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Four persons ...

Question

Four persons P, Q, R and S start running around a circular track simultaneously. If they complete one round in 10, 8, 12 and 18 minutes respectively, after how much time will they next meet at the starting point ?

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Solution

The time interval for them to meet at the starting point for the next time = $L C M (10, 8, 12, 18) = 360$ $m i n u t e s$

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