SOLUTION: An inlet pipe can fill a tank in 6 minutes. A drain can empty the tank in 8 minutes. If the tank is empty and both the pipe and drain are open, how long will it take before the tan
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Question 134620: An inlet pipe can fill a tank in 6 minutes. A drain can empty the tank in 8 minutes. If the tank is empty and both the pipe and drain are open, how long will it take before the tank over flows? Found 2 solutions by solver91311, vleith:Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! The inlet can fill the tank in 6 minutes, so it fills of the tank in 1 minute. Likewise the drain can empty the take at a rate of tank per minute.
Filling and draining at the same time, the tank will fill at a rate of . So of the tank fills per minute, and the fluid will reach the top of the tank in 24 minutes.
You can put this solution on YOUR website! Think about what happens in the time it takes to 'fill the tank'. With the drain open, 6/8th of the water will drain in the time it would take to fill the tank with the drain closed.
So instead of having a full tank, we have a a tank that is (1 - 3/4) full = 1/4 full.
So the tank fills 1/4 of the way every 6 minutes.
How many minutes to fill it at that rate?? We will need to add in 1/4 + 1/4 + 1/4 + 1/4 = 1
We need 4 times the 6 minutes to fill the tank. ==> 24 minutes
Look at it another way, You could fill the tank 4 times in 24 minutes if the drain was closed. You could drain the tank 3 times in 24 minutes if you had 3 full tanks ready to rock and roll.
Net 4 - 3 = 1 tank after 24 minutes.
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