Four bells ring at the intervals of 6min, 8min, 4min and 3min respectively. If they have started altogether at 7am, at what time once again they will ring altogether for the first time?7.24am8.00am7.48am8.12am
Question
Four bells ring at the intervals of 6min, 8min, 4min and 3min respectively. If they have started altogether at 7am, at what time once again they will ring altogether for the first time?7.24am8.00am7.48am8.12am
Solution
To solve this problem, we need to find the least common multiple (LCM) of the four time intervals (6 minutes, 8 minutes, 4 minutes, and 3 minutes). The LCM of these numbers is the smallest number that is a multiple of all of them.
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First, let's find the LCM of 6, 8, 4, and 3. The LCM of these numbers is 24.
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This means that the bells will all ring together again 24 minutes after they first started ringing.
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If the bells started ringing at 7:00 am, then they will all ring together again at 7:24 am.
So, the answer is 7.24am.
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