An accurate clock shows the time as 9:00. After the hour hand has moved to 140°, the time would be
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 1:40
The hour hand goes round the dial, 360°, in 12 hours, so it turns 30° every hour, that is, \(\frac{1}{2}\)° every minute. The angle it has turned through therefore gives the time that has passed.
Time for 140°: \(\displaystyle\frac{140}{30}=4\frac{2}{3}\) hours, which is 4 hours 40 minutes
9:00 + 4 hours 40 minutes = 13:40, which the clock shows as 1:40
