SOLUTION: An inlet pipe can fill a tank in 15 minutes. A drain can empty the tank in 18 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the
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-> SOLUTION: An inlet pipe can fill a tank in 15 minutes. A drain can empty the tank in 18 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the
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Question 1124078: An inlet pipe can fill a tank in 15 minutes. A drain can empty the tank in 18 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows? Found 3 solutions by ikleyn, FrankM, MathTherapy:Answer by ikleyn(52767) (Show Source):
The inlet pipe fills of the tank volume per minute.
The drain pipe drains of the tank volume per minute.
When both pipes are open, then the net inflow rate is - = = of the tank volume per minute.
Hence, it will take 90 minutes to fill the tank, when both pipes are working.
You can put this solution on YOUR website! The fill rate is 4 tanks/hour
The drain rate is 3-1/3 tanks per hour.
The 'accumulation rate' is therefore 2/3 tank per hour, and it will take 1.5 hours to fill.
Proof - this is 90 minutes. In 90 minutes, the inlet can fill the tank 6 times, but the drain will let 5 tanks out.
You can put this solution on YOUR website! An inlet pipe can fill a tank in 15 minutes. A drain can empty the tank in 18 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows?