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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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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?

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

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11 Dec 2012, 09:53

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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

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.

Piyush K ----------------------- Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison Don't forget to press--> Kudos My Articles: 1. WOULD: when to use?| 2. All GMATPrep RCs (New) Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

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

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

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16 May 2015, 15:38

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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

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??

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

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.

Answer: D.

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..?

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.

Answer: D.

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

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

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

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27 Jun 2017, 10:44

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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)

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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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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