I think 22 times. (times given are approx) 1:05a 2:10a 3:15a 4:20a

5:25a 6:30a 7:35a 8:40a 9:45a 10:50a 12:midnight etc. Both

of the "eleven o'clock" overlaps never occur; they turn

into the "midnight" and "noon" overlaps. The hour hand

is "running away" from the minute hand.