 In a kilometer
race, A can give B a start of 100 m or 15 seconds. How long does A take to
complete the race?
(1)
135 sec (2) 110
sec
(3)
100 sec (4)
150 sec
 A takes 4
minutes and 30 seconds to run a kilometer race. B takes 5 minutes to
complete the same 1 km track. If A and B were to participate in a race of
5 kms, how much start can A give B in terms of distance?
(1)
100 metres (2) 111.11
metres
(3)
500 metres (4) 555.55
metres
 A runs 7/6^{th}
as fast as B and gives him a start of 25 metres in a race. How long is the
race in terms of distance so that A and B finish in a dead heat?
(1)
150 metres (2) 125
metres
(3)
175 metres (4) None of
these
 A can give B a
start of 15 m in a 100m race. B can give C a start of 10m in a 100m race.
How much start can A give C in a 100m race?
(1)
33.5 metre (2) 25
metres
(3)
23.5 metres (4) 28.5
metres
 A gives B a
start of 50m in a 1000m race. A can give C a start of 75m in a 500m race.
How much start can B give C in a km race?
(1)
26.31 metres (2) 76.52
metres
(3)
105.25 metres (4) None of
these
 In a 200m race,
A runs at the speed of 8 m/sec. He gives B a start of 20m and still beats
him by 5 seconds. What is the speed of B?
(1)
6.66 m/sec (2) 6
m/sec
(3)
9 m/sec (4) 7.2
m/sec
 A can give B a
start of 20m in a 200m race and C a start of 50m in the same race. If B
can give C a start of 10/3 secs in the race, how long does C take to
complete 200m?
(1)
10 seconds (2) 18 seconds
(3)
16.66 seconds (4) 20 seconds
 In a km race, A
gives B a start of 40 seconds and beats him by 50m. However, when he gives
B a start of 50 seconds they finish the race in a dead heat. What is A’s
speed in m/sec?
(1)
6.67 m/sec (2) 5
m/sec
(3)
3.33 m/sec (4) 6.25
m/sec
 A can run a
1200m race in 60 second, while B takes 75 seconds to complete it. If B has
a 240m start in the race, by how many seconds will B win the race?
(1)
10 seconds (2) 6
seconds
(3)
15 seconds (4) None of
these
 A and B start simultaneously
from the same point along a circular track of length 1 km in the same
direction at 6 m/sec and 10 m/sec speed. When will they meet for the first
time?
(1)
250 seconds (2) 200
seconds
(3)
500 seconds (4) 1000
seconds
 A and B start on
a circular track of length 500m simultaneously from the same point in
opposite directions running at 6m/sec and 4 m/sec speeds respectively. How
many times would they have met before they meet for the first time at the
starting point again?
(1)
5 times (2) 10
times
(3)
4 times (4)
None of these
 A can run half a
kilometer in 2 minutes and 30 seconds. B can run the same distance in 3
minutes. How much start, measured in terms of distance, can A give B in a
kilometer race?
(1)
133.33 metres
(2)
166.66 metres
(3)
100 metres
(4)
83.33 metres
 P and Q run a
kilometer and P wins by 60 seconds. P and R run a kilometer and P wins by
360 metres. Q and R run a kilometer and Q wins by 30 seconds. Find the
time taken by P to run a kilometer.
(1)
250 seconds (2) 333.33
sec
(3)
160 seconds (4) 190
seconds
 A takes 3
minutes 40 second while B takes 4 minutes to complete a race. A beats B by
60 metres in the race if both start simultaneously from the starting
point. Find the length of the course.
(1)
120 metres (2) 660
metres
(3)
720 metres (4) 900
metres
 A can run 100
metres in 18 seconds, and B takes 20 seconds to complete the same 100
metres. How much start, in terms of distance, can A give B in a 100m race?
(1)
10 metres (2) 11.11
metres
(3)
9.09 metres (4) None of
these
 In a kilometer
race, B gives a start of 240 metres. If the ratio of the speeds of A and B
is 7:10, who wins the race and by what distance?
(1)
A, 60 metres (2) A; 40
metres
(3)
B; 60 metres (4) B; 40
metres
 A takes 30
seconds lesser to run a kilometer than does. If B gets a start of 100
metres in the race he loses the race by 100 metres. How long will B take
