A runs 12/3 times as fast as B. If A gives B a start of

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A runs 1²/₃ times as fast as B. If A gives B a start of 40 m, how far must the winning post be, so that A and B might reach it at the same time ?

1. 75 m
2. 200 m
3. 100 m
4. 125 m

Correct Option: C

Ratio of the speeds of A and B = 5 : 3
Thus, in a race of 5m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
40 m will be gained by A in a race of (5/2) x 40 m = 100 m
∴ Winning post is 100 m away from the starting point.