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The volume of a rectangular swimming pool is 840 cubic meter

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tatane90
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The volume of a rectangular swimming pool is 840 cubic meter [#permalink] New post   26 Oct 2010, 13:53
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The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?

A. 0.125
B. 0.25
C. 0.5
D. 0.75
E. Not enough information to determine the rate
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E
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Re: Problem solving : rate [#permalink] New post   26 Oct 2010, 15:22
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The correct answer is E.
There are not enough info to answer the question.
A 840 cubic meters rectangle is built from: height*length*width.
From the question we know the volume of the pool and the filling rate.
A pool can have a a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate.
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Re: The volume of a rectangular swimming pool is 840 cubic meter [#permalink] New post   21 Oct 2013, 16:35
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tatane90 wrote:
The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?

A. 0.125
B. 0.25
C. 0.5
D. 0.75
E. Not enough information to determine the rate


A qualitative approach to this one would be to imagine a 1 meter by 1 meter opening that's 840 meters deep. How much water is flowing in to raise the water level 0.5 meters per minute?

Then imagine a giant 40 meter by 21 meter pool that's only 1 meter deep. How much water does it take to raise the water level in that pool 0.5 meters? Put another way, how long will it take to fill if you raise the water level 0.5 meters per minute?

Since one pool fills in 2 minutes and the other takes... quite a bit longer... but they both have the same volume, you know you need more information.
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Re: Problem solving : rate [#permalink] New post   27 Oct 2010, 10:29
I can only get H ... so Info is not sufficient
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Re: The volume of a rectangular swimming pool is 840 cubic meter [#permalink] New post   24 Sep 2015, 00:50
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This question is more about thinking than about actually solving

We are given the volume of the tank = 840 cubic meters.
Or 840 = L*B*H of the pools

Further, we are told that the water is rising at the rate of 0.5 meters per minute.
We have some information about the height, but absolutely none about the length and the breadth

The pool can have different sizes:
(l,b,h) = (84, 10, 1) or (42, 10, 2) or (1, 1, 840) and so on.
The time required to fill the tank will be different in each of the cases. Hence the information provided is not sufficient

Correct Option: E
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Re: The volume of a rectangular swimming pool is 840 cubic meter [#permalink] New post   10 Jun 2018, 13:32
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: The volume of a rectangular swimming pool is 840 cubic meter [#permalink]
10 Jun 2018, 13:32
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