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There are two bells in the school. Bell A rings every 6 minutes. Bell B rings every 8 minutes. If both bells ring together at 5.05 p.m., when will they ring together again?

Question

There are two bells in the school. Bell A rings every 6 minutes. Bell B rings every 8 minutes. If both bells ring together at 5.05 p.m., when will they ring together again?

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Solution

To find out when the two bells will ring together again, we need to find the least common multiple (LCM) of the two time intervals (6 minutes and 8 minutes).

Step 1: List the multiples of each number Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96...

Step 2: Find the least common multiple The least common multiple of 6 and 8 is 24.

This means that the two bells will ring together every 24 minutes.

Step 3: Add this interval to the initial time If the bells first rang together at 5:05 p.m., adding 24 minutes to this time gives us 5:29 p.m.

So, the two bells will ring together again at 5:29 p.m.

This problem has been solved

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