Asked in
Geometry

How many times does the minute hand of a clock overlap with the hour hand from 10am to 12am?

Answer

Wiki User

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.

10:54am
12:00pm (noon)
1:06pm
2:11pm
3:16pm
4:21pm
5:27pm
6:32pm
7:38pm
8:43pm
9:49pm
10:54pm
12:00am (midnight).

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