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    In a circular race of 400 m in length, A and B start at speeds of 10 m/s and 16 m/s, respectively, at the same time from the same point. After how muc
    Question

    In a circular race of 400 m in length, A and B start at speeds of 10 m/s and 16 m/s, respectively, at the same time from the same point. After how much time will they meet for the first time at the starting point when running in the same direction?

    A.

    180 s

    B.

    200 s

    C.

    240 s

    D.

    220 s

    Correct option is B

    Given:
    A and B start running on a circular track (length 400 m) from the same point simultaneously with speeds of 10 m/s and 16 m/s
    Formula used:
    Time = Time=distancespeed\text{Time} = \frac{\text{distance}}{\text{speed}}​​
    Solution:
    A takes time to complete one round = 40010=40sec\frac{400}{10} = 40 sec

    B takes time to complete one round = 40016=25sec\frac{400}{16} = 25 sec​​
    Both will meet at the starting point = LCM of 40, 25
    Required time = LCM = 5 × 5 × 8 = 200 secs

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