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    Question

    X, Y, and Z start running on a circular track

    simultaneously and in the same direction at speeds of 8 km/h, 10 km/h, and 12 km/h respectively. The length of the track is 600 meters. When will X, Y, and Z meet at the starting point for the first time after they start the race?
    A 12 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 17 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer

    Solution

    Time = Distance/Speed Time for A = 0.6/8 hours Time for B = 0.6/10 hours Time for C = 0.6/12 hours LCM of A, B, C = (LCM of numerator)/ (HCF of Denominator) = (LCM of 0.6,0.6,0.6)/ (HCF of 6,10,12) = 0.6/2 hours =0.3 hour =18 min.

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