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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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06 Aug 2012, 03:09
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87% (01:42) correct 13% (00:40) wrong based on 741 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.

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 68848 [1] , given: 9819

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

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06 Aug 2012, 03:09
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SOLUTION

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.

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

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06 Aug 2012, 23:28

thanks,
Math Expert
Joined: 02 Sep 2009
Posts: 32664
Followers: 5663

Kudos [?]: 68848 [1] , given: 9819

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

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10 Aug 2012, 04:55
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SOLUTION

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.

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

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26 Sep 2013, 08:40
Hello from the GMAT Club BumpBot!

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

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06 Feb 2015, 16:04
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]

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27 Apr 2016, 05:39
Statement 1 gives the initial capacity of the tank, clearly insufficient
statement 2 gives both the rate of inflow as well as outflow which is sufficient to calculate the rate at which water is increasing per minute in the tank
Re: Water is pumped into a partially filled tank at a constant   [#permalink] 27 Apr 2016, 05:39
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