SOLUTION: Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes wi

Question 201648: Filling a tank. A water tank has an inlet pipe and a drain
pipe. A full tank can be emptied in 30 minutes if the drain
is opened and an empty tank can be filled in 45 minutes
with the inlet pipe opened. If both pipes are accidentally
opened when the tank is full, then how long will it take to empty the tank?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

By itself, the drain can empty

of the tank in 1 minute. By itself, the inlet can fill

of the tank in 1 minute.

Since filling takes longer than emptying, the net effect is that the tank will empty itself, so with both valves open,

of the tank will empty in one minute, and it will then take

minutes for the tank to empty. You get to do the arithmetic. Hint: LCD = 90.

John

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