Question

four bells toll at interval of 8,9,12 and 15 minutes respectively. if they toll together at 3 p.m when will they toll together next​

Answer 1

Step-by-step explanation:

we should first find LCM of these no.s

LCM of 8,9,12,15 is 360

They will ring together after 360 min

6hrs

at 9p.m

Answer 2

Question:

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

Answer:

• 9 P.m.

Solution:

$\begin{array}{r | I} 2 & 8,9,12,15 \\ \cline{2-2} 2 & 4,9,6,15 \\ \cline{2-2} 2 &2,9,3,15 \\ \cline{2-2} 3 &1,9,3,15 \\ \cline{2-2}&1,3,1,5 \end{array}$

LCM = 2×2×2×3 = 360 Minutes.

Now, 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 bell toll after 6 Hours.

Thus, 3 P.m. + 6 hours = 9 P.m.