; ysxh\
four hour and the first horse reaches B, (a) 4 hours after the start
7
hour before the second horse reaches
3 (b) 7.5 hours after the start
A. If the distance between A and B is
280 km. What is the speed of the slower (c) 6 hours after the start
horse?
(d) None of the above
nks ?kksM+s ,d nwljs dh rjQ Çcnq A rFkk Çcnq
110. Walking at four fifth of his usual speed
B ls nkSM+uk 'kq: djrs gSaA A rFkk B ds
Manoj reaches his office 15 minutes
chp dh nwjh 280 km gSA nksuksa ,d lkFk late on a particular day. The next day,
nkSM+uk 'kq: djrs gSa rFkk ,d nwljs ls 4 ?kaVs 5
he walked at of his usual speed. How
ckn feyrs gSa rFkk igyk ?kksM+k tc Çcnq B 4
7 early would he be to the office when
ij igqap tkrk gS rks mlds ?kaVs ckn nwljk
3 compared to the previous day?
?kksM+k Çcnq A ij igqaprk gS rks crkvks èkheh
4
pky ls nkSM+us okys ?kksM+s dh pky D;k gS\ eukst viuh pky dk Hkkx ls pyrs gq,
5
(a) 90 km/ h (b) 30 km/ h vius n¶rj jkst+kuk ls 15 min. nsjh ls
 5 at 20 km/h to that he covered at
igqaprk gSA vxys fnu og viuh pky dk
4 70 km/h?
Hkkx ls pyrk gSA rks crkvks og fiNys fnu
ls fdruk tYnh vius n¶rj igqapsxk\ ,d vkneh nwjh dk igyk Hkkx 20 km@hr
rFkk nwljk Hkkx 70 km@hr dh pky ls r;
(a) 27 min
djrk gSA ;fn dqy nwjh dks r; djus esa
(b) 32 min vkSlr pky 50 km@hr jgh gks rks crkvks
igys Hkkx vkSj nwljs Hkkx dh nwfj;ksa ds chp
(c) 30 min vuqikr D;k gS\
(d) None of these (a) 4 : 21 (b) 3 : 22
111. Manoj starts in a car from Delhi (c) 1:4 (d) 3:5
towards Haryana. After sometime he
realises that he will cover only 75% of 113. Sita and Gita leave towns U.P. and M.P
the distance in the scheduled time and at 6 am and travel towards M.P. and
he therefore doubles his speed U.P. respectively. Speed of Sita is
immediately and thus manages to reach 60 km/h and speed of Gita is 120 km/h.
Haryana exactly on time. Find the time Rani leaves U.P. for M.P. sometime later
after which Manoj changed his speed, and travels at a speed of 90 km/h. If the
given that he could have been late by distance between U.P. and M.P. is
3 hours if he had not changed his 1080 km and all three meet at the same
speed: point on the way, at same time, then at
what time did Rani leave U.P.?
eukst viuh dkj }kjk fnYyh ls gfj;k.kk ds
fy, tkrk gSA dqN le; ckn og vuqHko lhrk vkSj xhrk lqcg 6 cts U.P. vkSj M.P.
ls ,d lkFk ,d nwljs dh rjQ pyuk 'kq:
djrk gS fd bl rjg og dsoy 75% nwjh djrs gSaA lhrk dh pky 60 km@hr rFkk
gh r; dj ik,xk vius okLrfod le; esaA xhrk dh pky 120 km@hr gSA jkuh dqN
vc og viuh xfr dks nqxquk djrk gS rFkk le; ckn U.P. ls M.P. dh rjQ 90
km@hr pky ls pyuk 'kq: djrh gSA ;fn
lgh le; ij gfj;k.kk igqap tkrk gS rks
U.P. vkSj M.P. ds chp nwjh 1080 km jgh
crkvks eukst fdrus le; ckn viuh pky gks rFkk rhuksa ,d lkFk ,d gh Çcnq ij
dks cny ysrk gS vxj og ugÈ cnyrk rks feyrh gSa rks crkvks jkuh fdrus cts U.P. ls
pyuk 'kq: djrh gS\
og 3 ?kaVs nsjh ls gfj;k.kk igqapsxk A
(a) 3 hrs. (b) 4 hrs. (a) 7 am (b) 8 am

(c) 6 hrs. (d) 5 hrs. (c) 7:30 am (d) 10 am

112. A man travels the first part of his 114. Sita and Gita leave towns U.P. at 6 am
journey at 20 km/h and the next at and travel towards M.P. respectively.
70 km/h, covering the entire journey at Speed of Sita is 60 km/h and speed of
an average speed of 50 km/h. What is Gita is 120 km/h. Rani leaves U.P. for
the ratio of the distance that he covered M.P. sometime later and travels at a
 speed of 90 km/h. If the distance speeds of Manoj and Monika are in the
between U.P. and M.P. is 1080 km and ratio of 4 : 5. They meet at Chandni
all three meet at the same point on the Chowk, somewhere between Laxmi
way, at same time, then at what time Nagar and Mukharji Nagar, spent
did Rani leave U.P.? sometime together enjoyed coffee and
burger and then both started towards
lhrk vkSj xhrk lqcg 6 cts U.P. ls ,d their destination at 9:27 am. If Manoj
lkFk M.P. dh vkSj pyuk 'kq: djrs gSaA reaches Mukharji Nagar at 10:32 am,
lhrk dh pky 60 km/hr rFkk xhrk dh pky how much time did they spend
120 km/hr gSA jkuh dqN le; ckn U.P. ls together?
M.P. dh rjQ 90 km/hr pky ls pyuk
'kq: djrh gSA ;fn U.P. vkSj M.P. ds chp eukst vkSj eksfudk lqcg 8%20 am ij y{eh
nwjh 1080 km jgh gks rFkk rhuksa ,d lkFk uxj vkSj eq[ktÊ uxj ls ,d nwljs dh rjQ
,d gh Çcnq ij feyrh gSa rks crkvks jkuh pyuk 'kq: djrs gSaA eukst vkSj eksfudk dh
fdrus cts U.P. ls pyuk 'kq: djrh gS\ pkyksa ds chp vuqikr 4 % 5 gSA nksuksa ,d
nwljs ls pkanuh pkSd ij feyrs gSa tks y{eh
(a) 9 am (b) 8 am uxj vkSj eq[ktÊ uxj ds chp dgÈ fLFkr
(c) 7:30 am (d) 10 am gSA nksuksa ,d lkFk dqN le; lkFk esa fcrkrs
gSaA ftlesa og lkFk esa d‚Qh ihrs gSa vkSj
115. A passenger sitting in a train of length cxZj [kkrs gSaA nksuksa ,d lkFk 9%27 am ij
Xm, which is running with speed of vius&vius xarO; LFkku dh rjQ pyuk
60 km/h passing through two bridges, 'kq: djrs gSaA ;fn eukst 10%32 am ij
notices that he crosses the first bridge eq[ktÊ uxj igqap tkrk gS rks crkvks nksuksa us
and the second bridge in time intervals fdruk le; ,d lkFk fcrk;kA
which are in the ratio 9 : 5 respectively.
If the length of first bridge be 450 m, (a) 8 min (b) 12 min
then the length of second bridge is:
(c) 15 min (d) 10 min
,d jsyxkM+h ftldh yackà Xm gS rFkk
117. A train with 120 wagons crosses
ftldh pky 60 km@hr gS] ds vanj ,d
Arjun who is going in the same
;k=h cSBk gS tks bl ckr dk vuqHko djrk gS
direction, in 36 seconds. It travels for
fd og igys iqy rFkk nwljs iqy dks ikj
half an hour from the time it starts
djus esa tks le; yxrk gSa ml le; dk overtaking the Arjun (he is riding on
vuqikr 9 % 5 gSA ;fn igys iqy dh yackà the horse) before it starts overtaking
450 m gks rks nwljs iqy dh yackà Kkr djsAa krishna (who is also riding on the
horse) coming from the opposite
(a) 490 m (b) 220 m
direction in 24 seconds. In how much
(c) 160 m (d) 250 m time (in seconds) after the train has
crossed the krishna do the Arjun meets
116. Manoj and Monika started from two
to krishna?
places Laxmi Nagar and Mukharji Nagar
towards Mukharji Nagar and Laxmi ,d jsyxkM+h ftlesa 120 fMCcs gSaA ,d
Nagar respectively at 8:20 am. The yM+dk vtqZu tks mlh dh fn'kk esa ?kksM+s ij
 xfreku gS] dks 36 sec esa ikj dj tkrh gS (c) 168 min (d) 78 min
rFkk vkèks ?kaVs vkSj pyus ds ckn og mlds
119. The speed of a car during the second
foijhr vkrs ,d yM+ds —".kk dks tks dh
hour of its journey is thrice that in the
?kksM+s ij xfreku gSaA dks 24 sec esa ikj dj
first hour. Also its third hours speed is
ysrh gSA rks crkvks —".kk dks ikj dj ysus ds the average speed of the first two
ckn] vtqZu vkSj —".kk fdrus le; ckn hours. Had the car travelled at the
feyrs gSa\ second hours speed during all the first
(a) 3560 sec three hours, then it would have
travelled 150 km more. Find the
(b) 3537 sec percentage Reduction in time in the
second case for the first three hours:
(c) 3600 sec
,d dkj dh pky vius nwljs ?kaVs esa igys
(d) 3576 sec
?kaVs ls rhu xquk gSA tcfd dkj dh pky
118. Radha and Krishan start from rhljs ?kaVs esa pky mldh igys nks ?kaVksa dh
Mathura and Vrindavan towards vkSlr pky ds cjkcj gSA vxj dkj lEiw.kZ
Vrindavan and Mathura respectively, at nwjh dks r; djus esa viuh pky dks nwljs
the same time. After they meet at Kosi ?kaVs esa r; dh xà pky ds cjkcj j[ks rks
on the way from Mathura to Vrindavan, og igys rhu ?kaVksa esa pyh xà nwjh ls
Radha Reduce her speed by 33.33% 150 km vfèkd nwjh r; djrh gSA rks
and returns back to Mathura and crkb, nwljs dsl vkSj igys dsl esa le; dh
Krishan Increases his speed by 33.33% cpr ¼deh½ dk çfr'kr D;k gksxk\
and returns back to Vrindavan. If Radha
1
takes 2 hours for the entire journey, (a) 33 3 % (b) 40%
what is the time taken by Krishan for
the entire journey? (c) 25% (d) 50%

