How many times a day a clock's hands overlap?

Answer Posted / eric

The answer is 22. First - midnight expressed in 24 hour format is 0000. Not 12:00. And you can't count midnight twice. A day ends at 23:59:59. So..... in 24 hour format the overlap times are:

0000
0105
0210
0315
0420
0525
0630
0735
0840
0945
1050
1200
1305
1410
1515
1620
1725
1830
1935
2040
2145
2250

That's 22 overlaps.

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