Anonymous

A Family Is Moving And Has A Number Of Electronic Devices In The Same Packing Crate. One Device Beeps Every 8 Minutes Another Beeps Every 10 Minutes, And The Third Device Beeps Every 12 Minutes.?

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Oddman Profile
Oddman answered
8 = 23
10 = 2*5
12 = 22*3

LCM = 23*3*5 = 120

They will next beep together at 5 pm.
Kirk Stein Profile
Kirk Stein answered
10 AM
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Oddman
Oddman commented
The devices with period 10 minutes and 12 minutes will beep together on the hour every hour. The device with the 8 minute period will beep 4 minutes before and after the hour on the even hours.
Mel Brandle Profile
Mel Brandle answered

What an annoying family if they do exist in real life. Fancy carrying so many beepers together in a single storage crate. I wouldn't even wish to know when they will all beep together but instead, I would ask them to turn the beepers off and keep everyone's mind at peace.

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