SOLUTION: Please help A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the vat in 7 hours while the outlet pipe can empty in 10 hours. How long will it take to fi

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Question 852415: Please help
A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the vat in 7 hours while the outlet pipe can empty in 10 hours.
How long will it take to fill the vat if both pipes are left open?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A winery has a vat with 2 pipes leading to it.
The inlet pipe can fill the vat in 7 hours while the outlet pipe can empty in 10 hours.
How long will it take to fill the vat if both pipes are left open?
:
let t = time to fill the vat when both valves are open
let the completed job = 1 (a full vat)
:
fill is plus, empty is minus
:
t%2F7 - t%2F10 = 1
multiply by 70, cancel the denominators and you have
10t - 7t = 70
3t = 70
t = 70/3
t = 231%2F3 hrs to fill the vat
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