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

A 60m

B 40m

C 20m

D 10m

Solution

Correct Answer: Option C

To reach the winning post A will have to cover a distance of (500 - 140) m = 360 m.
While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers (4/3) × 360) = 480 m.

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

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