Question 246069
It's a little counter-intuitive, but the answer is 21.


I looked at it from a real clock and wound it around manually.


Here's what I think is happening.


It crosses the hour hand roughly at the following times:


<pre>
crossing  crossing time
1            1:06
2            2:11
3            3:17
4            4:22
5            5:27
6            6:33
7            7:38
8            8:43
9            9:49
10           10:54
11           12:00
12           1:06
13           2:11
14           3:17
15           4:22
16           5:27
17           6:33
18           7:38
19           8:43
20           9:49
21           10:54
</pre>


That's 21 crossings.