Question

The time is 6o'clock. What are the next two times at which the hour and minute hands will be perpendicular?

Answer 1

The two times are 6:15 and 6:45

Explanation:

Given

`Time = 6\ O'\ clock`

Required

Next two times which the hour and minute hands are perpendicular

For a time to have perpendicular hands, the difference between the hour and minute hands must be 15 minutes.

Having said that:

15 minutes after 6 O' clock is: 6 : 15 (This is perpendicular)

15 minutes after then is 6 : 30 -- This is not perpendicular

15 minutes after then is 6 : 45 -- This is perpendicular

Hence, the two times are: 6:15 and 6:45