Question

Four bells toll after an interval of 8,9,12,15minutes ,respectively.these bells begin to toll together at 1 p.m
at what time will they next toll together

Answer 1

Answer:

7 PM

Step-by-step explanation:

iven 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 1 p.m

So next toll will be after 6 hours.

Thus 1 p.m + 6 hours

which clearly shows that the bells toll together again at 7 p.m