SOLUTION: what time after 4 o'clock will the hands of the contionously drive clock from a right angle?

Question 631371: what time after 4 o'clock will the hands of the contionously drive clock from a right angle?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
At exactly 4 o'clock, the big hand is on the 12
and the little hand is on the 4. They span 20
minutes out of 60, or 120 degrees out of 360 degrees
------------------
The minute hand will move at the rate of 360 degrees / hr
The hour hand will move at the rate of
degrees / hr
------------------
I want the difference between them to be 90 degrees with
the difference starting out at 120 degrees
Let = the angle between the hands
Let = the time in hours for the angle between them
to equal 90 degrees
-------------------

hrs
minutes

---------------
The hands will be 90 degrees apart at
4:05 and 27 sec
check:

OK
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