Answer:
The two times are 6:15 and 6:45
Step-by-step explanation:
Given
[tex]Time = 6\ O'\ clock[/tex]
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
