Question

Three bells toll together at regular intervals of 15 minutes , 16 minutes and 36 minutes respectively. Given that they toll together at 2:00 pm . , at what time will they next toll together ? Step by step wrong answers would be reported​

Answer 1

Answer:

They will next toll together at 8:00 pm

Step-by-step explanation:

To find after how many minutes they will toll together next, we have to find the least common multiple of their frequencies.

The frequencies are of: 15 minutes, 16 minutes and 36 minutes.

Finding the least common multiple, by factoring all of the numbers by prime factors:

15 - 16 - 32|2

15 - 8 - 16|2

15 - 4 - 8|2

15 - 2 - 4|2

15 - 1 - 2|2

15 - 1 - 1|3

5 - 1 - 1|5

1 - 1 - 1

The last common multiple between 15, 16 and 36 is of: $2^5*15 = 32*15 = 480$

480 minutes is 480/60 = 6 hours, so they will next toll together 6 hours from 2:00 pm, that is, at 8:00 pm.