A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 15 hours, while an outlet pipe can empty the barrel in 20 hours. How many hours would 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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Mathematics

12 April, 21:31

A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 15 hours, while an outlet pipe can empty the barrel in 20 hours. How many hours would 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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Moriah Costa · Answer 1

60 hours

Step-by-step explanation:

Let X be the total capacity.

Inlet speed: X/15

Outlet speed: X/20

Combined:

X/15 - X/20 = X/60

X/60 = X/time

Time = 60 hours