jkèkk vkSj —".k ,d lkFk ,d gh le; ij 120. There are three runners A, B and C
eFkqjk vkSj o`ankou ls ,d nwljs dh rjQ with their respective speeds of
pyuk 'kq: djrs gSaA nksuksa ,d nwljs ls 10 km/h, 20 km/h and 30 km/h. They
dkslh esa feyrs gSa] tks eFkqjk vkSj o`ankou ds are initially at P and they have to run
chp dgÈ fLFkr gSA jkèkk viuh pky dk between the two points P and Q which
33-33% de dj ysrh gS vkSj okil eFkqjk dh are 10 km apart from each other. They
start their race at 6 am and end at 6 pm
rjQ jokuk gksrh gS tcfd —".k feyus ds
on the same day. If they run between
ckn viuh pky dks 33-33% c<+k ysrk gS
P and Q without any break, then how
vkSj okil o`ankou dh rjQ jokuk gksrk gSA
many times they will be together either
;fn jkèkk viuh dqy nwjh dks r; djus esa
at P and during the given time period?
2 ?kaVs ysrh gS rks crkvks —".k vius }kjk r;
dh xà nwjh dks r; djus esa fdruk le; rhu èkkod A ] B vkSj C dh pky Øe'k%
ysxk\ 10 km@h] 20 km@h vkSj 30 km@h gSA
rhuks ,d lkFk P fcUnq ls Q fcUnq dh rjQ
(a) 96 min (b) 84 min
Hkkxuk 'kq: djrs gSa rFkk os bu nksuksa Çcnqvksa
 ds chp nkSM+ yxkrs jgrs gSaA rhuksa lqcg 6 to the meeting place and B had to sail
5
cts viuh nkSM+ çkjEHk djrs gSa rFkk fcuk 357 % less. To arrive at the meeting
#ds mlh fnu 'kke 6 cts viuh nkSM+ lekIr place at the same time as his friend B, A
djrs gSaA ;fn P vkSj Q ds chp nqjh 10 km started at the same time as B and sailed
jgh gks rks rhuksa ,d lkFk P Çcnqvksa ij with the speed exceeding by 15 km/h
fdruh ckj ,d lkFk feysxs\ the speed of B. Find the speed of A.

(a) 5 (b) 7 nks nksLr A vkSj B 20 lky ckn ,d unh

ij feyus dk QSlyk ysrs gSaA A feyu Çcnq
(c) 4 (d) 12
ls 63 km dh ty;k=k r; djrk gS tcfd
121. Chetak and Raja, two horses, start 5
B mlls 357 % de ty;k=k r; djrk gSA
galloping from Patna to Ranchi which
nksuksa ,d gh le; ij pyuk 'kq: djrs gSaA
are 80 km apart. The speed of Chetak is
rks crkb, A dh pky D;k gksxh\ ;fn nksuksa
160 km/h and that of Raja is 150 km/h.
,d gh le; ij feyu Çcnq ij igqaprs gSa
They start galloping simultaneously,
from Patna to Ranchi. Chetak reached
rFkk A dh pky B ls 15 km@h vfèkd gSA
to Ranchi and returned to Patna but (a) 27 km/ h (b) 35 km/ h
Ashwa returned from Jamshedpur
(which is somewhere between Patna (c) 45 km/ h (d) 42 km/ h
and Ranchi) to Patna at the same time.
123. Sanjay and Amit take a straight route
What is the ratio of distances between
to the same terminal point and travel
Patna and Jamshedpur and Jamshedpur
with constant speed. At the initial
and Ranchi?
moment, the positions of the two and
psrd vkSj jktk nks ?kksM+s ,d lkFk iVuk ls the terminal point form an equilateral
jkaph ds fy, nkSM+uk 'kq: djrs gSaA iVuk triangle. When Amit covered a distance
vkSj jkaph ds chp 180 km dh nwjh gSA psrd of 89 km. the triangle becomes right
dh pky 160 km@h rFkk jktk dh pky angled. When Amit was at a distance of
150 km@h gSA tc psrd jkaph igqap tkrk 120 km from the terminal point, then
Sanjay arrived at the point. Find the
gS rks og iVuk ds fy, jokuk gksrk gS ijUrq
distance of one side of an equilateral
jktk te'ksniqj igqapus ij rqjUr iVuk ds
triangle?
fy, jokuk gksrk gSSA (tks fd iVuk vkSj jkaph
ds eè; dgÈ fLFkr gSA) nksuksa ,d lkFk ,d lat; vkSj vfer nks vyx & vyx lhèkh
gh le; ij iVuk igqaprs gSaA rks crkb, js[kkvksa esa pyrs gq, ,d gh feyu Çcnq ij
iVuk ls te'ksniqj vkSj te'ksniqj ls jkaph vkdj feyrs gSaA ;fn lat;] vfer vkSj
ds chp nwjh dk vuqikr D;k gS\ feyu Çcnq dh okLrfod yksds'ku ns[kh tk,
rks og ,d leckgq f=Hkqt cukrh gSA tc
(a) 15 : 1 (b) 3 : 25
vfer feyu Çcnq dh rjQ 80 km pyrk gS]
(c) 15 : 2 (d) N.O.T rc ;g ,d ledks.k f=Hkqt cukrk gSA tc
vfer feyu Çcnq ls 120 km nqj gksrk gS
122. Two friends A and B, on their last day
rks lat; feyu Çcnq ij igqap tkrk gSA rks
in college, decided to meet after
20 years on a river. A had to sail 63 km
 crkb, leckgq f=Hkqt dh çR;sd Hkqtk dh ,d [kjkc fnu lqcg 7 cts eSa viuh eksVj
eki D;k gS\ lkbfdy ds }kjk 36 km@h dh pky ls
pyrs gq, vius ,d nksLr ls feyus ds fy,
(a) 300 km (b) 240 km
jokuk gksrk gw¡ dqN nwjh r; djus ds ckn
(c) 200 km (d) 225 km esjh eksVj lkbfdy [kjkc gks tkrh gSA vkSj
eq>s #duk iM+rk gSA 35 min vkjke djus
124. The Rajdhani Express left Ahmedabad ds ckn eSa iSny pyrk gqvk 14 km@h dh
for Mumbai Having travelled 300 km,
2
pky ls vius ?kj ds fy, jokuk gksrk gw¡ vkSj
which constitutes rd of the distance nksigj 1 cts vius ?kj igqaprk gw¡A rks
3
between Ahmedabad and Mumbai, the crkb, esjs ?kj ls tgka esjh eksVj lkbfdy
train was stopped by a red signal Half [kjkc gks tkrh gS ds chp nwjh D;k gS\
an hour later, the track was cleared and
the engine driver having increased the (a) 54.6 km (b) 63 km
speed by 15 km per hour. Arrived at
(c) 72 km (d) 66 km
Mumbai on time Find the initial speed
of the Rajdhani Express. 126. Ayodhya, Banaras and Chitrakoot
which are equidistant from each other.
jktèkkuh ,Dlçsl vgenkckn ls eqacà ds
In terms of geometry they form an
fy, jokuk gksrh gSA 300 km dh nwjh r; equilateral triangle. Anand and Bajrang
2
djus ds ckn tks fd dqy nwjh dk 3 Hkkx gSA start simultaneously from Ayodhya and
jktèkkuh ,Dlçsl yky cÙkh ij vkdj #d Banaras respectively towards
tkrh gSA blds vkèks ?kaVs ckn cÙkh lekIr gks chitrakoot. When Anand covers 100
tkrh gS vkSj jsyxkM+h pkyd viuh pky dks kms, Bajrang covers such a distance
15 km@h vkSj vfèkd dj ysrk gS rFkk that the distance between Anil and
lgh le; ij eqacà igqap tkrk gSA jktèkkuh Bajrang makes 900 angle with the road
,Dlçsl dh okLrfod pky Kkr djsAa joining Banaras and Chitrakoot. When
Bajrang reaches chitra-koot, Anand is
(a) 50 kmph (b) 60 kmph still 150 km away from chitrakoot.
What is the distance between Ayodhya
(c) 75 kmph (d) 40 kmph
and Banaras.
125. One bad day, at 7 am I started on my
v;ksè;k] cukjl rFkk fp=dwV tks fd
bike at the speed of 36 kmph to meet
,d&nwljs ls leku nwjh ij gS] T;kferh;
one of my relatives. After I had
Hkk"kk esa os leckgq f=Hkqt cukrs gSA vkuan
travelled some distance, my bike went
rFkk ctjax ,d lkFk Øe'k% v;ksè;k rFkk
out of order and I had to stop. After
resting for 35 minutes, I returned home
cukjl ls fp=dwV dh vksj pyuk 'kq: djrs
on foot at a speed of 14 kmph and gSA tc vkuan 100 fdeh- nwjh r; dj ysrk
reached home at 1 p.m. Find the gS] rc ctjax bruh nwjh r; djrk gS fd
distance from my house at which my vkuan o ctjax ds chp dh nwjh rFkk cukjl
bike broke down. ls fp=dwV dks feykus okyh lM+d ds chp
900 dk dks.k curk gSA tc ctjax fp=dwV
igqap tkrk rc vkuan fp=dwV ls 150 fdeh-
 nwjh ij gSA v;ksè;k ls cukjl ds chp dh cross if they are running in parallel
nwjh crkvks \ tracks?

