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Machines X and Y work at their respective constant rates.

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Manager
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Machines X and Y work at their respective constant rates. [#permalink] New post 31 Aug 2008, 10:52
Machines X and Y work at their respective constant rates. How many more hours does it take machine Y, working alone, to fill a production order of a certain size than it takes machine X, working alone?

(1) Machine X and Y, working together, fill a production order of this size in two-thirds the time that machine X, working alone, does.

(2) Machine Y, working alone, fills a production order of this size in twice the time that machine X, working alone, does.
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Re: GMATPrep Question [#permalink] New post 31 Aug 2008, 12:20
lionheart187 wrote:
Machines X and Y work at their respective constant rates. How many more hours does it take machine Y, working alone, to fill a production order of a certain size than it takes machine X, working alone?

(1) Machine X and Y, working together, fill a production order of this size in two-thirds the time that machine X, working alone, does.

(2) Machine Y, working alone, fills a production order of this size in twice the time that machine X, working alone, does.


E

x can be 4 hours, y can be 8 hours
x can be 40 hours, y can be 80 hours
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Re: GMATPrep Question [#permalink] New post 31 Aug 2008, 16:55
IMO 'D'

bith statements are individually sufficient to answer the question.

1)

X+Y = 2X/3
so
1/X + 1/Y = 1/(X+Y)
1/X + 1/Y = 3/2X
1/Y = 1/2X
Y = 2X ..... double the speed of X ......... so X more hours.

2)

1/X + 1/2X = 1/(X+Y)
Y takes X more hours.
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Re: GMATPrep Question [#permalink] New post 31 Aug 2008, 17:16
E. statement 2 is a paraphrase of statement 1.
Re: GMATPrep Question   [#permalink] 31 Aug 2008, 17:16
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Machines X and Y work at their respective constant rates.

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