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M11-11

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M11-11 [#permalink]

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Tub A and tub B contain 540 liters of water each. Every minute tub A loses 25 liters of water while tub B loses 15 liters. If in \(X\) minutes tub B will contain 6 times as much water as tub A, what is \(X\)?

A. 15
B. 20
C. 25
D. 30
E. 40
[Reveal] Spoiler: OA

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New post 16 Sep 2014, 00:44
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Official Solution:

Tub A and tub B contain 540 liters of water each. Every minute tub A loses 25 liters of water while tub B loses 15 liters. If in \(X\) minutes tub B will contain 6 times as much water as tub A, what is \(X\)?

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

The equation is \(6(540 - 25X) = 540 - 15X\) from where \(X = 20\).

Answer: B
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: M11-11 [#permalink]

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New post 30 Jan 2015, 13:54
Bunuel wrote:
Official Solution:

Tub A and tub B contain 540 liters of water each. Every minute tub A loses 25 liters of water while tub B loses 15 liters. If in \(X\) minutes tub B will contain 6 times as much water as tub A, what is \(X\)?

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

The equation is \(6(540 - 25X) = 540 - 15X\) from where \(X = 20\).

Answer: B

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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Re: M11-11 [#permalink]

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New post 31 Jan 2015, 06:10
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pairakesh10 wrote:
Bunuel wrote:
Official Solution:

Tub A and tub B contain 540 liters of water each. Every minute tub A loses 25 liters of water while tub B loses 15 liters. If in \(X\) minutes tub B will contain 6 times as much water as tub A, what is \(X\)?

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

The equation is \(6(540 - 25X) = 540 - 15X\) from where \(X = 20\).

Answer: B

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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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: M11-11 [#permalink]

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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]

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New post 12 Sep 2017, 21:03
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128460 [0], given: 12173

Re: M11-11   [#permalink] 12 Sep 2017, 21:03
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