How many times do the hands of a clock coincide (overlap) in a 24-hour day?

Problem restatementCount the number of overlaps of the hour and minute hands in 24 hours.

Concept/ApproachIn 12 hours, the hands coincide 11 times (not 12), due to the hour hand's continuous motion. Therefore, in 24 hours they coincide twice that.

Step-by-Step reasoningCoincidences in 12 hours = 11Hence in 24 hours = 2 × 11 = 22

Common pitfallsAssuming one overlap per hour (would give 24) instead of 11 per 12 hours.