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Question 773606: An inlet pipe can fill Blake's pool in 5 hours while an outlet pipe can empty it in 8. If Blake left both pipes on, then, one hour later, shut off the outlet pipe, how long would it take to fill the pool?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! An inlet pipe can fill Blake's pool in 5 hours while an outlet pipe can empty it in 8.
If Blake left both pipes on, then, one hour later, shut off the outlet pipe,
how long would it take to fill the pool?
:
Let t = time to fill the pool
Let a full pool = 1
:
The outlet pipe subtracts water from the inlet pipe, was on for 1 hr.
:
 -  = 1
multiply by 40 to clear the denominators, results:
8t - 5 = 40
8t = 40 + 5
8t = 45
t = 45/8
t = 5.625 hrs or 5 + .625(60) = 5 hrs 37.5 min to fill the pool
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