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Prateek Asked :

13-01-2022 Races and Games

Q. In a 500 m race, the ratio of the speeds of 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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Dapzoi Verified
Commented on 2022-01-15 10:52:34 (IST)
Answer: Option C



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

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers (4/3 x 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.