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# Working independently at their respective constant rates, pumps X and

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Re: Working independently at their respective constant rates, pumps X and [#permalink]
Working independently at their respective constant rates, pumps X and Y took 48 minutes to fill an empty tank with water. What fraction of the water in the full tank came from pump X ?

(1) Working alone at its constant rate, pump X would have taken 80 minutes to fill the tank with water.

(2) Working alone at its constant rate, pump Y would have taken 120 minutes to fill the tank with water.

The question is essentially asking us how much work was done by X? To figure that out, we need to know the rate of X and the amount of time that it took.

Statement 1 - Rx = 1/80 minutes
Wpumpx = RT = 1/80 x 48 = 3/5 <-- i.e. pump x did 3/5 of the work

Statement 2 - Ry = 1/120
Wtotal = Wpumpx + Wpumpy
Solve for Wpumpx
Sufficient.
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Re: Working independently at their respective constant rates, pumps X and [#permalink]
Work problems follow the rate problems topic with work/time
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Re: Working independently at their respective constant rates, pumps X and [#permalink]
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Re: Working independently at their respective constant rates, pumps X and [#permalink]
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