in a 500 m race the ratio of speeds two contestants..., Rances & Games of Skill, General Mathematics

Question:In a 500 m race, the ratio of the speeds two contestants A and B is 3 : 4 A has a start of 140 m. Then, A wins by :

A 60 m 
B 40 m 
C 20 m 
D 10 m

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+ AnswerC

+ ExplanationTo reach the winning post A will have to cover a distance of (500 - 140) m, i,e 360 m.

While A covers 3m, B covers 4 m

While A covers 360 m, B covers` ( 4/3 xx 360) m`

                     = 480 m.

Thus when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

:. A wins by 20 m.

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