SOLUTION: A tank is filled in 9 hours and drained in 11 hours. How long will it take to fill the tank if the nozzle is left 1/2 open?

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Question 1032200: A tank is filled in 9 hours and drained in 11 hours. How long will it take to fill the tank if the nozzle is left 1/2 open?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the drain is left 1/2 open
The drain being 1/2 open, means the tank
will take twice as long to drain, or 22 hrs
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Let +t+ = time in hrs to fill the tank
+1%2F9+-+1%2F22+=+1%2Ft+
Multiply both sides by +9%2A22+=+198+
+22+-+9+=+198%2Ft+
+13+=+198%2Ft+
+t+=+198%2F13+
+t+=+15.231
It will take 15.231 hrs to fill the tank
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check:
+1%2F9+-+1%2F22+=+1%2Ft+
+1%2F9+-+1%2F22+=+1%2F15.231+
+.111+-+.0455+=+.06565+
+.0656+=+.06565+
close enough