a runs 1 2 3 times as fast b if gives a..., Rances & Games of Skill, General Mathematics

Question:A runs `1 2/3` 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 the same time ?

A 200 m 
B 300 m 
C 270 m 
D 160 m

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+ AnswerA

+ ExplanationRatio of the speeds of A and B` = 5/3 : 1 = 5 : 3.`

Thus in a race of 5m, A gains 2 m over B.

2m are gained by A in a race of 5m.

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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