a runs 1 3 4 times as fast b if gives, Rances & Games of Skill, General Mathematics

Question:A runs` 1 3/4` times as fast as B. If A gives B a start of 84 m,how far must the winning post be so that A and B might reach it at the same time ?

Answer The ratio of the rates of A and B` = 7/4 : 1 = 7 : 4.`

So, in a race of 7 m, A gains 3 m over B.

:. 3m are gained by A in a race of 7m.

:. 84 m are gained by A in a race of` (7/3 xx 84)` m = 196 m.

:. Winning post must be 196 m away from the starting point.

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A runs` 1 3/4` times as fast as B. If A gives B a start of 84 m,how far must the winning post be so that A and B might reach it at the same time ?

Question:A runs` 1 3/4` times as fast as B. If A gives B a start of 84 m,how far must the winning post be so that A and B might reach it at the same time ?

Answer The ratio of the rates of A and B` = 7/4 : 1 = 7 : 4.` So, in a race of 7 m, A gains 3 m over B. :. 3m are gained by A in a race of 7m. :. 84 m are gained by A in a race of` (7/3 xx 84)` m = 196 m. :. Winning post must be 196 m away from the starting point.