Circular Track Lap Crossing

XAT 2021 · QADI · Medium · Arithmetic

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Four friends, Ashish, Brian, Chaitra, and Dorothy, decide to jog for 30 minutes inside a stadium with a circular running track that is 200 metres long. The friends run at different speeds. Ashish completes a lap exactly every 60 seconds. Likewise, Brian, Chaitra and Dorothy complete a lap exactly every 1 minute 30 seconds, 40 seconds and 1 minute 20 seconds respectively. The friends begin together at the start line exactly at 4 p.m. What is the total of the numbers of laps the friends would have completed when they next cross the start line together?

  1. A.

    43

  2. B.

    36

  3. C.

    They will never be at the start line together again before 4:30 p.m.

  4. D.

    47

  5. E.

    28

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