(a) 289 km (b) 385 km ,d jsyxkM+h fnYyh ls çkr% 8 cts pydj

xkft;kckn izkr% 10 cts igqaprh gSA tcfd
(c) 300 km (d) 200 km nwljh jsyxkM+h xkft;kckn ls izkr% 8 cts
127. Ayodhya, Banaras and Chitrakoot py dj fnYyh izkr% 11 cts igqaprh gSA
which are equidistant from each other. crkb;s nksuksa jsyxkfM+;ka ,d nwljs dks ikj
In terms of geometry they form an djuk fdrus cts vkjaHk djsx a h ;fn os
equilateral triangle. Anil and Bunty lekukarj iVjh ij nkSM+ jgh gks\
start simultaneously from Ayodhya and
(a) 10:00 am (b) 09:00 am
Banaras respectively towards
chitrakoot. When Anil covers 300 kms, (c) 09:30 am (d) 09:12 am
Bunty covers such a distance that the
distance between Anil and Bunty makes 129. If a train is running from Delhi at 8 am
900 angle with the road joining Banaras and reached Ghaziabad at 11 am. While
and Chitrakoot. When Bunty reaches another train is running from
chitra-koot, Anil is still 200 km away Ghaziabad at 9 am and reached Delhi at
from chitrakoot. What is the distance 2 pm. At what time will they start to
between Ayodhya and Banaras. cross if they are running in parallel
tracks?
v;ksè;k] cukjl rFkk fp=dwV tks fd
,d&nwljs ls leku nwjh ij gS] T;kferh; ,d jsyxkM+h fnYyh ls çkr% 8 cts pydj
Hkk"kk esa os leckgq f=Hkqt cukrs gSA vfuy xkft;kckn izkr% 11 cts igqaprh gSA tcfd]
rFkk caVh ,d lkFk Øe'k% v;ksè;k rFkk nwljh jsyxkM+h xkft;kckn ls izkr% 9 cts
cukjl ls fp=dwV dh vksj pyuk 'kq: djrs py dj fnYyh nksigj 2 cts igqaprh gSA
gSA tc vfuy 300 fdeh- nwjh r; dj ysrk crkb;s nksuksa jsyxkfM+;ksa ,d nwljs dks ikj
gS] rc caVh bruh nwjh r; djrk gS fd djuk fdrus cts vkjaHk djsx a h ;fn os
vfuy o caVh ds chp dh nwjh rFkk cukjl lekukarj iVjh ij nkSM+ jgh gks\
ls fp=dwV dks feykus okyh lM+d ds chp (a) 10:00 am (b) 10:15 am
900 dk dks.k curk gSA tc caVh fp=dwV
igqap tkrk rc vfuy fp=dwV ls 200 fdeh- (c) 10:30 am (d) 10:12 am
nwjh ij gSA v;ksè;k ls cukjl ds chp dh
130. Two trains are running in opposite
nwjh crkvks \
direction and they take 27 sec and
(a) 500 km (b) 685 km 17 sec. respectively to cross a man who
is standing on a platform. While they
(c) 600 km (d) 450 km take 23 sec. to cross each other find the
ratio of there respective speed.
128. If a train is running from Delhi at 8 am
and reached Gaziabad at 10 am. While ,d nwljs ds foijhr fn'kkvksa esa tk jgh
another train is running from jsyxkfM+;ka IysVQ‚eZ ij [kM+s ,d O;fä dks
Ghaziabad at 8 am reached Delhi at Øe'k% 27 lsd.M rFkk 17 lsd.M esa ikj
11 am. At what time will they start to
 djrh gS rFkk ,d nwljs dks 23 lsd.M esa (a) 4:15 pm, 11 km
ikj djrh gS budh pkyksa dk vuqikr Kkr
(b) 5:15 pm, 11.25 km
djsAa
(c) 6:15 pm, 12 km
(a) 3:2 (b) 1:2
(d) 6:15 pm, 12.15 km
(c) 2:3 (d) 5:7
133. Three persons A, B and C can travel
131. If a train is running from Delhi at 9 am
with a speed of 3 km/hr, 4 km/hr and
and reached Gaziabad at 4 pm. While
5 km/ hr respectively. They travels
another train is running from
from the same place respectively at 1, 2
Ghaziabad at 9 am and reached Delhi at
and 3 'o' clock. When B meets A, B
5 pm. At what time will they start to
sends him back with a message to C.
cross if they are running in parallel
When will C get the message they
tracks?
return with the speed 5 km/hr. toward
,d jsyxkM+h fnYyh ls çkr% 9 cts pydj B and B traveling with as usual speed.
xkft;kckn nksigj 4 cts igqaprh gSA tcfd] At what time they met with B.
nwljh jsyxkM+h xkft;kckn ls izkr% 9 cts rhu O;fä;ksa A] B rFkk C dh pky Øe'k%
py dj fnYyh nksigj 5 cts igqaprh gSA 3] 4 rFkk 5 fdeh@?kaVk gSA os rhuksa ,d gh
crkb;s nksuksa jsyxkfM+;ksa ,d nwljs dks ikj LFkku ls Øe'k% 1 cts] 2 cts rFkk 3 cts
djuk fdrus cts vkjaHk djsx a h ;fn os pyuk vkjEHk djrs gSA tc B] A ls feyrk
lekukarj iVjh ij nkSM+ jgh gks\ gS rc og mls C ds fy, laokn nsdj okil
(a) 12:44 pm (b) 10:15 am Hkst nsrk gSA vkSj B vkxs dh rjQ pyrk
jgrk gS vkSj dqN le; ckn C vkSj A feyus
(c) 10:30 am (d) 10:12 am ds ckn 5 km@hr dh pky ls B dks fdrus
132. Three persons A, B and C can travel cts feysxa As
with a speed of 3 km/hr, 4 km/hr and
(a) 7 pm (b) 11 pm
5 km/hr respectively. They travels from
the same place respectively at 1, 2 and (c) 9 pm (d) 10 pm
3 'o' clock. When B meets A, B sends
him back with a message to C. When 134. How many seconds will a 500 metre
will C get the message and how much long train take to cross a man walking
distance will he has travelled? with a speed of 3 km/hr. in the
direction of the moving train if the
rhu O;fä;ksa A] B rFkk C dh pky Øe'k% speed of the train 63 km/hr.?
3] 4 rFkk 5 fdeh@?kaVk gSA os rhuksa ,d gh
,d 500 eh- yEch jsyxkM+h 63 fdeh-@?kaVk
LFkku ls Øe'k% 1 cts] 2 cts rFkk 3 cts
xfr ls py jgh gS jsyxkM+h dh gh fn'kk esa
pyuk vkjEHk djrs gSA tc B, A ls feyrk
3 fdeh-@?ka- dh xfr ls tk jgs O;fä dks
gS rc og mls C ds fy, laokn nsdj okil
ikj djus esa mls fdruk le; yxsxkA
Hkst nsrk gSA C fdrus cts ml lokn dks
çkIr djsxk rFkk og fdruh nwjh py pqdk (a) 25 sec (b) 30 sec
gksxk\
 (c) 40 sec (d) 45 sec ,d jsyxkM+h ,d gh fn'kk esa 5 fdeh@?kaVk
dks pky ls tkrs gq, ,d O;fä dks ikj
135. How many seconds will a 792 metre
djus esa 10 lsdaM dk le; ysrk gSA tcfd
long train take to cross a man walking
ml jsyxkM+h dks mlds foijhr fn'kk esa vkrs
with a speed of 5 km/hr. in the
gq, ,d nwljs O;fä dks ikj djus esa 5 lsdaM
direction of the moving train if the
speed of the train 71 km/hr.?
dk le; yxrk gS ftldh pky
5 fdeh@ ?k.Vk gSA jsyxkM+h dh pky
,d 792 eh- yEch jsyxkM+h 71 fdeh-@?kaVk fdeh@ ?k.Vk esa Kkr djs\a
dh xfr ls py jgh gS jsyxkM+h dh gh fn'kk
esa 5 fdeh-@?ka- dh xfr ls tk jgs O;fä dks (a) 20 km/ hr. (b) 30 km/ hr.
ikj djus esa mls fdruk le; yxsxkA (c) 10 km/ hr. (d) 15 km/ hr.
(a) 45.6 sec (b) 43.2 sec 138. A train takes 12 seconds to cross a
man running in the same direction with
(c) 40 sec (d) 45 sec
the speed of 6 km/hr while it takes
136. Two men are running along a railway 10 seconds to cross another man
track at the speeds of 4 km/hr and running in the opposite direction with
5 km/hr in the same direction in which the speed of 5 km/hr. Find the speed of
train is running. The train overtake the train?
both the man in 10 seconds and
,d jsyxkM+h ,d gh fn'kk esa 6 fdeh@?k.Vk
11 second respectively. Find speed of
the train in km/ hr.
dh pky ls tkrs gq, ,d O;fä dks ikj djus
esa 12 lsdaM dk le; ysrh gSA tcfd ml
,d O;fä 4 fdeh@?k.Vk dh xfr ls rFkk jsyxkM+h dks mlds foijhr fn'kk esa vkrs gq,
nwljk O;fä 5 fdeh@?k.Vk dh xfr ls ,d ,d nwljs O;fä dks ikj djus esa 10 lsdaM
jsyxkM+h dh fn'kk esa iVjh ds cxy esa nkSM+ dk le; yxrk gS ftldh pky
jgs gSA ;g jsyxkM+h leku fn'kk esa pyrh 5 fdeh@?kaVk gSA jsyxkM+h dh pky
gqà mu O;fä;ksa dks Øe'k% 10 vkSj 11 lsdaM fdeh@?k.Vk esa Kkr djs\a
esa ikj djrh gSA ml jsyxkM+h dh pky
fdeh@?kaVk esa Kkr djs\a (a) 60 km/ hr. (b) 71 km/ hr.

(c) 70 km/ hr. (d) 61 km/ hr.

(a) 22 km/ hr. (b) 20 km/ hr.
139. Two men are running along a railway
(c) 10 km/ hr. (d) 15 km/ hr.
track at the speeds of 8 km/hr and
137. A train takes 10 seconds to cross a 12 km/hr in the same direction in
man running in the same direction with which train is running. The train
1
the speed of 5 km/hr while it takes overtake first man in 64 seconds and it
5 seconds to cross another man 1
takes 22 seconds more to overtake the
running in the opposite direction with
the speed of 5 km/hr. Find the speed of second man than the first man. Find
the train? speed of the train in km/hr.
 ,d O;fä 8 fdeh@?k.Vk dh xfr ls rFkk vk¡[kksa ls vks>y gks x;hA ;fn jsyxkM+h dh
nwljk O;fä blls 12 fdeh@?k.Vk dh yEckà 20 ehVj gks] rks jsyxkM+h dh xfr
vfèkd xfr ls ,d jsyxkM+h dh fn'kk esa Kkr djs\a
iVjh ds cxy esa nkSM+ jgs gSA ;g jsyxkM+h 2
1 (a) 185 km/ hr.
igys O;fä dks 64 lsd.M esa ikj dj tkrh
gS rFkk nwljs O;fä dks ikj djus esa bls (b)
3
65 km/ hr.
1
22 lsdaM dk vfèkd le; yxrk gSA ml
1
jsyxkM+h dh pky fdeh@?kaVk esa Kkr djsa\ (c) 85 km/ hr.

