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 839565: 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 josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the fill rates as amount of tank per amount of time, so you would have the filler as 1/9 tanks per hour, and the drain as -1%2F11 tanks per hour, IF it were fully open.

Filling Rate is this, if the filler is fully open and drainer is HALF open:
1%2F9-1%2F22 tankfulls per hour
22%2F198-9%2F198
highlight_green%2813%2F198%29 tankfulls per hour.
This assumes that half-open drainer means half the drain rate for that opening.

Rate%2ATime=Tank
Uniform rate equation to do a particular job on a tank; in this case, filling it according to the conditions described.

highlight%28%2813%2F198%29%2At=1%29
Solve for t, the time to fill this tank with the drain being half opened.


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