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    A, B and C can run around a circular path once in 252 seconds, 308 seconds and 198 seconds respectively. If they start running from a point simultaneo
    Question

    A, B and C can run around a circular path once in 252 seconds, 308 seconds and 198 seconds respectively. If they start running from a point simultaneously, after what time will they meet again at the starting point?

    A.

    42 minutes 50 seconds

    B.

    45 minutes

    C.

    26 minutes 30 seconds

    D.

    46 minutes 12 seconds

    Correct option is D

    Given:

    Time taken to complete round by A = 252 second

    Time taken to complete round by B = 308 second

    Time taken to complete round by C = 198 second

    Calculation:

    LCM of 252, 308 and 198

    252 = 2×2×3×3×7

    308 = 2×2×7×11

    198 = 2×3×3×11

    LCM = 2×2×3×3×7×11= 2772

    2772 minutes = 46 minutes 12 seconds

    Therefore, they meet again after 46 minutes 12 seconds letter.

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