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15 votes
15 votes
Three bells toll together at the same time after the first bell stays quiet for 12 seconds, the

second bell for 15 seconds and the third bell for 18 seconds. During a duration of 30 minutes,
how many times will the three bells toll together?

User SubSevn
by
3.1k points

1 Answer

20 votes
20 votes

Answer:

10 times

Explanation:

Here, we want to get the number of times the three bells toll together

Now, what we have to do here is to find the number of seconds it will take them to fill together

To find this, we need to get the lowest common multiple of 12, 15 and 18

The lowest common multiple of these three numbers is ;

180

180 seconds

Now, since 60 seconds is 1 minute

The number of minutes in 180 seconds is 180/60 = 3 minutes

So, as we can see, they can sound together once in 3 minutes;

The number of times they will sound together in 30 minutes is 30/3 = 10 times

User Leiaz
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3.0k points