perplexus.info :: Just Math : Three clocks

Three clocks (Posted on 2022-07-10)

A home has 3 clocks: Clock A keeps perfect time, clock B loses a minute every 24 hours and clock C gains a minute every 24 hours.

On Jan 1 2022, (midnight of Dec 31 2021) all three show the correct time.

Assuming they were to continue at the same speed, when will all of them again show the correct time at the same moment?

No Solution Yet Submitted by Ady TZIDON

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Not so fast (correction and solution)

| Comment 2 of 6 |

After 360 days, Clock B has lost 6 hours and clock C has gained 6 hours. They do not agree with Clock A.

All three will not show the same time until 720 days have passed, assuming that the clocks are analog and do not show am or pm.

If the clocks are digital, and show am and pm, then it will be 1440 days until they all agree.

Posted by Steve Herman on 2022-07-10 07:51:12

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