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09 Dec 2020, 11:39
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ravitejapandiri
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) Machines 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
(1) Machines 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
Can you explain this one Bunuel plz?
At the end,we are having a definite quantity "X"..Right?So I still feel the answer is D.
Because there is no other value/variable affecting the outcome except for the "X".Please clarify if I am going badly wrong somewhere!
At the end,we are having a definite quantity "X"..Right?So I still feel the answer is D.
Because there is no other value/variable affecting the outcome except for the "X".Please clarify if I am going badly wrong somewhere!
Attachment:
DS-3 (1).jpg
Machine X rate = \(\frac{1}{X}\)
Machine Y rate = \(\frac{1}{Y}\)
Combined rate = \(\frac{X+Y}{XY}\)
Combined time taken = \(\frac{XY }{ X+Y}\)
(1) Tells us that \(\frac{XY }{ X+Y} = \frac{2X}{3}\)
This tells us \(2X = Y\); INSUFFICIENT.
(2) This statement tells us that \(2X = Y\); INSUFFICIENT.
(1&2) Each statement tells us the same information; INSUFFICIENT.
Answer is E.
09 Feb 2021, 00:48
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Similar Question: https://gmatclub.com/forum/machines-y-a ... 48321.html
11 Feb 2021, 07:13
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Hi Bunuel,
Thank you for the detailed explanation. I got the y=2x for 1) and 2) , so I thought those both are sufficient and chose D(or may be I chose C which is definitely wrong). I should have tried to apply y=2x in xy/(x+y) = x*(2/3), then I would have known it is not sufficient and must have chosen E. But thank you for the explanations, now I know why my answer is wrong and why E is the right answer.
Thank you for the detailed explanation. I got the y=2x for 1) and 2) , so I thought those both are sufficient and chose D(or may be I chose C which is definitely wrong). I should have tried to apply y=2x in xy/(x+y) = x*(2/3), then I would have known it is not sufficient and must have chosen E. But thank you for the explanations, now I know why my answer is wrong and why E is the right answer.
