SOLUTION: Between 12:00 and 1:00, when will the minute hand be 40 minute spaces ahead of the hour hand?

Question 1011924: Between 12:00 and 1:00, when will the minute hand be 40 minute spaces ahead of the hour hand?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The hour hand will be somewhere between 12 and 1 on
the clock. It's speed is minute spaces/hr
-----------------------------
The minute hand will go a little beyond the 40 minute
since the hour hand is moving at the same time.
It's speed is minute spaces/hr
----------------------------------------
In words:
[ rate of minute hand ]x[ time elapsed ] minus [ rate of hour hand ]x[ time elapsed ]
equals [ 40 minute spaces ]
( note that time is in hours )
-------------------------------

hrs
Convert hrs to minutes

and

------------------------
The hands will be 40 minute spaces apart at
12:43:38
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