How many times per day do the hour and minute hands of a clock form a right angle?

arithmetic/clock/right.angle

Problem

How many times per day do the hour and minute hands of a clock form a
right angle?

Show solution

44.  Twice each hour equals 48, less one between 2:00 and 4:00 and one between
8:00 and 10:00 for both A.M. and P.M.