In a 24-hour period, how many times do the hour and minute hands coincide on a standard clock?

Question: In a 24-hour period, how many times do the hour and minute hands coincide on a standard clock?

Solution:
Our clock generally has 12 hours. Every 12 hours, the hour hand and the minute hand meet 11 times.

This is because at 11:55, the minute hand can never be exactly on the hour hand; when it catches up with it, it is already 12 o'clock.

Therefore, in 12 hours, when they meet 11 times, in 24 hours (11 × 2) they will meet 22 times.