A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it
in 7 hours. How long will it take to fill the vat if both pipes are left open
1 answer:
Answer:
5 1/4 hours
Step-by-step explanation:
The rate of filling is 1/3 vats per hour. The rate of emptying is 1/7 vats per hour, so the net rate of filling is ...
(1/3) -(1/7) = 4/21 . . . . vats per hour
Then for filling one vat, it will take an amount of time that is the inverse of this:
21/4 = 5 1/4 . . . hours per vat
If both pipes are left open, the vat will fill in 5 1/4 hours.
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Step-by-step explanation:
First use distributive property:
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Group like terms:
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Add like terms:
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