Question

If a clock is designed such that the hour hand completes four revolutions and a minute hand completes 24 revolutions in a day, what is the minor angle between them after 3 hours 45 minutes if both hands started from 12?

Answer 1

120°is the answer

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Answer 2

Answer:

45°

Step-by-step explanation:

Hour hand completes 4 revolutions in a day, that's 360×4 = 1440° rotation in (24×60) 1440 minutes. 1440/1440 = 1° rotation in one minute.

Minute hand completes 24 revolutions in a day, that's 360×24 = 8640° rotation in 1440 minutes. 8640/1440 = 6° rotation in one minute.

3 hours and 45 minutes = 225 minutes. So hour hand rotated 225° and minute hand rotated 225×6 = 1350°.

1350/360 = 3.75 => 0.75 × 360 = 270°

270 - 225 = 45°

So after starting from twelve, minor angle between them is 45°.