SOLUTION: Pipe A can fill a tank alone in 5 hours and Pipe B can fill the tank alone in 4 hours. A drain pipe (Pipe C) can empty the tank in 20 hours. With all three Pipes open, how long wi

Algebra ->  Test -> SOLUTION: Pipe A can fill a tank alone in 5 hours and Pipe B can fill the tank alone in 4 hours. A drain pipe (Pipe C) can empty the tank in 20 hours. With all three Pipes open, how long wi      Log On


   



Question 993128: Pipe A can fill a tank alone in 5 hours and Pipe B can fill the tank alone in 4 hours. A drain pipe (Pipe C) can empty the tank in 20 hours. With all three Pipes open, how long will it take to fill the tank
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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1%2F5 + 1%2F4 - 1%2F20 = 4%2F20+%2B+5%2F20+-+1%2F20 = %284%2B5-1%29%2F20 = 8%2F20 = 2%2F5.

Hence, it will take 5%2F2 = 21%2F2 hours.

It is a joint work problem.

For more solved problems of this type see the lesson  Using fractions to solve word problems on joint work  in this site.

It is free of charge and without registration.

Good luck!