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PS DRUM CAPACITY

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Senior Manager
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PS DRUM CAPACITY [#permalink] New post 11 Jun 2005, 18:07
00:00
A
B
C
D
E

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(N/A)

Question Stats:

0% (00:00) correct 100% (00:31) wrong based on 1 sessions
.Hello
I am having troubles solving this one without knowing J
what do you think thanks


Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/J full of oil. If all of the oil in drum X is poured into drum Y. then drum Y will be filled to what fraction of its capacity ?

(A) 3/4
B 5/6
C 11/2
D 7/6
E 11/6
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Re: PS DRUM CAPACITY [#permalink] New post 02 Nov 2011, 11:26
Picking smart numbers like 6 or 100 will give the answer.

Lets say Drum x capacity is 100. Drum Y capacity will be 200.

Oil in drum x is 50
Oil in drum y is 100* 2/3 = 400/3

Fraction of oil in y after x is emptied into y is = (50 + 400/3) / 200
= 550/600
= 11/12
Answer is c
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Re: PS DRUM CAPACITY [#permalink] New post 02 Nov 2011, 12:43
icaniwill wrote:
Picking smart numbers like 6 or 100 will give the answer.

Lets say Drum x capacity is 100. Drum Y capacity will be 200.

Oil in drum x is 50
Oil in drum y is 100* 2/3 = 400/3

Fraction of oil in y after x is emptied into y is = (50 + 400/3) / 200
= 550/600
= 11/12
Answer is c


Where did the 6 go? You can't just pick a random number for J because the end result will vary.
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Re: PS DRUM CAPACITY [#permalink] New post 02 Nov 2011, 12:55
Drum x has Volume of X and is contains X/2 oil. Drum y has Volume of 2X and contains 2X*2/J or 4X/J oil.

After pouring all oil from x (X/2 oil) into y, we get 4X/J + X/2 = (8X + JX)/(2J). To find what percent of y's total volume that is, divide that by y's volume which is 2X.

The result is (8+J)/(4J). The smallest percentage that number can be is if J is infinitely large. That makes the percentage 1/4 or 25%. The largest it can be is 1 or 100% full. So J can be anywhere from 8/3 to infinity.

Conclusion is that you need J to solve this. Something is wrong with that problem.
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Re: PS DRUM CAPACITY [#permalink] New post 03 Nov 2011, 05:38
the original problem states "..is 2/3 full of oil..". This is a official guide problem and the original poster may have mis-typed it. There is no J in the problem.

So, picking any number(6 or 100 or something else) for the drum x will give you the answer (same answer).
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Re: PS DRUM CAPACITY [#permalink] New post 03 Nov 2011, 06:24
Thanks, that makes more sense.
Re: PS DRUM CAPACITY   [#permalink] 03 Nov 2011, 06:24
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