(a) 22 km/ hr. (b) 20 km/ hr. (d)

2
45 km/ hr.
(c) 10 km/ hr. (d) 15 km/ hr.
142. An engine was running in fog it passed
140. Two men are running along a railway a man who was walking at the speed of
track at the speeds of 7 km/hr and 3 km/hr in the same direction. he could
9 km/hr in the same direction in which see the engine for 4 minutes and upto a
a train is running. The train overtake distance of 100 meters. What was the
5
both man in 77 seconds and 9 second speed of engine?

respectively. Find speed of the train in ,d batu dqgkls esa mlh fn'kk esa
km/ hr. 3 fdeh@?kaVk dh xfr ls tkrs gq, ,d
,d O;fä 7 fdeh@?k.Vk dh xfr ls rFkk O;fä dks ikj djrh gSA og O;fä ml batu
nwljk O;fä 9 fdeh@?k.Vk dh xfr ls ,d dks 4 feuV rd rFkk 100 eh- vkxs rd ns[k
jsyxkM+h dh fn'kk esa iVjh ds cxy esa nkSM+ ikrk gS- batu dh xfr D;k gksxh\
jgs gS ;g jsyxkM+h leku fn'kk esa pyrh gqà (a) 5 km/ hr.
5
mu O;fä;ksa dks Øe'k% 77 vkSj 9 lsd.M esa
(b) 4.5 km/ hr.
ikj djrh gSA ml jsyxkM+h dh pky
fdeh@?kaVk esa Kkr djs\a (c) 10 km/ hr.

(a) 22 km/ hr. (b) 21 km/ hr. (d) 8 km/ hr.

(c) 10 km/ hr. (d) 15 km/ hr. 143. A truck crossed a man who was going
along road at an average speed of
141. A man could see only 50 meters in fog. 6 km/ hr. The man could see the truck
He was walking at an average speed of upto 2 minutes and then it disappeared.
4 km/hr and saw a train coming behind At the time of disappearance the
him. The train was 20 meters in length distance between man and truck was
and disappeared after 30 seconds. Find 1.2 km. Find speed of the truck.
the speed of the train?
6 fdeh@?ka- dh xfr ls pyus okys ,d
dqgklk esa ,d O;fä 50 ehVj rd ns[k O;fä dks ,d Vªd ikj djrk gSA og O;fä
ldrk gSA og 4 fdeh@?ka dh vkSlr pky ml Vªd dks nks feuV rd ns[k ikrk gS vkSj
ls py jgk Fkk rFkk mlds ihNs dh vksj ls mlds ckn Vªd vks>y gks tkrk gSA Vªd ds
vkrh gqà jsyxkM+h 30 lsd.M ds ckn mldh
 vks>y gksrs oä] O;fä vkSj ml Vªd ds chp 4 fdeh@?ka- dh xfr ls jsy iFk ds
dh nwjh 1-2 fdeh- gSA Vªd dh xfr Kkr lkFk&lkFk pyus okys ,d O;fä dks ihNs ls
djs\a vkrh gqà ,d Vªus ikj djrh gSA og ml Vªsu
dks rhu feuV rd ns[k ikrk gS vkSj fQj
(a) 30 km/ hr.
Vªsu vk¡[k ls vks>y gks tkrh gSA Vªsu ds
(b) 190 km/ hr. vks>y gksus ds oä ml O;fä vkSj Vªsu ds
chp dh nwjh 400 ehVj gks] rks Vªsu dh xfr
(c) 42 km/ hr. fudkyksA ;fn Vªus dh yackà 200 ehVj gSA
(d) 48 km/ hr. (a) 20 km/ hr.
144. A train crossed a man who was going (b) 30 km/ hr.
along road at an average speed of
6 km/ hr. The man could see the train (c) 24 km/ hr.
upto 2 minutes and then it disappeared.
(d) 40 km/ hr.
At the time of disappeared the distance
between man and train was 1.2 km. 146. A boy plants a bomb at a place and
Find the speed of the train, if its length starts running at 36 m/sec. After
is 300 meter. 43 sec. the bomb was blast. In how
much time the sound of blast will be
6 fdeh@?ka- dh xfr ls pyus okys ,d
listen by the boy if speed of sound is
O;fä dks ,d Vªsu ikj djrh gSA og O;fä
552 m/sec.
ml Vªsu dks nks feuV rd ns[k ikrk gS vkSj
mlds ckn Vªsu vks>y gks tkrh gSA Vªsu ds ce yxkus ds ckn ,d yM+ds us 36 fe@ls
vks>y gksrs oä] O;fä vkSj ml Vªsu ds chp dh pky ls Hkkxuk 'kq: fd;kA 43 lsdaM
dh nwjh 1-2 fdeh- gSA Vªsu dh xfr Kkr ckn ce QV x;kA Kkr djks fd fdrus
djsAa ;fn Vªus dh yEckà 300 ehVj gS\ le; ckn yM+ds dks cEc QVus dh vkokt
lqukà nsxh vxj gok ¼ekè;e½ dh pky
(a) 30 km/ hr.
552 eh@ls- gks rks!
(b) 51 km/ hr.
(a) 4 sec (b) 3 sec
(c) 42 km/ hr.
(c) 5 sec (d) 6 sec
(d) 48 km/ hr.
147. Buses start from a bus terminal with a
145. A train coming from behind crossed a speed of 36 km/hr. at intervals of
man who was going along the railway 25 minutes. What is the speed of a man
line at an average speed of 4 km/hr. coming from the opposite direction
The man could see the train upto three towards the bus terminal if he meets
minutes and then it disappeared. At the the buses at intervals of 20 minutes?
time of disappearence the distance
,d cl VÆeuy ls çR;sd 25 feuV ds
between the train and man was
400 meters. Find the speed of the train,
varjky ij 36 fdeh-@?kaVk dh xfr ls cls
if its length is 200 meter. pyrh gSA foijhr fn'kk ls cl VÆeuy dh
vksj vkus okys ,d O;fä dks ;s cls
 20 feuV ds varjky ij feyrh gSA O;fä dh (a) 40 km/ hr.
xfr crk;sA
(b) 50 km/ hr.
(a) 3 km/ hr.
(c) 60 km/ hr.
(b) 9 km/ hr.
(d) 66 km/ hr.
(c) 5 km/ hr.
150. Two guns were fired from the same
(d) 7 km/ hr. place at an interval of 35 min. A person
in a train approaching the place hears
148. The buses are departed after every the 2nd report 30 min. after the 1st.
16 min from bus depot. But a man Find the speed of the train. Supposing
going away from the bus depot. After that sound travels at 330 m/sec.
every 21 min he get the buses. Find the
speed of buses if the speed of man is 35 feuV ds varjky ij ,d gh LFkku ls nks
15 km/hr. xksfy;ka pykà tkrh gSA mlh LFkku dh rjQ
tkrh gqà ,d jsyxkM+h esa cSBs ,d O;fä dks
çR;sd 16 feuV ds ckn cl VÆeuy ls cl igyh xksyh ds vkokt lquus ds 30 feuV
tkrh gSA ijUrq ,d vkneh dks çR;sd i'pkr~ nwljh xksyh dh vkokt lqukà nsrh
21 feuV ds ckn cl feyrh gSA og vkneh gSA jsyxkM+h dh xfr Kkr djs]a ;fn èofu dh
cl VÆeuy ls nwj tk jgk gSA ;fn vkneh xfr 330 feuV@lsd.M gks\
dh xfr 15 fdeh@?k.Vk gks- rks cl dh xfr
Kkr djsAa (a) 147 km/ hr.

(a) 57 km/ hr. (b) 148 km/ hr.

(b) 60 km/ hr. (c) 190 km/ hr.

(c) 63 km/ hr. (d) 198 km/ hr.

(d) 66 km/ hr. 151. A bullet is fired behind a train and the
driver of train hears the sound
149. Two guns were fired from the same 1
32 minutes later than guard. If the
place at an interval of 38 min. A person
in a train approaching the place hears speed of the train and sound are
the 2nd report 36 min after the 1st. 60 km/hr and 1100 m/min
Find the speed of the train. Supposing respectively. Then find the length of the
that sound travels at 330 m/sec. train.

