A clock is wound and set running at 12 o’clock noon. What angle will its hour hand have swept through when the clock shows 7:24 in the evening?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 222°
The hour hand turns 30° in an hour, so in one minute it turns \(\displaystyle \frac{30^\circ}{60}=0.5^\circ\).
Time from 12 noon to 7:24 p.m. \(=7\) hours 24 minutes \(=7\times60+24=444\) minutes
Turn of the hour hand \(=444\times0.5^\circ=222^\circ\)
