SOLUTION: A pool takes 9 hours to full with the intake hose and 12 hours to empty with the outtake hose. if both hose are left open, how long does the pool take to full?

Question 695718: A pool takes 9 hours to full with the intake hose and 12 hours to empty with the outtake hose. if both hose are left open, how long does the pool take to full?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
add the rate at which the pool is filled and
subtract the rate at which it is emptied to get
the rate with both hoses open.
---------------------------
rate for intake hose = ( 1 pool filled ) / ( 9 hrs )
rate for outtake hose = ( 1 pool emptied ) / ( 12 hrs )
Let = time in hrs for the pool to fill
with both hoses open
-------------

Multiply both sides by

With both hoses open, the pool is filled in 36 hours

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