Q) Three bells ring at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together?

Ans:

STEP-BY-STEP SOLUTION

The three bells will ring together again when the time gap is perfect multiple of each bell’s interval

Therefore, we will take LCM of three time intervals

LCM of 9, 12, 15 = 5 x 2 x 2 x 3 x 3 = 180 minutes

Therefore, three bells will ring together after 180 minutes or 3 hours.

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