GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Apr 2020, 01:21 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Two equally sized jugs full of water are each emptied into t

Author Message
TAGS:

### Hide Tags

Intern  Joined: 30 Jun 2012
Posts: 11
Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1
19 00:00

Difficulty:   55% (hard)

Question Stats: 68% (02:16) correct 32% (02:20) wrong based on 335 sessions

### HideShow timer Statistics

Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?
Math Expert V
Joined: 02 Sep 2009
Posts: 62507
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

7
6
apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

There are equal amounts of water in jars X and Y, say 2L, then:
The capacity of jar X is 10L (1/5*10=2L).
The capacity of jar Y is 3L (2/3*3=2L).

Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it.

Similar question to practice: equal-amount-of-water-were-poured-into-two-empty-jars-of-98962.html?hilit=water
_________________
SVP  Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1713
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

10
1
Jug X is filled 1/5th = 1/5 x.............. (1)
Jug Y is filled 2/3rd = 2/3 y................(2)

From the condition given, (1) = (2)
So, 1/5x = 2/3y.............................. (3)

To fill the Jug Y completely, additional water required-
= y-2/3y
= 1/3y............................................ (4)

Comparing (3) & (4), we get 1/3y = 1/10 x
##### General Discussion
GMAT Tutor G
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 627
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

2
apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

a. 0
b. 1/15
c. 2/15
d. 1/10
e. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

Suppose the water in each jug is L liters
CX x (1/5) = L
CX = 5L liters

CX is capacity of X

CY x (2/3) = L
CY = 3L/2 liters

CY is capacity of Y

Now, Y is 3L/2 - L empty = L/2 empty
So, we can put only L/2 water in jug Y from Jug X

Jug X's remaining water = L - L/2 = L/2

Fraction of X which contains water = water / CX
= (L/2)/ 5L
= 1/10

Hope it helps!
_________________
Intern  Joined: 30 Jun 2012
Posts: 11
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

thanx...for the explanation
Director  Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 685
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1
$$\frac{1}{5}Cx = \frac{2}{3}Cy$$

$$\frac{Cx}{Cy} = \frac{10}{3}$$

10x in X ----------- 3x in Y

One fifth of 10x = 2x
Two third of 3x = 2x capacity available x

So x is transfered from X to Y quanity left x

thus, $$\frac{x}{10x} = \frac{1}{10}$$
SVP  P
Joined: 24 Jul 2011
Posts: 2029
GMAT 1: 780 Q51 V48
GRE 1: Q800 V740
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1/5 of jug X = 2/3 of jug Y
We have to fill 1/3 more of jug Y, which is therefore 1/10 of jug X
=> Proportion of jug X that will remain filled = 1/5 - 1/10 = 1/10

Option (D).
_________________

Awesome Work | Honest Advise | Outstanding Results

Reach Out, Lets chat!
Email: info at gyanone dot com | +91 98998 31738 | Skype: gyanone.services
Intern  Joined: 06 Apr 2015
Posts: 4
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

GyanOne wrote:
1/5 of jug X = 2/3 of jug Y
We have to fill 1/3 more of jug Y, which is therefore 1/10 of jug X
=> Proportion of jug X that will remain filled = 1/5 - 1/10 = 1/10

Option (D).

Hey Gyanone

I do not understand how 1/3 is 1/10 of jug y
Director  G
Joined: 23 Jan 2013
Posts: 511
Schools: Cambridge'16
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1/5x=2/3y

x/y=10/3

so (1/3)*3=1 unit is free in Y and (1/5)*10=2 units X can give Y

1/10 leaves in X after pouring Y

D
Manager  G
Joined: 14 Oct 2012
Posts: 157
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1
My 2 Cents:
Attachments X & Y.png [ 17.63 KiB | Viewed 5320 times ]

Intern  B
Joined: 16 Nov 2016
Posts: 28
Location: India
GPA: 3.78
WE: Accounting (Accounting)
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

Can someone please explain this question with the numbers? Iam not understanding the first line given in the question. They say the jar had equal capacity before pouring into x and y right?Then why are the capacity equal to each other after pouring??
VP  P
Joined: 07 Dec 2014
Posts: 1242
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

if 1/5*X=2/3*Y,
then 1/10*X=1/3*Y, which will fill Y,
leaving 1/5*X-1/10*X=1/10 of X containing water
Current Student S
Joined: 05 Mar 2017
Posts: 185
Concentration: Operations, General Management
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

Bunuel wrote:
apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

There are equal amounts of water in jars X and Y, say 2L, then:
The capacity of jar X is 10L (1/5*10=2L).
The capacity of jar Y is 3L (2/3*3=2L).

Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it.

The question says that the water in the unnamed jugs was equal, that is their capacity was equal and not that X and Y are equal.
Pls explain.....
Most of the solutions here say that 1/5x=2/3y....I do not understand that how..?
Math Expert V
Joined: 02 Sep 2009
Posts: 62507
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1
siddreal wrote:
Bunuel wrote:
apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

There are equal amounts of water in jars X and Y, say 2L, then:
The capacity of jar X is 10L (1/5*10=2L).
The capacity of jar Y is 3L (2/3*3=2L).

Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it.

The question says that the water in the unnamed jugs was equal, that is their capacity was equal and not that X and Y are equal.
Pls explain.....
Most of the solutions here say that 1/5x=2/3y....I do not understand that how..?

Where do you see that the solution says that the capacity of X and Y are equal? The solution clearly mentions that X and Y have equal amounts of water but the capacity of X is 10L and the capacity of Y is 3L.
_________________
Director  D
Joined: 13 Mar 2017
Posts: 718
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

Let the capacity of Jug X be X, and that of Jug Y be Y .

so 1/5 X = 2/3 Y
-> X = 10/3 Y.......................(i)

Also total volume of 2 jugs = 2/3 Y*2 = 4/3 Y
So when the Jug Y is filled fully, The amount of water left in Jug X = 4/3 Y - Y = 1/3 Y = (1/3) (3/10 X) [From (i) Y = 3/10 X] = 1/10 X

Current Student P
Joined: 18 Aug 2016
Posts: 588
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

p = X/5 = 2Y/3
Y/3 water is required
X/5-Y/3 Water Poured
x/5-x/10=x/10

D
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Manager  B
Joined: 03 May 2017
Posts: 81
Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1
IMO, I think plugging number is the best approach to this sort of problem, especially for the not so confident test taker. Bunuel has given a variety of the this in a post above. Here is a similar, but IMO more foolproof approach.

1. Look for a number that is a multiple of all the integers, in the question, i.e 2*3*5 = 30.
2. Now, take this number as the equal starting volume and the find the capacity of each new jug.
1/5(X) = 30, X= 150
2/3(Y) = 30, Y= 45

3. Now take 15 from X to fill Y up. This leaves 15 in X.
30+15 = 45 ( Fills up Y)
30-15 = 15 ( Remains in X)

4. Fraction of water remaining in X = 15/150 = 1/10 (D)
VP  V
Status: Learning
Joined: 20 Dec 2015
Posts: 1090
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

Let the two equally sized jugs contain 2 liters of water ,
Now water is poured in two unequalempty jugs
2/x=1/5 and 2/y=2/3
solving above we have capacities of x=10 and y=3
Now y contains 2 liters of water so it needs only 1 liter to get full.
From X we take 1 liter , so the water now remaining in X is 1 liter so the fraction of water left is 1/10
Director  S
Joined: 17 Dec 2012
Posts: 619
Location: India
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

1
apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

1. Let us take the amount of water emptied as 10 L + 10 L i.e., jug x and jug y contain 10 L each
2. Jug x is 1/5 full i.e., capacity of jug x is 10*5=50 L
3. Jug y is is 2/3 full i.e., capacity of jug y is 10*3/2=15 L.
4. Five more liters will make jug y full.
5. After pouring 5 L, water left in jug x is 5 L.
6. Fraction of water contained in jug x is 5/50 = 1/10
_________________
Srinivasan Vaidyaraman
Magical Logicians

Holistic and Holy Approach
Intern  B
Joined: 19 Apr 2019
Posts: 33
Location: Indonesia
GMAT 1: 690 Q49 V34
GPA: 3.8
WE: Project Management (Commercial Banking)
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

### Show Tags

apoorvarora wrote:
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

Hi, can anyone please help to point out where is it mentioned that the water volume in jug X = jug Y.
How can you assume that the water is spread out evenly between jug X and jug Y. Re: Two equally sized jugs full of water are each emptied into t   [#permalink] 28 May 2019, 07:16

Go to page    1   2    Next  [ 21 posts ]

Display posts from previous: Sort by

# Two equally sized jugs full of water are each emptied into t  