Tthe hour hand of a clock is at 10 and the minute hand makes an angle of 60∘ with the hour hand. If the minute hand is ahead of the hour hand, then what is the time?
10:00
The angle between any two consecutive numbers on the clock is 36012=30∘.
We are given that the hour hand is at 10 and that it makes an angle of 60∘ with the minute hand.
Also, the minute hand is ahead of the hour hand.
2×30∘=60∘
∴ The minute hand of the clock is at (10+2=)12.
∴ The time is 10:00.