races and games aptitude questions

11.

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: Option B

Explanation:

B runs	45	m in 6 sec.
	2

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

12.

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: Option A

Explanation:

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.

13.

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: Option C

Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C =

100

= 100 : 72.

A beats C by (100 – 72) m = 28 m.