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M11-11

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Bunuel
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M11-11 [#permalink] New post   16 Sep 2014, 00:44
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Question Stats:

80% (02:10) correct 20% (02:32) wrong based on 66 sessions
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Tub A and Tub B each contain 540 liters of water. Every minute, Tub A loses 25 liters of water, whereas Tub B loses 15 liters. After how many minutes will Tub B have 6 times as much water as Tub A?

A. 15
B. 20
C. 25
D. 30
E. 40
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B
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Bunuel
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Re M11-11 [#permalink] New post   16 Sep 2014, 00:44
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Official Solution:

Tub A and Tub B each contain 540 liters of water. Every minute, Tub A loses 25 liters of water, whereas Tub B loses 15 liters. After how many minutes will Tub B have 6 times as much water as Tub A?

A. 15
B. 20
C. 25
D. 30
E. 40


Let's denote the required amount of time as \(x\) minutes. Based on this, we can set up the equation: \(6(540 - 25x) = 540 - 15x\). Solving this equation, we determine that \(x = 20\).


Answer: B
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pairakesh10
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M11-11 [#permalink] New post   30 Jan 2015, 13:54
Hi,
I find it hard to visualize this problem. I am following MGMAT approach of creating the table. Can you please explain a bit more for this problem?
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Bunuel
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M11-11 [#permalink] New post   31 Jan 2015, 06:10
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pairakesh10 wrote:
Hi,
I find it hard to visualize this problem. I am following MGMAT approach of creating the table. Can you please explain a bit more for this problem?


Every minute tub A, containing 540 liters of water, loses 25 liters of water, thus after x minutes it'll contain 540 - 25x liters of water.

Every minute tub B, containing 540 liters of water, loses 15 liters of water, thus after x minutes it'll contain 540 - 15x liters of water.

We are told that after x minutes tub B will contain 6 times as much water as tub A, thus 6(540 - 25x) = 540 - 15x.

Hope it's clear.
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Re: M11-11 [#permalink] New post   12 Sep 2017, 16:01
Thanks Bunuel! Excellent question. I'd like to further refine my solving on these types of problems - could you suggest some other examples/problems that will help me?
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Re: M11-11 [#permalink] New post   12 Sep 2017, 21:03
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vpustovoyt wrote:
Thanks Bunuel! Excellent question. I'd like to further refine my solving on these types of problems - could you suggest some other examples/problems that will help me?


17. Work/Rate Problems



For more check:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
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Re: M11-11 [#permalink] New post   19 Oct 2023, 02:19
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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Re: M11-11 [#permalink]
19 Oct 2023, 02:19
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