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

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

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11 Dec 2012, 07:37
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Difficulty:

45% (medium)

Question Stats:

69% (02:17) correct 31% (02:18) wrong based on 316 sessions

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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?
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Posts: 58410
Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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11 Dec 2012, 10:15
7
5
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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18 Jun 2013, 01:46
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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11 Dec 2012, 09:53
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!
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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11 Dec 2012, 17:44
thanx...for the explanation
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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02 Apr 2014, 08:08
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, $$\frac{x}{10x} = \frac{1}{10}$$
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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02 Apr 2014, 22:06
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).
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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20 Dec 2015, 01:56
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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30 Dec 2015, 22:02
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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16 Feb 2017, 23:18
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My 2 Cents:
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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21 Feb 2017, 17:46
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??
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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21 Feb 2017, 18:52
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 05:00
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..?
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 05:07
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.
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 06:14
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

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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 06:34
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
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Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 10:44
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)
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Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 20:43
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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27 Jun 2017, 21:42
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
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Re: Two equally sized jugs full of water are each emptied into t  [#permalink]

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28 May 2019, 08:16
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, 08:16

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