Exams › IBPS PO › Quantitative Aptitude

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:

1. 60 m
2. 40 m
3. 20 m
4. 10 m

Correct answer: 20 m

Solution

Since the speed ratio A:B = 3:4, in the same time A covers 500 m, B covers \(500\times \frac{4}{3}=666\frac{2}{3}\) m. A has a 140 m start, so A actually runs only 360 m while B runs 500 m. In the time A covers 360 m, B covers \(360\times \frac{4}{3}=480\) m, so A wins by 20 m.

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