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Train Speed and Time Problems for Exams

A 100m long train running at 36km/hr will take 10 seconds to cross a 300m long bridge. A 300m long train running at 90km/hr will cross a 250m long platform in 39 seconds. The length of the platform is 650m.
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0% found this document useful (0 votes)
66 views4 pages

Train Speed and Time Problems for Exams

A 100m long train running at 36km/hr will take 10 seconds to cross a 300m long bridge. A 300m long train running at 90km/hr will cross a 250m long platform in 39 seconds. The length of the platform is 650m.
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Advanced Edge Material 1

TRAIN QUESTION LEVEL - I long platform in 22 sec. What is the length of the train?
1. Find the time taken by a 100m long train running at (CLERK 2003)
36km/hr to cross a bridge 300m long. a. 280m b. 260m c. 250m d. 300m
a. 10 sec b. 36 sec c. 25 sec d. 40 sec 14. A 300 mt long train crosses a platform in 39 second
2. How much time will a train 300m long running at 54 while it crosses a signal pole in 18 seconds. What is
km/hr take to pass a stationary pole? the length of the platform?
a. 12 sec b. 20 sec c. 18 sec d. 30 sec (ANDHRA BANK SPECIALIST OFFICER 2002)
3. Two trains 130m and 120m in length are running in a. 320m b. 650m c. 350m d. N.O.T.
same direction at 70km/hr and 52km/hr respectively. In 15. A train 125m long takes 30 seconds to cross a tree by
what time will they be clear of each other from the the railway line. Then the speed of the train is
moment they meet? (SSC CGL 2002)
a. 40 sec b. 48 sec c. 45 sec d. 50 sec a. 14km/hr b. 15km/hr
4. A train 150m long is running at 90 km/hr. How much c. 16km/hr d. 12km/hr
time will it take to pass a man moving in the same 16. A train covers a distance of 90km at a uniform speed.
direction at 5km/hr? Had the speed been 15km/hr more, it would take 30
a. 5 sec b. 6 sec c. 3 sec d. 2 sec minutes less for the journey. The original speed of the
5. Two trains 120m and 80m in length are moving towards train is :
each other on parallel tracks at 84km/hr and 60km/hr (RRB 2002)
respectively. In what time will they be clear of each a. 45km/hr b. 55km/hr
other from the moment they meet? c. 30km/hr d. 60km/hr
a. 3 sec b. 5 sec c. 6 sec d. 8 sec 17. A train running at a speed of 120km/hr crosses a signal
6. A train 100m long is running at 80km/hr. In what time post in 15 sec. What is the length of the train in metres?
will it pass a man moving towards it at 10km/hr? (PO 2000)
a. 4 sec b. 5 sec c. 9 sec d. 3 sec a. 300 b. 200
7. A train running at 30km/hr takes 8 sec. to pass a man c. 500 d. cannot be determined
walking towards it at 6km/hr. Find the length of the 18. A train of length 175 m takes 10 seconds to pass by
train another train 125 m long coming from the opposite
a. 120m b. 80m c. 200m d. 240 direction. If the speed of the first train be 30 km/hr, the
8. A running train crosses a station pole in 4 second and speed of the second train (in km/hr) is :[LDC - 2012]
a platform 75 metres long in 9 sec. Find speed of the a. 60 b. 72 c. 78 d. 84
train and its length 19. Two trains travel in the same direction at the speeds of
a. 60m, 15m/sec b. 58m, 10m/sec 56 km/hr and 29 km/hr respectively. The faster train
c. 50m, 10m/sec d. 45m, 12m/sec passes a man in the slower train in 10 seconds. The
9. A train passes two bridges of lengths 800 m and 400 m length of the faster train (in metres) is
in 100 sec and 60 sec respectively. The length of the (SSC CGL Exam. 04.02.2007 )
train in meters is : a. 100 b. 80 c. 75 d. 120
a. 80 m b. 90 m c. 200 m d. 150 m 20. Two trains with speed 30 km/hr and 58 km/hr are running
10. A train travelling at the speed of 60km/hr crosses a in same direction. A person sitting in slower train
platform in 20 sec. What is the length of the train? crosses faster train in 18 sec. Find length of faster train
(PO, 2008) ?
a. 333mt b. 300mt (SSC-2006)
c. 336mt d. data inadequate a. 100 m b. 250 m c. 140 m d. 200 m
11. A 175 mt long train crosses a 35 mt platform in 12 sec-
onds. What is the speed of the train in km/hr?
(BANK CLERK 2007) TRAIN QUESTION LEVEL - II
a. 60km/hr b. 63km/hr c. 59km/hr d. 61km/hr 1. Two trains A and B start from two station Delhi and
12. Two trains 105 mt and 90 mt long, run at the speed of Kanpur and move towards each other. After crossing
45km/hr & 72km/hr respectively, in opposite directions they take 4 hours and 9 hours to reach Kanpur and
on parallel tracks. The time which they take to cross Delhi respectively. Speed of first train is 60km/hr. Find
each other is speed of second train.
(SSC CGL 2007) a. 90km/hr b. 40km/hr
a. 8 sec b. 6 sec c. 7 sec d. 5 sec c. 80km/hr d. 60km/hr
13. A train running at the speed of 90km/hr crosses a 250m 2. The distance between two station P and Q is 480km.

