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# Water is pumped into a partially filled tank at a constant

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Water is pumped into a partially filled tank at a constant [#permalink]

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21 Feb 2011, 04:53
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78% (01:23) correct 22% (00:28) wrong based on 223 sessions

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Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $$2\frac{1}{2}$$ minutes.

Official Guide 12 Question

 Question: 10 Page: 273 Difficulty: 600

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OPEN DISCUSSION OF THIS QUESTION IS HERE: water-is-pumped-into-a-partially-filled-tank-at-a-constant-136881.html
[Reveal] Spoiler: OA

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Re: Water is pumped into a partially filled tank at a constant [#permalink]

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18 Feb 2016, 01:17
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GMATD11 wrote:
Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $$2\frac{1}{2}$$ minutes.

Official Guide 12 Question

 Question: 10 Page: 273 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

Water is pumped into a partially filled tank at a constant rate through an inlet pipe. At the same time, water is pumped out of the tank at a constant rate through an outlet pipe. At what rate, in gallons per minute, is the amount of water in the tank increasing?

(1) The amount of water initially in the tank is 200 gallons. Clearly insufficient.
(2) Water is pumped into the tank at a rate of 10 gallons per minute and out of the tank at a rate of 10 gallons every $$2\frac{1}{2}$$ minutes. Since water is pumped out of the tank at a rate of 10 gallons every $$2\frac{1}{2}=\frac{5}{2}$$ minutes, then it's pumped out at a rate of $$\frac{10}{(\frac{5}{2})}=4$$ gallons per minute, hence the net increase is $$10-4=6$$ gallons per minute. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: water-is-pumped-into-a-partially-filled-tank-at-a-constant-136881.html
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Re: Water is pumped into a partially filled tank at a constant [#permalink]

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21 Feb 2011, 05:13
I agree with solution B. Since water is being pumped into the tank at the rate of 10 gallon per minute and out at the rate of 4 gallon (calculation: 10*2/5) per minute the water level increases at the rate of 6 gallon per minute.

However, as you were able to derive the answer yourself (and included the solution), I'm not quite sure why you posted the question.
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Re: Water is pumped into a partially filled tank at a constant [#permalink]

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17 Feb 2016, 20:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Water is pumped into a partially filled tank at a constant   [#permalink] 17 Feb 2016, 20:47
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