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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Time and Distance

Ravi and Mohan start together from the same point of a 400 m circular track and run in opposite directions at 5 m/s and 3 m/s respectively. After how many seconds will they meet for the first time?

They meet for the first time after 50 seconds. Running in opposite directions on a circular track, their combined speed is 5 + 3 = 8 m/s, and they meet once together they have covered one lap of 400 m. Dividing 400 by 8 gives 50 seconds.

  1. A80 seconds
  2. B100 seconds
  3. C50 secondsCorrect
  4. D200 seconds

Explanation

Running in opposite directions, they close the gap at 5 + 3 = 8 m/s. They first meet when together they cover one full lap of 400 m: 400 ÷ 8 = 50 seconds. Using the difference of speeds (2 m/s) would give 200 s, which applies only when they run in the same direction.

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