Math, asked by ishansinha51, 10 months ago

Four bells toll at intervals of 8, 9, 12 and 15 minutes respectively. If they toll
together at 3 p.m., when will they toll together next?

Answers

Answered by sachinlaguri35
20

Answer:

Given that, four bells toll after an interval of 8,9,12,15 minutes ,respectively. These bells begin to toll together at 3.p.m. We have to find the time at which they toll again.

For this, first we have to calculate the L.C.M of given numbers.

Factors of 8 are 2 x 2 x 2

Factors of 9 are 3 x 3

Factors of 12 are 2 x 2 x 3

Factors of 15 are 3 x 5

Common factors are 2 x 2 x 3 x 2 x 3 x 5

Hence, L.C.M = 360

Which shows that the four balls toll together after 360 minutes.

Now we convert these minutes into hours.

We know that,

60 minutes = 1 hour

360 minutes = (1 / 60 ) . 360

= 6 hours

As it is given that the bells begin to toll together at 3 p.m

So next toll will be after 6 hours.

Thus 3 p.m + 6 hours

which clearly shows that the bells toll together again at 9 p.m

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