Clock Puzzle - Solution

The Puzzle:

Clock

At midday the hour and minute hands of a clock sit on top of each other perfectly.

In a little over one hour they will again be on top of each other.

What is the exact time that happens?

Our Solution:

In a 12 hour period the hands are on top of each other 11 times.

And 1/11th of 12 hours is 1.0909... hours, which is 1 hour, 5 minutes and 27.27... seconds.

Which is 1:05:27 (to nearest second)

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