How many times are the hands at right angles between the Sunday-morning time on clock A and the Sunday-evening time on clock B?

A shows 6:00 a.m. and B shows 6:00 p.m., exactly 12 hours. The hands are at right angles 22 times in every 12 hours (twice an hour, except that 2:00–4:00 and 8:00–10:00 share 3:00 and 9:00). Neither 6:00 is a right angle, so the answer is 22. (44 is for a whole day.)