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Crossing Hour and Minute Hands

Solution Step 0/0
How many times each day do the minute and hour hands of a clock cross?

Explanations

22 times.

The two hands cross each other every 1 hour 5 minutes and 27 seconds. If the two hands would cross exactly every hour, then there would be 12 crossings in 12 hours. But they cross 5 minutes and 27 seconds “slower”. Thus, there are 11 crossings per 12 hours, starting with a midnight and counting their overlap as the 1st crossing of a day.

The next 12 hours start with the noon’s overlap, launching the second series of 11 crossings in the remaining half of the 24-cycle.
Check 20 times
Check 21 times
Check 22 times
Check 23 times

Puzzle Crossing Hour and Minute Hands

Puzzle Crossing Hour and Minute Hands