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

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Question 886046: A tank is filled in 9 hours and drained in 11 hours. 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 9 hours and drained in 11 hours.
How long will it take to fill the tank if the drain is left half open?
:
If the drain is left half open, it should take 22 hrs to drain
:
let t = time to fill tank under the given conditions
let the completed job = 1 (a full tank)
fill is +, drain is -
t%2F9 - t%2F22 = 1
Multiply equation by 198, cancel the denominators and you have:
22t - 9t = 198
13t = 198
t = 198/13
t = 15.23 hrs