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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?
  1. 18 min
  2. 24 min
  3. 48 min
  4. 36 min


Solution

The correct option is B 24 min
For 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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