A runs times as fast as B If A gives B a start of 80m how far must the winning post be so that ...........

Quantitative Aptitude (CDS) Time & distance

A runs $1\frac{2}{3}$ times as fast as B.If A gives B a start of 80m,how far must the winning post be so that A and B might reach it at the same time?

200 m

270 m

300 m

160 m

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Explanation:

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

Thus, in race of 5m, A gains 2m over B2m are gained by A in a race of 5m 80m will be gained by A in a race of (5/2×80)m=200m
∴ Winning post is 200m away from the starting point