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Races and Games

Q1:

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

ANS:A - 200 m

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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