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Question

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:

Options:
A .  60 m
B .  40 m
C .  20 m
D .  10 m
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 \(\left(\frac{3}{4}\times360\right)m =480m.\)


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


So,  A wins by 20 m.


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