Question

# An athlete runs to and fro between points A and B at a speed of 10 km/h. A second athlete simultaneously runs from point B to A and back at a speed of 15 km/h. If they cross each other 12 min after the start, after how much time will they cross each other again?

A
18 min
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B
24 min
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C
36 min
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D
48 min
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Solution

## The correct option is B 24 minFor first meeting, Distance to be covered = D, time taken = 12 min For second meeting, Distance to be covered (After first meeting, till second meeting) = 2D ∴ Time required to cross again = 2×12=24 min. Alternate Approach: Both the athlete are crossing each other after 12 min, which means that the distance between them is 5 km (Relative speed = 25km/h and time taken for first meet = 12 min = 1/5 hours). Now they have to cover 10 km after the first meet for meeting second time. Time required = (10 km)/ (25km/h) = 2/5 hours = 24 min.

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