A factory whistle blows every 30 minutes. The clock tower chimes every 15 minutes. If they both sounded at 1:00 p. M., at what time will you hear them both at the same time again?

Question

Mathematics

Lena Harris

22 June, 10:07

A factory whistle blows every 30 minutes. The clock tower chimes every 15 minutes. If they both sounded at 1:00 p. M., at what time will you hear them both at the same time again?

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Answers (1)

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Adrien · Answer 1

1.30 p. M.

Step-by-step explanation:

The factory whistle blowed at 1:00 p. M, and it blows every 30 minutes, so it will blow again at 1:30 p. M.

The clock tower chimed at 1.00 p. M., and it chimes every 15 minutes, so it will chime again at 1:15 p. M, and after that, it will chime again at 1:30 p. M.

So, you will hear them both at the same time at 1:30 p. M.

We can also solve this problem using LCM:

the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p. M.), so the time they will "find each other" again is 1.30 p. M.