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 1001452: 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.
:
If the drain is left half open, we can assume it will take twice as long to drain a full tank. 22 hrs
:
let t = time to fill the tank with the drain half open
let the completed job = 1 (a full tank)
:
t%2F9 - t%2F22 = 1
multiply equation by 9 * 22 = 198, cancel the denominators
22t - 9t = 198
13t = 198
t = 198/13
t = 15.23 hrs to fill the tank, about 15 hrs 14 min