SOLUTION: A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 23 hours if water enters through a hose alone. If water is entering through both the pipe and

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 23 hours if water enters through a hose alone. If water is entering through both the pipe and       Log On


   

Question 990695: A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 23 hours if water enters through a hose alone. If water is entering through both the pipe and the hose, how long will it take to fill the pool 4/5 full?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A swimming pool can be filled in 15 hours if water enters through a pipe alone, or in 23 hours if water enters through a hose alone. If water is entering through both the pipe and the hose, how long will it take to fill the pool 4/5 full?
Pipe rate:: 1/15 job/hr
hose rate:: 1/23 job/hr
Together rate:: 1/x job/hr
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Equation:
x((1/15)+(1/23)) = 4/5
x(38/(15*23)) = 4/5
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x = 18.47 hrs = 18 hr 28 min (time required)
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Cheers,
Stan H.
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