26.
In a 500 m race, the ratio of speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then A wins by
• A.
60 m
• C.
20 m
• B.
40 m
• D.
10 m
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Explanation :

To reach the wining post A will have to cover a distance of (500 – 140),

i.e. 360 m

While A covers 3 m, B covers 4 m

While A covers 360 m, B covers
 4 3
x 360 = 480 m

So, A reaches the wining post while B remains 20 m behind.

A wins by 20 m.

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27.
A's speed is 1
 1 2
times of B’s. In a race A gives B a start of 300m. How long should
the race course be so that both reach the winning post simultaneously?
• A.
700 m
• C.
800 m
• B.
900 m
• D.
850 m
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Explanation :

A's speed : B's speed = 1
 1 2
: 1 =
 3 2
: 1 = 3 : 2

It means that in a race of 3 m, A gains (3 – 2) = 1 m over B

1 m is gained by A in a race of 3 m

300 m is gained by A in a race of  =
 3 1
x 300 = 900 m.

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28.
A can run 330 metres in 41 seconds and B in 44 seconds. By how many seconds will B win if he has 30 metres start?
• A.
2 sec.
• C.
3 sec.
• B.
1 sec.
• D.
15 sec.
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Explanation :

B runs 330 metres in 44 seconds.

B runs (330 - 30) metres in
 44 330
x 300 secs.

i.e., 40 secs.

But A runs 330 metres in 41 seconds

So, B wins by (41 – 40) seconds, i.e., 1 second

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29.
In one km race A beats B by 5 seconds or 40 metres. How long does B take to run the kilometers?
• A.
125 sec
• C.
130 sec
• B.
120 sec
• D.
None of these
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Explanation :

Time taken by A to complete the course =
 5 40
(1000 - 40) = 120 seconds

Time taken by B to run the km = (120 + 5) = 125 seconds

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30.
In a 100 metres race A can give B 10 metres and C 28 metres. In the same race, B can give C
• A.
18 metres
• C.
27 metres
• B.
20 metres
• D.
9 metres
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Explanation :

A : B : C = 100 : 90 : 72

B : C =
 90 72
=
90 x
 100 90

72 x
 100 90

=
 100 80
= (100 : 80)

So, B can give C 20 metres.

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