Three bells start ringing together at 8:30 p.m. if there after 4 5 and 6 minutes respectively each time the next time they will ring together
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Answer:
Step-by-step explanation:
At 8:45 a.m the three bell will ring together.
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The next time after 8:30 pm when those three bells will ring together is at 9:30 pm.
Given,
Three bells start ringing together at 8:30 p.m.
They rang in the interval of 4,5 and 6 minutes after respectively.
To Find,
The next time when they will ring together.
Solution,
We can solve this mathematical problem in the following method.
As given, the
- The first bell rings in the interval of 4 minutes.
- The second bell rings in the interval of 5 minutes.
- The third bell rings in the interval of 6 minutes.
So when they will ring commonly we need to find that.
So, we need to calculate the LCM of (4,5, and 6).
LCM(4,5,6) = 60.
Therefore the three bells will ring after 60 minutes = 1 hour. This means after 8:30 pm they will ring at (8:30+1=)9:30 pm.
Hence, the next time when those three bells will ring together is at 9:30 pm.
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