Question 1019937: A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 10 hours, while an outlet pipe can empty the barrel in 14 hours. How long will it take to fill the barrel if both the inlet and outlet pipes are open? Express your answer as a fraction reduced to lowest terms, if needed.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 10 hours, while an outlet pipe can empty the barrel in 14 hours. How long will it take to fill the barrel if both the inlet and outlet pipes are open? Express your answer as a fraction reduced to lowest terms, if needed.
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Inlet pipe rate:: 1/10 job/hr
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Outlet pipe rate:: 1/14 job/hr
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Together rate:: 1/x job/hr
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Equation::
rate - rate = together rate
1/10 - 1/14 = 1/x
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14x - 10x = 10*14
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4x = 10*14
x = 35 hrs (time to fill together)
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Cheers,
Stan H.
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