Races
1. In 100 m race A beats B by 10 m and B beats C by 10
m. By what distance A beat C (in m) ?
SSC MTS 9 August 2019 (Afternoon)
(a) 19 (b) 18
(c) 20 (d) 21
2. Two racers run at a speed of 100 m/min and 120
m/min respectively. If the second racer takes 10
minute less than the first to complete the run, then
how long is the race?
SSC CGL 3 March 2020 (Evening)
(a) 4 km (b) 6 km
(c) 1 km (d) 2 km
3. In a race of 1000 metres, A can beat by 100 metres.
In a race of 400 metres, B beats C by 40 metres, in a
race of 500 metres, A will beat C by :
(a) 95 metres (b) 100 metres
(c) 45 metres (d) 60 metres
4. In 1 km race A, B and C are three participants. A can
give B a start of 50 m and C, a start of 69 m. the start
which B can allow C is :
(a) 17 m (b) 20 m
(c) 19 m (d) 18 m
5. In a 100 m race A runs at a speed of 9 km/ hr. He
gives a start of 10 m to B and still defeat him by 10
sec. Find speed of B.
12 16
6 6
(a) 25 (b)
25
18 21
(c) 6 (d)
6
25 25
6. In a km race, A beats B by 30 seconds and B beats C
by 15 seconds. If A beats C by 180 m, the time taken
by A to run 1 km is:
(a) 250 sec (b) 205 sec
(c) 200 sec (d) 210 sec
7. A and B run 1 km and A wins by 25 second. A and C
run 1 km and A wins by 275 metre. When B and C
run the same distance, B wins by 30 seconds. The
time taken by A to run 1 km is :
(a) 2 min 25 sec (b) 2 min 50 sec
(c) 3 min 20 sec (d) 3 min 30 sec
8. In a race of 1 km, A give B a start of 100 metres and
still wins by 20 seconds. But if A gives B a start of 25
seconds, B wins by 50 metres. The time taken by A to
run 1 km is :
500
sec
(a) 17 sec (b)29
1200 700
(c) sec (d) sec
29 29
9. In a race of three horses, the first beat the second by
11 metres and the third by 90 metres. If the second
beat the third by 80 metres, what was the length in
metres of the racecourse?
(a) 800 m (b) 720 m
(c) 880 m (d) 990 m
10. Two cars, A and B, participated in a race of 1200 km.
Speeds of car A and car B are 100 km/hr and 120
km/hr, respectively. Car B gives car A a head start of T
hours. But car A has a nitro-boost, which increases its
speed by 25% for one hour. If both cars reach the
finish line at the same time, then find T.
(a) 2.5 hrs (b) 1.75 hrs
(c) 2 hrs (d) 1.5 hrs
11. In a race of D km, A wins over B by 0.2 D and in the
same length of race B wins over C by 0.25 D. What
should be the head-start to C, so that A and C finish
the race at the same time?
(a) 0.6 D (b) 0.2 D
(c) 0.4 D (d) 0.25 D
12. In a 3 km race the speeds of A and B are in the ratio
of 6 : 5 and A wins by 10 seconds. What is the time
taken by B to finish the race. Also, to end the race in
dead heat what percent of total distance A should
give the start up to B?
(a) 1 min, 16.67% (b) 1 min 13.33%
(c) 2 min, 20% (d) 2 min, 14.28%
2
13. A runs 1 3 %times as fast as B. If A gives B a start of
80 m, how far must the winning post from the
starting point be so that A and B might reach it at the
same time?
(a) 200 m (b) 300 m
(c) 270 m (d) 160 m
14. The ratio of speeds of X and Y is 5 : 6. If Y allows X a
start of 70 m in a 1.2 km race, then who will win the
race and by what distance?
(a) X wins the race by 30 m
(b) Y wins the race by 90 m
(c) Y wins the race by 130 m
(d) The race finishes in a dead heat
15. In a 200 m race, if A gives B a head start of 35m,
then A wins the race by 20sec. Alternatively, if A
gives B a head start of 55m, the race ends in a dead
heat. How long does A take to run 200m?
(a) 150sec (b) 165sec
(c) 145sec (d) 155sec
16. In a race of 1000 m, A beats B by 150 m, while in
another race of 3000 m, C beats D by 400 m. Speed
of B is equal to that of D. (Assume that A, B, C and D
runs with uniform speed in all the events). If A and C
participate in a race of 600 m, then which one of the
following is correct?
(a) A beats C by 250 m
(b) C beats A by 250 m
(c) A beats C by 115.38 m
(d) C beats A by 115.38 m
17. In a race A, B and C take part. A beats B by 30 m, B
beats C by 20 m and A beats C by 48 m. Which of the
following is/are correct?
(1) The length of the race is 300 m.
(2) The speed of A, B and C are in the ratio
50 : 45 : 42.
Select the correct answer using the code given below :
(a) 1 only (b) 2 only
(c) Both 1 and 2 (d) Neither 1 nor 2
18. In a race of 1000 m, A beats B by 100 m or 10
seconds. If they start a race of 1000 m
simultaneously from the same point and if B gets
injured after running 50 m less than half the race
length and due to which his speed gets halved, then
by how much time will A beat B?
(a) 65 seconds (b) 60 seconds
(c) 50 seconds (d) 45 seconds
19. In a 300 m race A runs at a speed of 9 km/ hr. He
gives a start of 30 m to B and still defeats him by 15
sec. What is the speed of B?
(a) 6.3 km/hr (b) 8.1 km/hr
(c) 7.2 km/hr (d) 8 km/hr
20. Priya can run 250 m in 15 seconds and Payal in 20
seconds. How many meters start can Priya give to
Payal in one km race so that the race may end in a
dead-heat?
(a) 100 m (b) 250 m
(c) 150 m (d) 50 m
• 21. Having start from the same point and at the same
time, two runners –P and Q are running around a
circular track of length 500m in opposite directions
with the speeds of 6m/s and 10m/s. If they exchange
their speed after meeting for the first time, who will
reach the starting point first?
• Q
• P
• Both will reach at the same time
• No one of the P and Q
CIRCULAR TRACK
1. A 8 m/s; B 5 m/s; Track length 600 m If they start
simultaneously from the same point in the same direction.
(i) After how many seconds they will meet for the first time?
(ii) After how many seconds they will meet for the first time at
starting point?
(iii) At how many points on the track they will meet? Track length
600 m
2. A 5 m/s; B 2 m/s; Track length 420 m If they start
simultaneously from the same point in the opposite direction.
(i) After how many seconds they will meet for the first time?
(ii) After how many seconds they will meet for the first time at
starting point?
(iii) At how many points on the track they will meet?
3. A 9 m/s; B 4 m/s; Track length 4680 m If they start
simultaneously from the same point in the same direction.
(i) After how many seconds they will meet for the first time?
(ii) After how many seconds they will meet for the first time at
starting point?
(iii) At how many points on the track they will meet?
4. A 5 m/s; B 3 m/s; Track length 1200 m If they start
simultaneously from the same point in the opposite direction.
(i) After how many seconds they will meet for the first time?
(ii) After how many seconds they will meet for the first time at
starting point?
(iii) At how many points on the track they will meet?
5. A 5 m/s; B 3 m/s; Track length 1200 m If they
start simultaneously from the same point in the same
direction. At what distance from the starting point
their 79th meeting will take place?
