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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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