Races And Games

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

A:

21 m

B:

26 m

C:

28 m

D:

29 m

Answer: C

A : B = 100 : 75

B : C = 100 : 96.

A : C =

A

x

B

=

100

x

100

=

100

= 100 : 72.

B

C

75

96

72

A beats C by (100 - 72) m = 28 m.

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A runs 1

times as fast as B. If A gives B a start of 80 m, how far must the winning post 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

Answer: A

Ratio of the speeds of A and B =	5	: 1 = 5 : 3.
	3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of		5	x 80	m	= 200 m.
		2

Winning post is 200 m away from the starting point.

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In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

A:

86 sec

B:

80 sec

C:

76 sec

D:

None of these

Answer: B

B runs	45	m in 6 sec.
	2

B covers 300 m in		6 x	2	x 300	sec	= 80 sec.
			45

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A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

A:

100 m

B:

111	1	m
	9

C:

25 m

D:

50 m

Answer: A

When B runs 25 m, A runs	45	m.
	2

When B runs 1000 m, A runs		45	x	1	x 1000	m	= 900 m.
		2		25

B beats A by 100 m.

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In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A:

40 sec

B:

47 sec

C:

33 sec

D:

None of these

Answer: C

B runs 35 m in 7 sec.

B covers 200 m in		7	x 200		= 40 sec.
		35

B's time over the course = 40 sec.

A's time over the course (40 - 7) sec = 33 sec.

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Questions for: Races And Games