SOLUTION: A tank is filled in 9hrs and drained in 11hrs. How long will it take to fill the tank if the drain is left half open?

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Question 836239: A tank is filled in 9hrs and drained in 11hrs. How long will it take to fill the tank if the drain is left half open?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A tank is filled in 9hrs and drained in 11hrs.
How long will it take to fill the tank if the drain is left half open?
:
Assuming a half open drain will drain the tank in 22 hrs
Let t = time required to fill the tank if both fill and half-drain pipe are open
Let the full tank = 1
:
t%2F9 - t%2F22 = 1
multiply by 198 to clear the denominators
22t - 9t = 198
13t = 198
t = 198/13
t = 15.23 hrs to fill the tank with drain half open