Question

Three bells ring at intervals of 30, 45 and 60 minutes
respectively. If they begin ringing together at 5 p.m.,
then they will ring together again at _____​

Answer 1

Answer:

8:00 PM

Step-by-step explanation:

LCM of 30, 45, and 60 is 180.

So after 180 minutes i.e. at 8:00 PM they will ring together.

To see again when they will ring together, just add 180 minutes to 11:00 AM. i.e. at 11:00 PM

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Answer 2

Answer:

They ring together after an interval of 3 hours; and they ring next at 8 p.m.

Step-by-step explanation:

LCM of 30, 45, 60

= 2 × 2 × 3 × 3 × 5

= 180

Therefore the bells ring together after an interval of 180 minutes or 3 hours.

They will ring together at following times:

5 + 3 = 8 p. m.

8 + 3 = 11 p. m.

11 + 3 = 2 a. m.

And so on.

Hope this helps!