Question

four Bells toll at intervals of intervals of 8 9 12 and 15 minutes respectively if they toll together next​

Answer 1

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

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