to complete the course?
(1)
120 seconds (2) 200
seconds
(3)
150 seconds (4) 250
seconds
 A runs at the
rate of 12 km/hr. He gives B a start of 160 m in a kilometer race and
still beats him by a minute. What is the speed at which B is running?
(1)
140 m/min (2) 125
m/min
(3)
160 m/min (4) 210
m/min
 A and B ran 500
metres in 40 seconds and 50 seconds respectively. How far from the
finishing line will B be when A complete the race, if both of them start
simultaneously from the starting point?
(1)
125 metres (2) 100
metres
(3)
75 metres (4) 125
metres
 X can run 1000
metres in 80 seconds, while Y takes 100 seconds to run the same race. If Y
has a start of 60 metres, by how many metres will he lose the race?
(1)
260 metres (2) 140
metres
(3)
190 metres (4) 310
metres
 A and B run
around a circular track of length 700 metres starting from the same point
simultaneously in opposite directions. If the speed of A is 8 m/sec and
that of B is 6 m/sec, when will they meet at the starting point again?
(1)
50 sec (2)
140 sec
(3)
350 sec (4)
None of these
22
 A and B run
around a circular track 98 meters starting from the same point
simultaneously and in the opposite direction. If A runs at the speed of 23
m/min and B runs at the speed of 31 m/min, when will they meet again for
the first time?
(1)
55 sec (2) 77
sec
(3)
108 sec (4) 42
sec
23
 A and B run around
a circular track of length 750 metres at speeds of 12 m/sec and 15 m/sec,
starting from the same point in the same direction. If B gives A a start
of 15 seconds, when will they meet for the first time?
(1)
250 seconds (2) 238 sec.
(3)
60 seconds (4) 12
seconds
24
 A takes 10
seconds lesser to run a 400 metre race than B does. If B gets a start of
40 metres in the race, he loses the race by 40 metres. How long will A
take to complete the course?
(1)
80 seconds (2) 50
seconds
(3)
20 seconds (4) 40 seconds
25
 A runs at the
rate of 6 km/hr. He gives B a start of 100 m in a kilometer race and still
beats him by two minutes. What is the relative speed between A and B?
(1)
40 m/min (2) 25
m/min
(3)
50 m/min (4) 33.33
m/min
26
 A and B run
around a circular track of length 3000 metres at speeds of 18 m/sec and 38
m/sec, starting from the same point in the same direction. If B gives A a
start of 10 seconds, when will they meet for the first time?
(1)
150 seconds (2) 4.73
seconds
(3)
9 seconds (4) 154.7
seconds
27
 A and B start on
a circular track of length 750m simultaneously from the same point
inopposite direction running at 7m/sec and 3 m/sec speeds respectively.
When they meet for the first time at what point with respect to the
starting point will they meet when measured in the direction in which A
runs?
(1)
475 metres (2) 525
metres
(3)
225 metres (4) 375
metres
28
 A runs twice as
fast as B. If A gives B a start of 275 metres in a race, how far must be
the winning post, so that they finish the race in a dead heat?
(1)
825 metres (2) 550
metres
(3)
1100 metres (4) 275
metres
29
 In a 500m race,
A runs at the speed of 10 m/sec. He gives B a start of 25m and still beats
him by 28/9 seconds. What is the speed of B?
(1)
25/3 m/sec (2) 9 m/sec
(3)
100/9 m/sec (4) 9.5
m/sec
30
 A gives B a
start of 50m in a 500m race and C a start of 100m in the same race. If B
can give C a start of 5.55 sec in the race, how long does B take to
complete 500m?
(1)
50 seconds (2) 44.44
seconds
(3)
45.45 seconds (4) None of
these
31
 A can run a 600m
race in 30 seconds, while B takes 40 seconds to complete it. After giving
B a 100m start in the race, by how many seconds will A win the race?
(1)
5 seconds (2) 3.33
seconds
(3)
1.66 seconds (4) 2.5
seconds
ANSWER KEY
1.
1
2.
3
3.
3
4.
3
5.
3
6.
2
7.
4
8.
1
9.
4
10. 1

11. 3
12. 2
13. 3
14. 3
15. 1
16. 3
17. 3
18. 1
19. 2
20. 2

21. 3
22. 3
23. 3
24. 4
25. 2
26. 3
27. 2
28. 2
29. 2
30. 2

31. 2