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Advanced Edge Material 2
Two trains start simultaneously from P and Q respec- tion at a speed of 3km/hr & 5km/hr respectively in 10
tively and meet after 4 hours. If the differance in their sec and 11 sec respectively. The speed of the train is
speeds is 10km/hr. Find their speeds- (SSC CPO SI 2006)
a. 45 km/hr, 55 km/hr b. 60 km/hr, 50 km/hr a. 28km/hr b. 27km/hr
c. 35 km/hr, 45 km/hr d. 65 km/hr, 55 km/r c. 25km/hr d. 24km/hr
3. Without stoppage a train covers a certain distance at 11. The length of a train and that of a platform are equal. If
an average speed of 90km/hr. But with stoppages it with a speed of 90km/hr the train crosses the platform
covers the same distance at an average speed of 75km/ in one minute, then the length of the train (in m) is
hr. How much time per hour does the train stop? (SSC 2000)
a. 10min b. 18min c. 12min d. 19min a. 500 b. 600 c. 750 d. 900
4. A train running at 72km/hr passes a tunnel completely 12. Two trains are running at 40 km/hr and 20 km/hr re-
in 3 minutes. While inside the tunnel, it crosses an- spectively in the same direction. The fast train com-
other train of length three fourth of itself, coming from pletely passes a man sitting in the slow train in 5 sec-
opposite direction at 90km/hr and passes it completely onds. The length of the fast train is :
1 2 7
in 3 seconds. Find the length of the train and tun- a. 23 m b. 27 m c. 27 m d. 23 m
2 9 9
nel. [CGL MAINS - 2013]
1 13. Two trains, of same length, are running in parallel tracks
a. 67 m, 3400 m b. 90m, 3510m in opposite direction with speed 65 km/hr and 85 km/hr
2
respectively. They cross each other in 6 seconds. The
c. 77 m, 700 m d. 90 m, 4000m length of each train is [LDC - 2013]
5. A train starts from station P at 9am towards station Q a. 100 metre b. 115 metre
210 km away with speed 50km/hr. Another train starts c. 125 metre d. 150 metre
from station Q at 11am and travells at 60km/hr towards
station P. At what distance from Pwill they meet? 14. A train 240 m long, travelling at 90 km/hr overtakes
a.150km b. 160km another train travelling in the same direction at 72 km/
c. 120km d. 210km hr and passes it completely in 80 seconds. The length
6. Two trains, each of length 90mt, runs on parallel tracks. of the second train in metres is :
When running in the same direction, the faster train a. 160 b. 400 c. 248 d. 180
passes the slower train completely in 18 sec, but when [SSC DEO - 2013]
they are running in opposite directions approaching 15. Two trains start from a certain place on two parallel
each other at the same speed as before they cross tracks in the same direction. The speed of the trains
each other in 9 seconds. Find the speed of each train. are 45 km/hr and 40 km/hr respectively. The distance
a. 5m/sec, 15 m/sec b. 10m/sec, 15 m/sec between the two trains after 45 minutes will be
c. 4m/sec, 10 m/sec d.6m/sec, 10 m/sec a. 2 km 500 m b. 2 km 750 m
7. A train passes two men walking in the direction oppo- c. 3 km 750 m d. 3 km 250 m
site to the train at 7m/sec & 12 m/sec in 4 seconds and (SSC Assistant Grade-III Exam. 11.11.2012 (IInd sitting)
5 seconds respectively. Find the length of the train. 16. Two trains of equal length are running on parallel lines
a. 100m b. 120m c. 130m d. 150m in the same direction at 46 km/hr and 36 km/hr. The
8. Two trains of equal length but travelling at different faster train passes the slower train in 36 seconds. The
speed cross a stationary pole in 3 seconds and 5 sec- length of each train is :
onds respectively. How much time they will take to a. 82 m b. 50 m c. 80 m d. 72 m
cross each other when they are moving in the same (SSC (10+2) Level Data Entry
direction ? Operator & LDC Exam. 21.10.2012 (IInd sitting)
a. 13sec b. 15sec c. 14sec d. 20sec 17. A train 240 m long crosses a man walking along the
9. A train passes a platform 90 mt long in 30 seconds and line in opposite direction at the rate of 3 kmph in 10
a man standing on the platform in 15 seconds. The seconds. The speed of the train is
speed of train is a. 63 kmph b. 75 kmph
(SSC CPO SI 2007) c. 83.4 kmph d. 86.4 kmph
a. 12.4km/hr b. 14.6km/hr (SSC Combined Graduate Level
c. 18.4km/hr d. 21.6km/hr Tier-I Exam. 16.05.2010 (Second sitting)
10. A train passes two persons walking in the same direc- 18. A train with a uniform speed passes a platform, 122

