Question

There are five bells in a church which will toll at different intervals of time 12 seconds, 15 seconds, 20 seconds, 32 seconds and 16 seconds respectively. if all these toll together at 12 noon, how many times will they toll together till 1 pm?

Answer 1

lcm of 12,15,20,32,16 is 480 sec or 8 min
so. till 1pm 8×7=56min so 7 times they toll together

Answer 2

Answer:

total number of times the bells will toll together after 12 noon = 7 times

the bells will toll together at 12:08, 12:16, 12:24, 12:32, 12:40, 12:48, 12:56

Step-by-step explanation:

given, the five bells toll at intervals of  12 seconds, 15 seconds, 20 seconds, 32 seconds and 16 seconds respectively

and, all those toll together at 12 pm

to find: number of times they will toll together till 1 pm

LCM of 12, 15, 20, 32, 16 = 480

so, the bells will toll together every 480 seconds

that is, all the bells will toll together every 8 minute

number of times these bell will toll together in one hour i,e from 12pm-1pm = $\frac{60}{8}$ =  7 times

total number of times the bells will toll together after 12 noon = 7 times

the bells will toll together at 12:08, 12:16, 12:24, 12:32, 12:40, 12:48, 12:56