three bells ring at intervals of 4, 7 and 14 minutes. all three rang at 6 a. m. when will they ring together again?
Answers
Answered by
248
The intervals of ringing of these 3 bells are 4,7 and 14 minutes.
so, Minimum time after which these all 3 bells will ring = LCM(4,7,14) = 28 min.
so, After 28 minutes , these all 3 bells will ring together.
And, so, these bells will ring together at 6:28 am.
so, Minimum time after which these all 3 bells will ring = LCM(4,7,14) = 28 min.
so, After 28 minutes , these all 3 bells will ring together.
And, so, these bells will ring together at 6:28 am.
Answered by
11
Given:
Three bells ring at intervals of 4, 7 and 14 minutes
All rang together at 6 AM
To find:
When they will ring together
Solutions:
Three bells ring at the intervals of
4 minutes
7 minutes
14 minutes
We will find the least common multiple to find the shortest duration after which they will ring again together.
LCM ( 4,7,14) = 28
The bells will ring together after every 28 minutes.
The last time they rang together: 6 AM
The next time they will ring together
= 6:00 + 0:28
= 6:28 AM
These bells will ring together again at 6.28 AM.
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