Asked in Geometry
How many times does the minute hand of a clock overlap with the hour hand from 10am to 12am?
June 16, 2012 2:47PM
23 times in all.
Note that from 11:00 to 11:59 (am or pm) the hands can never overlap. Thus from 10am to 11:59am, the hands will overlap just once at around 10:54am. The hands will overlap again at exactly 12:00pm (noon). And from 12:01pm to 12:am (midnight) the hands will overlap another 11 times.
The following times are the approximate overlapping times.
- 12:00pm (noon)
- 12:00am (midnight).