In 12 hours, they are at right angles 22 times. In 24 hours, they are at right angles 44 times.
Angular speed of hour hand is 0.5°/minute.
Angular speed of minute hand is 6°/ minute.
Relative to hour hand , the angular speed of minute hand is 5.5° per minute.
The hour hand stops rotating , minute hand moves slower than before)
At 12 O clock, the angle is zero.
90/ 5.5 gives 16.3636363636 minutes
There are 1440 minutes in 24 hour .
1440/ 16.36 is 88 ( rounded)
This is for the 4 quadrants .
But we have to consider only 2 quadrants.
Therefore the answer is
88/ 2 = 44