38 feuV ds varjky ij ,d gh LFkku ls nks ,d pyrh Vªsu dk MªkÃoj Vªsu ds ihNs ls

xksfy;ka pykà tkrh gSA mlh LFkku dh rjQ vkus okyh xksyh dh vkokt Vªsu xkMZ ds }kjk
1
tkrh gqà ,d jsyxkM+h esa cSBs ,d O;fä dks xksyh dh vkokt lquus ds 32 feuV ckn
igyh xksyh ds vkokt lquus ds 36 feuV lqurk gSA ;fn Vªsu vkSj vkokt dh xfr
i'pkr~ nwljh xksyh dh vkokt lqukà nsrh Øe'k% 60 fdeh@?ka- vkSj 1100 ehå@ feuV
gSA jsyxkM+h dh xfr Kkr djs]a ;fn èofu dh gks] rks Vªus dh yEckà Kkr djsa\
xfr 330 feuV@lsd.M gks\
 (a) 250 m (b) 450 m dh 80% xfr ls vkxs pyh rFkk vius xarO;
LFkku ij 4-5 ?kaVs nsjh ls igq¡phA ;g nq?kZVuk
(c) 300 m (d) 350 m
mlh jsyos ykÃu ij 160 fdeh vkxs gqÃ
152. A train, after 3 hours from starting, gksrh rks xkM+h 3-5 ?kaVs foyEc ls igq¡prhA
meets with an accident which detains it xkM+h dh pky rFkk dqy nwjh Kkr djsAa
for 1 hours. After this the train
(a) 40 km/ hr., 700 km
proceeds at 75% of its former speed
and arrives 4 hours late. Had the (b) 40 km/ hr., 760 km
accident happened 150 km farther
along the line, it would have arrived (c) 100 km/ hr., 400 km
1
only 32 hours late. Find speed of the (d) 20 km/ hr., 440 km
train and total distance of journey?
154. A train, after 5 hours from starting,
,d jsyxkM+h dks fdlh LVs'ku ls pyus ds meets with an accident which detains it
3 ?kaVs ckn nq?kZVukxzLr gksus ds dkj.k ,d for 2 hours. After this the train
?kaVk :duk iM+k] blds ckn ;g jsyxkM+h ewy 5
proceeds at 559% of its former speed
xfr dh 75% xfr ls vkxs pyh rFkk vius 2
and arrives 129 hours late. Had the
xarO; LFkku ij 4 ?kaVs nsjh ls igq¡phA ;fn
nq?kZVuk mlh jsyos ykÃu ij 150 fdeh vkxs accident happened 150 km farther
1 along the line, it would have arrived
gqà gksrh- rks xkM+h 32 ?kaVs foyEc ls igq¡prhA 8
only 109 hours late. Find speed of the
xkM+h dh pky rFkk dqy nwjh Kkr djsAa
train?
(a) 100 km/ hr., 1500 km
,d jsyxkM+h dks fdlh LVs'ku ls pyus ds
(b) 200 km/ hr., 1200 km 5 ?kaVs ckn nq?kZVukxzLr gksus ds dkj.k 2 ?kaVs
:duk iM+k] blds ckn ;g jsyxkM+h ewyxfr
(c) 100 km/ hr., 1200 km 5
dh 559% xfr ls vkxs pyh rFkk vius
(d) 150 km/ hr., 1200 km 2
xarO; LFkku ij 129 ?kaVs nsjh ls igq¡phA ;fn
153. A train, after 3 Hours from starting, nq?kZVuk mlh jsyos ykÃu ij 150 fdeh vkxs
meets with an accident which detains it 8
gqà gksrh] rks xkM+h 109 ?kaVs foyEc ls
1
for 2 hours. After this the train proceeds igq¡prhA xkM+h dh pky rFkk dqy nwjh Kkr
at 80% of its former speed and arrives djsAa
4.5 hours late. Had the accident
happened 160 km farther along the (a) 90 km/ hr., 1600 km
line, it would have arrived only 3.5
(b) 100 km/ hr., 1500 km
hours late. Find speed of the train and
total distance of journey? (c) 108 km/ hr., 1800 km

,d jsyxkM+h dks fdlh LVs'ku ls pyus ds (d) 72 km/ hr., 1670 km

1
3 ?kaVs ckn nq?kZukxzLr gksus ds dkj.k 2 ?kaVs 155. Travelling after 100 km a train meet
:duk iM+k] blds ckn ;g jsyxkM+h ewyxfr with an accident then the speed of train
 1
decrease by of original speed. In 32 feuV dh nsjh ls vius xUrO;a ij igq¡prh
4
travelling Remaing distance train late gS rks jsyxkM+h dh vkjfEHkd pky rFkk LVs'ku
7 ls xUrO;a LFkku rd dh nwjh Kkr dhft,\
by 18 hour. If train meet with accident
60 km further on it takes him 15 min (a) 45 km/ hr., 300 km
less to reach destination. Find the
(b) 45 km/ hr., 210 km
speed of train and distance of
travelling. (c) 50 km/ hr., 210 km
100 fdeh- pyus ds ckn ,d jsyxkM+h (d) 60 km/ hr., 310 km
nq?kZVukxzLr gksus ds dkj.k mldh lkekU;
1 157. A train meets with two accident in its
pky esa 4 dh deh gks tkrh gS vkSj 'ks"k nwjh
7
journey. 1st accident happens at
dks r; djus esa 18 ?kaVs dh nsjh gks tkrh gSaA 150 km from starting place which
;fn 60 fdeh vkxs nq?kZVuk gqà gksrh rks makes its speed two-third of original
igq¡pus esa le; 15 feuV de yxrs gSA Kkr speed. 2nd accident happens at 200 km
dhft, fd jsyxkM+h dh lkekU; pky rFkk from 1st accident place which makes its
;k=k dh nwjh fdruh gksxhA speed one-third of original speed and
train arrives 9 hr. late. Had both
(a) 80 km/ hr., 550 km accident happened 50 km farther along
the line. It would have arrived 2 hr
(b) 100 km/ hr., 540 km
early from last arrival. Find original
(c) 60 km/ hr., 360 km speed of train?

(d) 90 km/ hr., 500 km ,d jsyxkM+h viuh iwjh ;k=k ds nkSjku nks
ckj nq?kZVukxzLr gksrh gS igyh nq?kZVuk
156. A train starts from a station and meet
150 fdeh dh nwjh ij gksrh gSA ftlds
with an accident after 90 km and
ifj.kkeLo:i xkM+h dh pky mldh okLrfod
because of this trains speeds reduced to
2 pky dh nks frgkà gks tkrh gSA mlds
of its previous speed and it reaches its
3 200 fdeh ckn xkM+h iqu% nq?kZVukxzLr gks
destination 2 hr. 20 min late. If the tkrh gS ,oa mldh pky okLrfod pky dh
accident occurred 18 km before then it ,d&frgkà gks tkrh gSA mlds ckn og
reaches its destination 2 hr. 32 min late jsyxkM+h vius xarO; LFky ij 9 ?kaVs foyEc
then Find the initial speed of train and ls igq¡prh gSA ;fn nksuksa nq?kZVuk,a 50 fdeh
the distance between station and
vkSj vfèkd vkxs nwjh ij gksrh rks xkM+h igys
destination?
ls 2 ?kaVk iwoZ igqaprhA jsyxkM+h dh vkjafHkd
,d jsyxkM+h LVs'ku ls pyrh gS rFkk pky D;k Fkh \
90 fdeh- dh nwjh r; djus ds ckn
(a) 82.5 km/ hr.
nq?kZVukxzLr gks tkrh gS vkSj blds dkj.k
2
jsyxkM+h dh pky ?kVdj iwoZ pky dh 3 gks (b) 83.5 km/ hr.
tkrh gS vkSj og vius xUrO;a LFkku ij (c) 87.5 km/ hr.
2 ?k.Vs 20 feuV nsjh ls igqaprh gSA ;fn
nq?kZVuk 18 fdeh- igys gksrh rks ;g 2 ?kaVs (d) 90 km/ hr.
158. A train meets with two accidents in its was the usual speed of the aeroplane
journey 1st accident happens at 120 km per hour?
from starting place, which makes its
speed two-third of the former speed.
1500 fdeh dh nwjh r; djus ds fy, ,d
2nd accident happens at 160 km from LFkku ls ,d gokà tgkt fuf'pr le; ls
1st accident place which makes its 30 feuV nsjh ls pyrk gSA y{; ij fuf'pr
speed one-third of the original speed le; ij igqapus ds fy, ik;yV tgkt dh
and train arrives 6 hr late. Had both xfr 250 fdeh@?kaVk vfèkd dj nsrk gS
accident happened 30 km farther along gokà tgkt dh okLrfod xfr D;k Fkh\
3
the line. It would have arrived 14 hr. (a) 750 km/ hr.
early from last arrival. Find original
speed of train and the total distance (b) 574 km/ hr.
covered by it? (c) 665 km/ hr.
,d jsyxkM+h viuh iwjh ;k=k ds nkSjku nks (d) 757 km/ hr.
ckj nq?kZVukxzLr gksrh gSA igyh ckj ;g
jsyxkM+h viuh ewy pky pyrh gqà 160. An aeroplane started one hour later
120 fdeh ds ckn nq?kZVukxzLr gksrh gS vkSj than its scheduled time from a place
mlds ckn mldh pky ewy pky dh 1200 km away from its destination. To
nks&frgkà gks tkrh gSA mlds 160 fdeh- reach the destination at the scheduled
ckn og ,d ckj vkSj nq?kZVukxzLr gks tkrh time, the pilot had to increase the speed
gS vkSj rc mldh pky ewy pky dk by 200 km/hr. What was the actual
speed of the aeroplane per hour in
,d&frgkà gks tkrh gSA mlds ckn og
normal case?
jsyxkM+h vius xarO; LFkku ij 6 ?kaVs foyEc
ls igq¡prh gS ;fn nksuksa nq?kZVuk,a 30 fdeh- 1200 fdeh dh nwjh r; djus ds fy, ,d
vkSj vfèkd nwjh ij gksrh rks xkM+h igys ls LFkku ls ,d gokà tgkt fuf'pr le; ls
3
14 ?kaVs iwoZ igq¡prhA jsyxkM+h }kjk r; dh 1 ?kaVk nsjh ls pyrk gSA y{; ij fuf'pr
xà dqy nwjh rFkk mldh vkjafHkd pky D;k le; ij igqapus ds fy, ik;yV tgkt dh
gS \ xfr 200 fdeh@?kaVk vfèkd dj nsrk gSA
gokà tgkt dh okLrfod pky D;k Fkh\
(a) 60 km/ hr.
(a) 750 km/ hr.
(b) 50 km/ hr.
(b) 540 km/ hr.
(c) 87 km/ hr.
(c) 405 km/ hr.
(d) 90 km/ hr.
(d) 400 km/ hr.
159. One aeroplane started 30 minutes
later than the scheduled time from a 161. It takes 8 hr for a 600 km journey, if
place 1500 km away from its 120 km is done by train and the rest by
destination. To reach the destination at car. It takes 20 minutes more if 200 km
the scheduled time the pilot had to is done by train and the rest by car. The
increase the speed by 250 km/hr. What
 ratio of the speed of the train to that of went by car with speed of 50 km/hr,
the car is: while B travelled by Tonga (horse cart)
at 10 km/hr After a certain distance C
600 fdeh- dh ;k=k esa 8 ?kaVs yxrs gS] ;fn got off and travelled the rest distance
120 fdeh- dh ;k=k jsyxkM+h ls dh tk, vkSj by another tonga at 10 km/hr. While A
'ks"k dkj }kjk dh tk,A ;fn 200 fdeh- dh went back for B and reached the
;k=k jsyxkM+h ls vkSj 'ks"k dkj }kjk dh tk, destination at the same time that C
rks 20 feuV vfèkd yxrs gSA jsyxkM+h vkSj arrived. Find the total time of Journey.
dkj dh xfr dk vuqikr D;k gS\
A] B rFkk C fnYyh ls t;iqj ds chp
(a) 2:3 (b) 3:2 1200 fdeh- dh ;k=k djrs gSA A rFkk C
(c) 3:4 (d) 4:3
50 fdeh@?k.Vk dh pky ls dkj }kjk
tcfd B 10 fdeh@?k.Vk dh pky ls rkaxs
162. Monika and parul start swimming }kjk ;k=k 'kq: djrs gSA dqN nwjh ds ckn
towards each other from deep end and C mrj tkrk gS rFkk 'ks"k nwjh dks vU; rkaxs
shallow end respectively of a swimming }kjk 10 fdeh@?k.Vk dh pky ls r; djrk
pool in funcity. They start their gSA tcfd A] B ds fy, okil tkrk gS rFkk
swimming simultaneously in the length eafty ij C ds igqapus ds le; ds lkFk
of 300 m pool. The ratio of their speed igqaprs gSA ;k=k dk dqy le; crkvks\
is 1 : 2 respectively each swimmer rests
for 6 seconds once they reaches the (a) 25 hr. (b) 35 hr.
other end starts swimming back. Where
will they meet for the second time in (c) 40 hr. (d) 48 hr.
the still water of swimming pool? 164. A, B and C travels a distance of 560 km
eksfudk o ik#y ,d flVh ds rj.k rky esa from U.P to M.P, A and C went by car
with speed of 70 km/hr, while B
,d&nwljsa dh vksj xgjs fljs rFkk fNNys
travelled by Tonga (horse cart) at
fljs ls rSjuk 'kq: djrh gSA os ,d lkFk
30 km/hr. After a certain distance C got
300 ehVj yEcs rj.k rky esa rSjuk 'kq:
off and travelled the rest distance by
djrs gSA mudh pky dk vuqikr Øe'k%
another tonga at 30 km/hr. While A
1 % 2 gSA çR;sd rSjkd nwljs Nksj ij went back for B and reached the
igqapdj 6 lsdaM dk foJke djrk gS rFkk destination at the same time that C
okil rSjuk 'kq: djrk gSA rj.k rky ds arrived. Find the total time of Journey.
fLFkj ikuh esa nwljs le; esa os dgka feysxsa\
A] B rFkk C U.P. ls M.P. ds chp
(a) Deep end 560 fdeh- dh ;k=k djrs gSA A rFkk C
(b) Shallow end 70 fdeh@?k.Vk dh pky ls dkj }kjk
tcfd B 30 fdeh@?k.Vk dh pky ls rkaxs
(c) The never meet }kjk ;k=k 'kq: djrs gSA dqN nwjh ds ckn
C mrj tkrk gS rFkk 'ks"k nwjh dks vU; rkaxs
(d) Can’t deter mind
}kjk 30 fdeh@?k.Vk dh pky ls r; djrk
163. A, B and C travels a distance of gSA tcfd A] B ds fy, okil tkrk gS rFkk
1200 km from delhi to Jaipur, A and C
 eafty ij C ds igqapus ds le; ds lkFk (a) 2 min, 25 sec
nksuks igqaprs gSA ;k=k dk dqy le; crkvksA
(b) 2 min, 50 km
(a) 16 hr. (b) 15 hr.
(c) 3 km, 20 km
(c) 12 hr. (d) 10 hr.
(d) 3 km, 30 km
165. A man travel 360 km in 4 hrs partly by
167. In a race A and B run a 5 km race on
airoplane and partly by train. If he had
round course of 400 m. If their speed
travelled all the way by airoplane then
are in the ratio 5 : 4, the number of
he would have arrived 2 hrs earlier at
4 times, the winner passes the other is.
his destination and save of the time
5
taken by train. Find the distance A rFkk B 5 fdeh- dh ,d nkSM+ 400 ehVj ds
travelled by airoplane and train ,d o`Ùkkdkj eSnku esa nkSM+uk 'kq: djrs gSaA
separately. ;fn mudh xfr dk vuqikr 5 % 4 gS rks
fotsrk gkjus okys dks fdruh ckj ikj djsxk\
,d vkneh 360 fdeh- nwjh dk dqN Hkkx
gokà tgkt rFkk dqN Hkkx Vªsu }kjk 4 ?kaVs (a) 4 Times (b) 2 Times
esa r; djrk gSA ;fn og lkjk jkLrk gokÃ
(c) 3 Times (d) 5 Times
tgkt }kjk r; djs rks vius xUrO; ij
2 ?kaVs tYnh igqap tkrk gS vkSj Vªsu }kjk 168. In a race of 1000 m, A can beat B by
4 100 m. In a race of 400 m, B beats C by
yxus okys le; ds 5 Hkkx le; dh cpr
40m. In a race of 500 m. A will beat C
dj ysrk gSA Øe'k% gokà tgkt o Vªsu }kjk
by.
r; nwjh Kkr djksA
1000 ehVj dh nkSM+ esa A] B dks 100 ehVj
(a) 180 km, 180 km
ls gjk ldrk gS rFkk 400 ehVj dh nkSM+ esa
(b) 200 km, 160 km B] C dks 40 ehVj ls gjk ldrk gSA
500 ehVj dh nkSM+ esa A] C dks fdrus ehVj
(c) 270 km, 90 km
ls gjk, xk\
(d) 210 km, 150 km
(a) 95 m (b) 5m
166. In a one km race A and B run a
(c) 45 m (d) 60 m
kilometre and A wins by 25 sec. A and C
run a kilometre and a wins by 275m. 169. In a race of 800 metres, A can beat B
When B and C run the same distance, B by 40 metres. In a race of 500 metres, B
wins by 30 sec. The time taken by A to can beat C by 5 metres. In a race of
run a kilometer is. 200 metres, A will beat C by.