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Advanced Edge Material 3
metres long, in 17 seconds and a bridge, 210 metres 5. A train travelling with uniform speed crosses two
long, in 25 seconds. The speed of the train is bridges of length 300 m and 240 m in 21 seconds and
a. 46.5 km/hour b. 37.5 km/hour 18 seconds respectively. The speed of the train is :
c. 37.6 km/hour d. 39.6 km/hour a. 72 km/hr b. 68 km/hr
(SSC CPO Sub-Inspector Exam 09.11.2008) c. 65 km/hr d. 60 km/hr
19. Two trains started at the same time, one from A to B (SSC (10+2) Level Data Entry
and the other from B to A. If they arrived at B and A Operator & LDC Exam. 21.10.2012 (IInd sitting)
respectively 4 hours and 9 hours after they passed 6. Two trains of equal length take 10 seconds and 15
each other, the ratio of the speeds of the two trains seconds respectively to cross a telegraph post. If the
was length of each train be 120 metres, in what time (in
a. 2 : 1 b. 3 : 2 c. 4 : 3 d. 5 : 4 seconds) will they cross each other travelling in oppo-
(SSC Combined Graduate Level site direction ?
Prelim Exam. 27.07.2008 a. 16 b. 15 c. 12 d. 10
(First sitting) (SSC Combined Graduate Level
20. Two train A&B travels from two station P&Q Prelim Exam. 08.02.2004 (First sitting)
respectively towards Q&P. After meeting they reach 7. A train travelling at 48 km/hr crosses another train,
opposite end in 2 hour 24 min and 4 hr 16 min having half its length and travelling in opposite direc-
respectively. If speed of train B is 60 km/hr then find tion at 42 km/hr, in 12 seconds. It also passes a railway
speed of train A? platform in 45 seconds. The length of the railway plat-
a. 72 km/hr b. 60 km/hr c. 80 km/hr d. 90 km/hr form is
a. 200 m b. 300 m c. 350 m d. 400 m
TRAIN QUESTION LEVEL - III (SSC Combined Graduate Level
Prelim Exam. 27.07.2008
1. A train takes 3 hours to run from one station to an- (Second sitting)
other. If it reduces its speed by 12km/hr, it takes 45 8. Two trains of equal length, running in opposite direc-
minutes more for the journey. The distance between tion, pass a pole in 18 and 12 seconds. The trains will
the station is cross each other in
(DMRC 2002) a. 14.4 seconds b. 15.5 seconds
a. 220km b. 210km c. 180km d. 160km c. 18.8 seconds d. 20.2 seconds
2. A train covers certain distance b/w two places at a (SSC Combined Graduate Level
uniform speed. If the train moved 10 km/hr faster, it Prelim Exam. 27.07.2008
would take 2 hours less. And if the train were slower (First sitting)
by 10 km/hr it would takes 3 hours more than the sched- 9. A train passes a platform 90 metre long in 30 seconds
uled time. Find the distance covered by the train. and a man standing on the platform in 15 seconds. The
[I.B. - 2013] speed of the train is :
a. 300km b. 600 km a. 12.4 kmph b. 14.6 kmph
c. 800 km d. 1200 km c. 18.4 kmph d. 21.6 kmph
3. Navjivan express from Ahmedabad to Chennai leaves (SSC CPO Sub-Inspector Exam 16.12.2007)
Ahmedabad at 6:30 a.m. and travels at 50 km/hr to- 10. The ratio of lengths of two trains is 5 : 3 and the ratio of
wards Baroda situated 100 km away. At 7:00 a.m., their speeds is 6 : 5. The ratio of times taken by them to
Howrah – Ahmedabad express leaves Baroda towards cross a pole is
Ahmedabad and travels at 40 km/hr. At 7:30 a.m., Mr. a. 5 : 6 b. 11 : 8 c. 25 : 18 d. 27 : 16
Shah, the traffic controller at Baroda realises that both (SSC Combined Graduate Level
the trains are running on the same track. How much Prelim Exam. 04.02.2007
time does he have to avert a head-on collision be- (Second sitting)
tween the two trains ? [CAT - 1999] 11. A train was stopped at a station for 6 min, after that its
a. 15 min b. 20 min c. 25 min d. 30 min speed is increased by 4 km/hr. After covering 36 km
4. P and Q are 27 km away. Two trains with speeds of 24 train accomodate the time lapse. Find initial speed of
km/hr and 18 km/hr respectively start simultaneously train.
from P and Q and travel in the same direction. They a. 40 km/hr b. 36 km/hr c. 42 km/hr d. 32 km/hr
meet at a point R beyond Q. Distance QR is 12. A steam engine can move without compartment at 24
a. 126 km b. 81 km c. 48 km d. 36 km km/hr. Reduction in speed of train is directly
(SSC Graduate Level Tier-II Exam. 16.09.2012) proportional to the square root of no. of compartment.

