Fewpal
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1 Answer

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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

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