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 = 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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