1 fdeh- dh jsl esa A] B dks 25 lsds.M ls 800 ehVj dh nkSM+ esa A] B dks 40 ehVj ls
gjk nsrk gS rFkk 1 fdeh- dh jsl esa A] C dks gjk ldrk gS rFkk 500 ehVj dh nkSM+ esa B]
275 ehVj ls gjk nsrk gS rFkk blh jsl esa B] C dks 5 ehVj ls gjk ldrk gSA 200 ehVj
C dks 30 lsds.M ls gjk nsrk gSA A }kjk dh nkSM+ esa A] C dks fdrus ehVj ls gjk,xk\
1 fdeh- fdruh nsj esa r; fd;k tk,xk\
 (a) 11.9 m (b) 1.19 m (c) 600 m (d) 450 m

(c) 12.7 m (d) 27 m 173. In a 1000 m race a gives a start of

100 m to B and 150 m. to C. How much
170. In a race of 200 meter, B can give a
start B can give to C in a race of 1000 m.
start of 10 meter to A and C can give a
start of 20 meters, to B. The start that C 1000 ehVj dh ,d nkSM+ esa A us B dks
can give to A, in the same race is. 100 ehVj dh 'kq:vkr nh vkSj C dks
150 ehVj dh 'kq:vkr nhA 1000 ehVj dh
200 ehVj dh nkSM+ esa B, A dks 10 ehVj rFkk
nkSM+ esa B] C dks fdruh 'kq#vkr ns ldrk
C, B dks 20 ehVj dh c<+r ns ldrk gS mlh
gSA
nkSM+ esa C, A dks fdruh c<+r ns ldrk gS\
(a) 50 m (b) 45 m
(a) 30 m (b) 25 m
5
(c) 29 m (d) 27 m (c) 60 m (d) 559 m

