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Machine X and Y produce bottles at their respective constant

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Manager
Manager
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Joined: 08 Feb 2006
Posts: 128
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Machine X and Y produce bottles at their respective constant [#permalink] New post 26 Feb 2006, 21:56
Machine X and Y produce bottles at their respective constant rate. Machine X produces K bottles in 6 hours and Machine Y produces K bottles in 2 hours. How many hours does it take Machine X and Y working together to produce 12 bottles?

a. 8
b. 12
c. 15
d. 18
e. 24
Manager
Manager
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Joined: 14 Jun 2005
Posts: 100
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Kudos [?]: 5 [0], given: 0

 [#permalink] New post 27 Feb 2006, 06:40
I think there is something wrong with the question....K can be 1 or 1000.

It takes X and Y 3/2 hours to produce k bottles, so (3/2)/k per bottle. For 12 bottles, 12(3/2)(1/k)
GMAT Club Legend
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Joined: 07 Jul 2004
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 [#permalink] New post 27 Feb 2006, 18:12
Machine X - K/6 bottles in 1 hour
Machine Y - K/2 bottles in 1 hour

Together, 2K/3 bottles in 1 hour

To produce 12 bottles, both will take 18/K hours

Is there a problem with the question? The number of hours depends on the value of K
VP
VP
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Joined: 29 Apr 2003
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 [#permalink] New post 28 Feb 2006, 02:50
Yeah, whats the value of K? The answers shud be in terms of K!
  [#permalink] 28 Feb 2006, 02:50
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Machine X and Y produce bottles at their respective constant

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