Time, Clock & Calendar
Expert
2 min
How many times do the hour and minute hands of a standard 12-hour clock overlap in 12 hours?
Hint
The hands meet once approximately every 65 5/11 minutes.
Answer
11 times.
Explanation
The minute hand gains on the hour hand and they coincide 11 times during a 12-hour period.
Step-by-Step Solution
Relative speed = 5.5 degrees per minute.
One full relative revolution requires 360/5.5 minutes.
During 12 hours there are 11 coincidences.
One full relative revolution requires 360/5.5 minutes.
During 12 hours there are 11 coincidences.