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Question

A runs `1 2/3` times as  fast as B . If A gives B  a start pf  80 m, how far must the winning post  be so that . A  and  B might reach it at the same time ?


Options:
A .  200 m
B .  300 m
C .  270 m
D .  160 m.
Answer: Option A

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

Thus , in a 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 a race of `(5/2 xx 80)` m =  200 m.

`:.`      Winning post is 200 m away from the starting point



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