a bell tolls every 10 minutes. another bell tolls every 15 minutes. both bells toll at 6:00pm. they will toll together at what time

Mathematics · High School · Tue Nov 03 2020

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Given:

A bell tolls every 10 minutes.

Another bell tolls ever 15 minutes

Both bell toll at 6:00 pm

Determine what time will the two bells toll again.

Solution:

In order to determine what time the two bells will toll again, we must first determine during when the two bells toll or at what point. In order to do so, since we are given two values, we will need to determine their common multiple.

Multiples of 10

10, 20, 30, 40, 50 …

Multiples of 15

15, 30, 45, 60, 75 …

The common multiple is 30, which means that both bells toll at every 30 minutes. 

Since the both bell tolled at 6:00 pm, they will toll together again at 6:30 pm.

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