Question

three bells ring at interval of 8/80, 4/15, and 2/5 hours respectively all the three bells rings together at 12 O'clock after how much time in minutes they will ring together again

Answer 1

Answer:

Solutions :-

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.

Step-by-step explanation:

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