SOLUTION: A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if

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Question 500771: A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it 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 6 hours, while the outlet pipe can empty it in 10 hours.
How long will it take to fill the vat if both pipes are left open?
:
Let t = time to fill when both valves are open
Let the completed job = 1, (a full vat)
:
t%2F6 1 t%2F10 = 1
multiply b6 30 to clear the denominators, results:
5t - 3t = 30
2t = 30
t = 30%2F2
t = 15 hrs to fill the vat:
:
Check
15/6 - 15/10 =
2.5 - 1.5 = 1; confirms our solution of t = 15 hrs