The hour hand of a clock is at 9 and the minute hand makes an angle of 90∘ with the hour hand. If the minute hand is ahead of the hour hand, what time is it now?
9:00
The angle between any two consecutive numbers on the clock is 36012=30∘.
We are given that the hour hand is at 9 and that it makes an angle of 90∘ with the minute hand.
Also, the minute hand is ahead of the hour hand.
3×30∘=90∘
∴ The minute hand of the clock is at (9+3=)12.
∴ The time is 09:00.