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      Question

      Two friends start running on a circular track of 900

      metres in opposite directions. One runs at 18 m/s and the other at 27 m/s. When will they first be together at the starting point?
      A 120 secs Correct Answer Incorrect Answer
      B 100 secs Correct Answer Incorrect Answer
      C 255 secs Correct Answer Incorrect Answer
      D 133 secs Correct Answer Incorrect Answer

      Solution

      ATQ,

      Time taken by first runner = (900 / 18) = 50 seconds

      Time taken by second runner = (900 / 27) = 33.33 seconds (100/3)

      LCM of (50, 100/3)

      Convert both: 50 = 150/3

      LCM = 300/3 = 100 seconds

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