171. In a race of 1 kilometre. A gives B a 174. In a race A can give 40 metres start to
start of 100 metres and still wins by B and 70 metres to C in a race of one
20 seconds. But if A gives B a start of kilometre how many metres start can B
25 seconds, B wins by 50 meters. The give to C in a race of one kilometre?
time taken by A to run one kilometre is:
1 fdeh- dh nkSM+ esa A] B dks 40 ehVj rFkk
,d fdeh dh nkSM+ esa A] B dks 100 ehVj C dks 70 ehVj dh c<+r ns ldrk gS mlh
dh c<+r nsrk gS rFkk fQj Hkh 20 lsdaM ls jsl esa B] C dks fdruh c<+r ns ldrk gS\
thr tkrk gS ;fn A] B dks 25 lsds.M dh 700
'kq#vkr ns rks B] 50 ehVj ls thr tkrk gS- (a) 30 m (b) m
29
A }kjk 1 fdeh- dh nwjh fdruh nsj esa r; 1
(c) 314 m (d) 32 m
gksxh\
500 175. A monkey climbs 63 m high greased
(a) 17 sec (b) sec
29 pole. In 1st minute he climbs 12 m and
1200 700 in the seconds minutes he comes down
(c) sec (d) sec
29 29 by 5 m in what time will he comes to
2 the height of pole:
172. A is 13 times faster than B. A gives
160 m start to B in a race. Find the ,d canj 63 ehVj Åaps xzhl yxs gq, [kEHks
length of race if both finish the race at ij p<+us dk ç;kl djrk gSA igyh feuV esa
same time? ;g 12 ehVj p<+ tkrk gSA tcfd nwljh
2
feuV esa ;g 5 ehVj fQly tkrk gSA ;fn
A] B ls 13 xquk rst gSA A us B dks ,d og blh çdkj bl [kEHks ij p<+us dk ç;kl
nkSM+ esa 160 ehVj dh 'kq#vkr nhA nkSM+ dh djs rks crkb;s fdrus le; esa [kEHks ds “kh"kZ
yEckà Kkr djks vxj nksuksa ,d gh le; ij ij igqap tk,xkA
nkSM+ [kRe djrs gks]a rks
(a) 16 min. 35 sec
(a) 300 m (b) 400 m
 (b) 12 min. 54 sec ç;kl djs rks crkb;s fdrus le; esa [kEHks ds
“kh"kZ ij igqap tk,xkA
(c) 16 min. 50 sec
(a) 24 min.
(d) 15 min. 35 sec
(b) 27 min. 15 sec
176. A monkey climbs 57 m high greased
pole. In 1st minute he climbs 10 m and (c) 600 min.
in the seconds minutes he comes down
by 2 m in what time will he comes to (d) 450 min.
the height of pole: 178. Speed of a steam engine is 24 km/hr
,d canj 57 ehVj Åaps xzhl yxs gq, [kEHks without any wagon. The decrease in
ij p<+us dk ç;kl djrk gSA igyh feuV esa speed of engine is directly proportional
to the square root of no. of wagons
;g 10 ehVj p<+ tkrk gSA tcfd nwljh
attached. If 4 wagons are attached with
feuV esa ;g 2 ehVj fQly tkrk gSA ;fn
engine speed becomes 20 km/hr. Find
og blh çdkj bl [kEHks ij p<+us dk ç;kl
the miximum no. of wagons which are
djs rks crkb;s fdrus le; esa [kEHks ds “kh"kZ
attached with engine so that engine can
ij igqap tk,xkA
carry?
(a) 15 min. 54 sec
fcuk fdlh fMCcs ds ,d Hkki batu dh pky
(b) 12 min. 54 sec 24 fdeh@?kaVk gS batu dh xfr esa deh
fMCcs dh la[;kvksa ds oxZ ds lekuqikrh gS
(c) 12 min. vxj 4 fMCcs tksM+ fn, tk, rks pky
(d) 15 min. 20 fdeh@?kaVk gks tkrh gSA Kkr djks fd
;g batu T;knk ls T;knk fdrus fMCcs ys tk
177. A monkey climbs 84 m high greased ldrk gS\
pole. In 1st minute he climbs 12 m and
in the seconds minutes he comes down (a) 144 (b) 143
by 5 m. After 16 min he jump to second
(c) 140 (d) N.O.T
pole of same height 16 meter down.
Now again start climbs with same 179. Speed of a steam engine is 35 km/hr
process and he takes 30 sec time into without any wagon. The decrease in
jump. In what time will he comes to the speed of engine is directly proportional
height of pole: to the cube root of no. of wagons
attached. If 125 wagons are attached
,d canj 84 ehVj Åaps xzhl yxs gq, [kEHks
with engine speed becomes 10 km/hr.
ij p<+us dk ç;kl djrk gSA igyh feuV esa Find the miximum no. of wagons which
;g 12 ehVj p<+ tkrk gSA tcfd nwljh are attached with engine so that engine
feuV esa ;g 5 ehVj fQly tkrk vkSj can carry?
16 feuV- ckn canj lkFk esa nwljs [kEHks ij
16 eh- uhps Nykax yxkrk gSA ;fn canj dks fcuk fdlh fMCcs ds ,d Hkki batu dh pky
Nykax esa 30 lsdaM dk le; yxk gSA vkSj 35 fdeh@?kaVk gS batu dh xfr esa deh
;fn og blh çdkj bl [kEHks ij p<+us dk fMCcs dh la[;kvksa ds ?kuewy ds lekuqikrh gS
 vxj 125 fMCcs tksM+ fn, tk, rks pky collision of train. If the speed of one
10 fdeh@?kaVk gks tkrh gSA Kkr djks fd train is 25 m/sec. Find the speed of
;g batu T;knk ls T;knk fdrus fMCcs ys tk second train?
ldrk gS\
flxuy flLVe esa rduhdh [kjkch gksus ds
(a) 342 (b) 343 dkj.k nks jsyxkM+h] nks vyx&vyx LVs'kuksa
ls ,d gh jsy iFk ij ,d&nwljs dh vksj
(c) 340 (d) 443 pyuk 'kq: djrh gS ftuds chp dh nwjh
180. Speed of a steam engine is 45 km/hr 360 fdeh- gSA tc jsyxkM+h pyuk çkjaHk
without any wagon. The decrease in djrh gS rc ,d fpfM+;ka Hkh 78 fdeh@?k.Vk
speed of engine is directly proportional dh mM+ku ls nksuksa jsyxkfM+;ksa ds chp fujarj
to the cube root of no. of wagons mM+uk 'kq: djrh gS vkSj çR;sd ckj] çR;sd
attached. If 729 wagons are attached jsyxkM+h rd tkrh gSA vkjEHk esa fpfM+;k
with engine speed becomes 18 km/hr. fdlh ,d jsyxkM+h ds batu ds mijh fljs
Find the no. of wagons which are ij cSBh gqà gksrh gS rks og rc rd mM+rh
attached with engine at the speed of jgrh gS tc rd nksuksa jsyxkfM+;ka vkil esa
9 km/hr. Vdjk ugÈ tkrh gSA ;fn pyus ds 2-5 ?k.Vs
ckn os nksuksa jsyxkM+h vkil esa Vdjkrh gS rks
fcuk fdlh fMCcs ds ,d Hkki batu dh pky
Vdjkus ds le; rd ;g fpfM+;ka fdrus
45 fdeh@?kaVk gS batu dh xfr esa deh
fdeh- dh nwjh r; dj pqdh gksxhA ;fn
fMCcs dh la[;kvksa ds ?kuewy ds lekuqikrh gS
igyh jsyxkM+h dh pky 25 eh-@ lsd.M gks
vxj 729 fMCcs tksM+ fn, tk, rks pky
rks nwljh jsyxkM+h dh pky Kkr djs\
18 fdeh@?kaVk gks tkrh gSA Kkr djks fd
;g batu 9 fdeh-@?kaVk dh pky ls fdrus (a) 195 km, 90 km/ hr.
fMCcs ys tk ldrk gS\
(b) 185 km, 54 km/ hr.
(a) 1727 (b) 1331
(c) 170 km, 45 km/ hr.
(c) 1330 (d) 2197
(d) 195 km, 54 km/ hr.
181. Due to the technical snage in the
signal system two trains start 182. Points A and B are 500 km apart on a
approaching each other on the same highway. One car starts from A and
rail track from two different stations, another from B at the same time. If the
360 km away from each other. When cars travel in the same direction, they
the train starts a bird also starts meet in 25 hours. If the cars travel
moving to and from between the two towards each other, they meet in
trains at 78 km/h touching each time 10 hour. What is the speed of the faster
each train. The bird is initially sitting on car?
the top of the engine of one of the trains A vkSj B fcUnq jktekxZ ij 500 fdeh- nwjh
and it moves so till these trains collide. ij gSaA ,d dkj A ls vkSj nwljh dkj mlh
If these trains collide two and a half
le; B ls pyuk 'kq: djrh gSA ;fn dkj
hour after the start, then how many
leku fn'kk esa pyrh gSa- rks 25 ?kaVs esa fey
kilometres bird travells till the time of
 tkrh gSaA ;fn dkjsa ,d&nwljs dh fn'kk esa (c) 6:00 PM (d) 5:30 PM
pyrh gSa] rks 10 ?kaVs esa feyrh gSa rst xfr
185. Due to inclement weather, an
dh dkj dh xfr D;k gS\
airplane reduced its speed by
(a) 15 km/ hr. 300 km/hr, and reached the destination
of 1200 km late by 2 hrs. then the
(b) 35 km/ hr. schedule time. Schedule duration of the
flight was.
(c) 50 km/ hr.

(d) 40 km/ hr.

[kjkc ekSle ds dkj.k fdlh gokà tgkt us
viuh j¶rkj 300 fd-eh@?ka- de dj nh
183. Two trains each having a length of vkSj 1200 fdeh- nwjh dks r; djus esa vius
160 meters moving in opposite xarO; le; ls 2 ?kVs nsjh ls igq¡pkA crkb,
direction crossed each other in ml mM+ku ds igqpus dh fuèkkZfjr vofèk D;k
9 seconds. If one train crossed a Fkh\
200 metre long platform in 27 seconds,
then the ratio of their speeds is: (a) 1 hour (b) 1.5 hours

foijhr fn'kk esa vkrh nks jsyxkfM+;ka ftuesa (c) 2 hours (d) 2.5 hours
ls çR;sd dh yEckà 160 eh- gS] os ,d&nwljs
186. A goods train and passenger train are
dks 9 lsdsM
a esa ikj dj tkrh gSA ;fn ,d running in same direction with a speed
jsyxkM+h] 200 ehVj yEcs IysVQkeZ dks in the ratio 5 : 9. The driver of goods
27 lsdsMa esa ikj djrh gS] rks mudh pkyksa train observes that the passenger train
dk vuqikr D;k gksxk% coming from behind overtake and
crossed his train completely in 102 sec.
(a) 3:4 (b) 3:5
Where as a passenger on passenger
(c) 5:8 (d) 2:8 train looks that he cross the goods train
in 57 sec. Find the ratio of their length.
184. Four people are runing around a
circular ground from a point on the ,d ekyxkM+h vkSj ,d lokjh xkM+h ,d gh
circumference at 9:00 am. For one fn'kk esa tk jgh gSa ftudh pkyksa dk vuqikr
round these four persons take 5 % 9 gSA ekyxkM+h dk Mªkboj ;g eglwl
respectively 40, 50, 60 and 30 minutes. djrk gS fd ihNs ls vkus okyh lokjh xkM+h]
At what time will they meet together ekyxkM+h dks 102 lsds.M esa ikj dj ysrh
again? gSA tcfd lokjh xkM+h dk ,d ;k=h ;g
lqcg 9%00 cps pkj vkneh ,d o`Ùkkdkj ns[krk gS fd mlus eky xkM+h dks 57 lsds.M
eSnku esa mldh ifjfèk ij ,d Çcnq ls nkSM+ esa ikj fd;k gSA mudh yackà dk vuqikr
jgs gSaA ,d pDdj yxkus ds fy,] ;s pkj Kkr djks\
vkneh Øe'k% 40] 50 ] 60 vkSj 30 feuV dk (a) 11 : 12 (b) 15 : 13
le; ysrs gSaA os fdl le; ,d nwljs ls
fQj feysx a \s (c) 19 : 17 (d) 19 : 15

