Question 67

A temple has five bells which ring at the intervals of 12, 15, 16, 20, and 25 minutes respectively. If they ring together at midnight, then at what time next will they ring together?

Solution

LCM of 12, 15, 16, 20, and 25

LCM = $$2\times2\times2\times2\times3\times5\times5$$ = 1200

60 minutes = 1 hour

1 minutes = $$\frac{1}{60}$$ hour

1200 minutes = $$\frac{1}{60}\times1200$$ hours = 20 hour

So after 20 hours, all the five bells will be ring together.

If they ring together at midnight(12 AM), then after 20 hours at 8 PM these will be rung together.

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