SOLUTION: Pump A can fill a tank of water in 3 hours. Pump B can fill the same tank in 6 hours. How long does it take the two pumps working together to fill the tank?

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Question 871507: Pump A can fill a tank of water in 3 hours. Pump B can fill the same tank in 6 hours. How long does it take the two pumps working together to fill the tank?
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You use two things:
The rate of both pumps operating together is the sum of their individual rates, and the rate unit is in tank per hour.

1%2F3%2B1%2F6

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/3+1/6=1/x
2/6+1/6=1/x
3/6=1/x
1/2=1/x
x=2
each hour one pump does 1/3 and the other does 1/6
so in two hours one does 2/3 and the other does 2/6 or 1/3