(a) 4:30 PM (b) 7:00 PM 187. A goods train and passenger train are
running in opposite direction with a
 speed in the ratio 3 : 5. The driver of (a) 9 km/ hr.
the goods train observes that the
(b) 8 km/ hr.
passenger train coming towards it and
crossed his train completely in 45 sec. (c) 6 km/ hr.
Where as a passenger on passenger
train looks that he cross the goods train (d) 7 km/ hr.
in 20 sec. Find the ratio of their length.
189. 4 Cities P, Q, R and S are on the corner
,d ekyxkM+h vkSj ,d lokjh xkM+h foifjr of the square and side of a square is
fn'kk esa tk jgh gSa ftudh pkyksa dk vuqikr x km. A taxi travels from P to Q
3 % 5 gSA ekyxkM+h dk Mªkboj ;g eglwl 200 km/hr, Q to R 400 km/hr, R to S
djrk gS fd lkeus ls vkus okyh lokjh 600 km/hr and S to P 800 km/hr. Find
xkM+h] ekyxkM+h dks 45 lsds.M esa ikj dj the average speed of taxi in whole
ysrh gSA tcfd lokjh xkM+h dk ,d ;k=h jurney.
;g ns[krk gS fd mlus eky xkM+h dks pkj 'kgj P] Q] R] vkSj S oxZ ds pkjks dksuks
20 lsds.M esa ikj fd;k gSA mudh yackà dk ij fLFkr gS rFkk oxZ dh çR;sd Hkqtk
vuqikr Kkr djks\ x fdeh- yEch gSA ,d VSDlh P ls Q
(a) 3:2 (b) 5:4
200 km@hr ls] Q ls R 400 km@hr] R
ls S 600 km@hr rFkk S ls P 800 km@hr
(c) 4:5 (d) 1:2 dh pky ls r; djrh gS rks mldh vkslr
pky Kkr djsA
188. Mr. x leaves home at 1 pm to pick – up
his son from school and back to home (a) 384 km/ hr.
at 3 pm. One day school was over at
1 pm and his son start walking towards (b) 96 km/ hr.
home. Mr. x left his home at his usual
(c) 192 km/ hr.
time. They meet on the way at some
where and they reached home 12 min. (d) 500 km/ hr.
earlier than their usual time. If the
speed of mr. X's car is 63 km/hr than 190. 4 Cities A, B, C and D are on the corner
find the speed of his son in (km/hr.). of the square and side of a square is
x km. A taxi travels from A to B @ of
Mr. x, ,d cts nksigj ij vius csVs dks 120 km/hr, B to C @ of 240km/hr, C to
Ldwy ls ysus ds fy, ?kj ls jokuk gksrs gSa D @ of 360 km/hr and D to A @ of S
vkSj Bhd 3pm ij ?kj okil vk tkrs gS ,d km/hr. If the average speed of taxi in
fnu Ldwy dh Nqêh 1pm is gks tkrh gS vkSj whole jurney is 180 km/hr then find
mldk csVk ?kj ds fy, iSny pyuk 'kq: the value of S.
djrk gS Mr. x r; le; ij ?kj ls fudyrk pkj 'kgj A] B] C] vkSj D oxZ ds pkjks dksuks
gS vkSj jkLrs esa nksuksa fdlh txg feyrs gS ij fLFkr gS rFkk oxZ dh çR;sd Hkqtk
nksuksa jkstkuk le; ls 12min igys ?kj igqap x fdeh- yEch gSA ,d VSDlh A ls B
tkrs gSa ;fn Mr. x dh dkj dh pky o 120 km@hr ls] B ls C 240 km@hr] C ls
63 km@hr jgh gks rks mlds csVs dh pky D 360 km@hr rFkk D ls A, S km@hr
¼ km@ hr½ esa D;k gksxhA
 dh pky ls r; djrh gS ;fn VSDlh dh
vkSlr pky dqy nwjh dks r; djus esa
180 km@hr jgh gks rks S dk eku Kkr
djsA
(a) 140 km/ hr.

(b) 120 km/ hr.

(c) 144 km/ hr.

(d) 180 km/ hr.

191. A train passes a 240 metres long

platform in 34 seconds and a man
standing on the platform in 22 seconds.
The speed of the train is:

,d jsyxkM+h 240 eh- yacs IysVQ‚eZ rFkk

IysVQ‚eZ ij [kM+s ,d O;fä dks ikj djus esa
Øe'k% 34 lsdaM rFkk 22 lsdaM dk le;
ysrh gSaA jsyxkM+h dh xfr crk, ¼fdeh-@?kaVk½
esaA
(a) 48 km/ hr.

(b) 72 km/ hr.

(c) 80 km/ hr.

(d) 90 km/ hr.

 ANSWERSHEET

1. a) 54 km/ hr. 38. d) 25 sec. 72. d) 80 km/ hr.

2. c) 18 km/ hr. 39. b) 84 sec. 73. i) 11am.
3. b) 45 min 40. b) 200 sec. ii)150 km.
4. c) 14400 sec. 41. c) 1200 m iii)
2 hrs. 24 min.
5. d) 5:15 pm 42. d) 300 m iv)20 km
6. b) 750 km/ hr. 43. b) 238 m 74. i) 11 : 18 am.
1
7. c) 3:4 44. b) 7 6 sec. ii)132 km
8. c) 8 hours iii)
4 hrs. 57 min.
45. a) 800 m
9. b) 35 km/ hr. iv) 40 km
46. b) 19 min
10. d) 5 km/ hr. 75. d) 560 km
47. c) 27 min
11. c) 7 hr. 30 min. 76. b) 408 km
48. b) 35 km
12. a) 36 km/ hr. 77. a) 6:50 pm
49. a) 34 min
13. c) 30 km/ hr. 75 78. c) 1472 km
50. b) km/ hr.
14. c) 60 min. 8 79. b) 400 km
15. a) 9.6 km/ hr. 51. a) 32 km 80. b) 636 km
16. b) 40 km/ hr. 52. b) 6 km/hr. 81. d) 30 km/ hr.
17. d) 1.5 lakh 53. b) 48 km/ hr. 82. c) 52.8 km/ hr.
18. c) 6 hrs. 54. c) 15 km 83. c) 30 km/hr.
19. b) 100 days 55. a) 10 km, 1hr.50 min., 84. b) 52.5 m/s, 7.5 m/s
5
20. b) 80 sec. 5 km/hr. 85. a) 16.5 km/ hr.
11
21. a) 20 km 56. a) 20 km, 3 hr. 20min., 86. h) 2:1
22. c) 96 km 6 km/ hr. 87. b) 500 m
23. b) 54 km/ hr. 57. b) 45 km 88. a) 19 min
24. b) 24 km/ hr. 58. c) 48 km, 64 km/ hr. 89. b) 576 m
25. b) 45 : 36 : 35 59. a) 24 km 90. a) 100 m
7
26. c) 18 hr., 79 km/ hr. 60. b) 420 km 91. a) 63 km/ hr.
61. b) 720 km 92. a) 60 km/ hr.
27. a) 3 pm
9 62. b) 35 km 93. i) 50 km/ hr.
28. c) km
7 63. a) 28 km ii)10 km/ hr.
29. d) 24 km/hr. iii)20 km/ hr.
64. b) 50 min
30. a) 45 km/hr. iv) 30 km/ hr.
65. a) 20 min
31. b) 1265 m 94. d) 54 km/ hr.
66. b) 13 min
32. b) 88 km/ hr. 95. c) 63 km/ hr.
67. b) 36 min
33. a) 18 sec 96. a) 30 km/ hr.,
68. c) 217 km
34. b) 54 sec 35 km/ hr.
69. b) 307.5 km
35. a) 30 sec 97. b) 40 km/ hr.,
70. d) 20 km/ hr.
36. b) 630 m 3 𝑥𝑦𝑥 45 km/ hr.
37. a) 20 sec. 71. b)
𝑥𝑦+𝑦𝑧+𝑧𝑥 98. b) 6 : 1
 99. b) 45 : 11 139. a) 22 km/ hr. 175. a) 16 min. 35 sec.
100. b) 3:1 140. b) 21 km/ hr. 176. b) 12 min. 54 sec.
2
101. c) 300 km 141. a) 185 km/ hr. 177. b) 27 min. 15 sec.
102. c) 15 km/ hr. 178. b) 143
142. b) 4.5 km/ hr.
103. d) 30 hrs. 179. a) 343
143. c) 42 km/ hr.
104. b) 12 km/ hr. 180. a) 1727
144. b) 51 km/ hr.
105. a) 20 km/ hr. 181. d) 195 km, 54 km/hr.
145. c) 24 km/ hr.
106. d) 50 km/hr. 182. b) 35 km/ hr.
146. b) 3 second
107. d) 20 km/ hr. 183. b) 3:5
147. b) 9 km/ hr.
108. b) 30 km/ hr. 184. b) 7:00 PM
148. c) 63 km/ hr.
109. b) 7.5 hours after 185. c) 2 hours
149. d) 66 km/ hr.
the start 186. d) 19 : 15
150. d) 198 km/ hr.
110. a) 27 min 187. c) 4:5
151. d) 350 m
111. c) 6 hrs. 188. d) 7 km/ hr.
152. c) 100 km/ hr.,
112. a) 4 : 21 189. a) 384 km/ hr.
1200 km
113. b) 8 am 190. c) 144 km/ hr.
153. b) 40 km/ hr.,
114. d) 10 am 191. b) 72 km/ hr.
760 km
115. d) 250 m
154. a) 90 km/ hr.
116. c) 15 min
1600 km
117. b) 3576 sec.
155. a) 80 km/ hr.
118. b) 84 min.
1
550 km
119. d) 333 % 156. b) 45 km/ hr.,
120. b) 7 300 km
121. a) 15 : 1 157. d) 87.5 km/ hr.
122. d) 42 km/ hr. 158. a) 60 km/ hr.
123. b) 240 km 159. a) 750 km/ hr.
124. b) 60 km/hr. 160. d) 400 km/ hr.
125. a) 54.6 km 161. c) 3:4
126. c) 300 km 162. b) shallow end
127. c) 600 km 163. d) 48 hr.
128. d) 09:12 am 164. c) 12 hr.
129. b) 10:15 am 165. c) 270 km, 90 km
130. a) 3:2 166. a) 2 min, 25 sec
131. a) 12:44 pm 167. b) 2 Times
132. c) 5:15 pm, 168. c) 95 m
11.25 km 169. a) 11.9 metre
133. a) 7 pm 170. c) 29 metres
134. b) 30 sec 500
171. b) sec.
29
135. b) 43.2 sec
172. b) 400 m
136. d) 15 km/ hr. 5
173. d) 559 m
137. d) 15 km. hr.
3
138. d) 61 km/ hr. 174. c) 314 m