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:
Answer: Option C
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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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