Question

three bells ring at intervals of 10,12and 15 minutes.if they rang together at 8:30a.m., when will they ring together again?
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Answer 1

Given :

Three bells ring at intervals of 12, 15 and 18 seconds respectively.

Taking the LCM of 12, 15 and 18 :-

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180

15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180

18 = 18, 36, 54, 72, 90, 108, 126, 144, 162, 180

180 is common in 12, 15 and 18. Therefore, LCM of 12, 15 and 18 is 180.

Given : They started ringing together at 8:35 a.m.

Second time they ringing together = 8:35 + 180 seconds = 8:35 + 3 minutes = 8.38 a.m.

Hence,

Second time they ringing together at 8:38 a.m.

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Answer 2

Step-by-step explanation:

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