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Advanced Edge Material 4
Speed of train with 4 compartment is 20 km/hr. Find the train in consider the increase and decrease to be
maximum no. of compartment an engine can carry. uniform?
(SSC-1998) a. 50 km/hr b. 48 km/hr c. 70 km/hr d. 60 km/hr
a. 100 b. 99 c. 143 d. 144 20. A train normally takes 4 hrs to run between the station
13. A train of length 100m running with speed 60 km/hr A and B. One day the train started from station A but
croses a train running with double speed in opposite afer 1 hr its speed went down to half of its normal
direction in 10 sec. Find length of second train ? speed due to heavy rain. Having travelled 100 kms in
(SSC-2008) the heavy rain, the driver could not see the railway
a. 200 m b. 150 m c. 400 m d. 600 m track due to water flowing on it, so he decided to further
14. A train of length 300m crosses a man running with the slow down the speed by 50%. After that, the train
speed 4 km/hr in the direction of train in 30 sec. If after reached at station B in another is 4 hrs. Which of the
crossing man train reached next station exactly after following is the time taken by the train at station B
15 min. Find the time after which man will reach the from station A on that rainy day?
station after train crossed him. a. 5 hrs. b. 7 hrs. c. 9 hrs. d. 8 hrs.
(SSC-2008)
1 1
a. 2 hr b. 2 hr c. 3 hr d. 3 hr
2 2
15. Two trains are travelling in opposite direction with
speed 65 km/hr and 25 km/hr. They cross each other in
13 sec. A person sitting in the faster train observes
that slower train crosses him in 5 sec. Find length of
faster train.
a. 125 m b. 250m c. 200m d. 150m
16. Two trains are travelling in opposite direction with
speed 50 km/hr and 60 km/hr. Distance between then
at 2.00 PM is 88 km. Find the time when two train will
meet.
a. 2:40 PM b. 2:50 PM c. 3:00 PM d. 2:48 PM
17. Two trains running in opposite direction with speed
1
60 km/hr and 48 km/hr crosses each other in 13 3 sec. If
both train travel in same direction, then faster train
crosses men sitting in slower train in 45 sec.
Find length of slower train ?
a. 250 m b. 150 m c. 200 m d. 300 m
18. A train X departs from station A at 11:00 AM for station
B another train Y departs from station B at 11:00 AM
for station A. Train X travels at an average speed of 70
km/hr and does not stop anywhere untill it arrives at
station B. Train Y travels at an average speed of 50 km/
hr but has to stop for 15 minutes at station C, which is
60 km away from station B inroute to station A. Ignoring
the lengths of the trains, what is the distance, to the
nearest km, from station A to the point where train
crosses each other.
[CAT-2001]
a. 112 b. 118 c. 120 d. N.O.T.
19. Two stations A and B are separated by a distances of
35 km. A train starts from A and reaches its maximum
speed in 5 min. It maintain the speed for the next 30
minutes then reduces the speed and reaches station B
in another 5 min. The maximum speed reached by the

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