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# Machine X and Y produce bottles at their respective constant

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Manager
Joined: 08 Feb 2006
Posts: 128
Followers: 1

Kudos [?]: 7 [0], given: 0

Machine X and Y produce bottles at their respective constant [#permalink]  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
Joined: 14 Jun 2005
Posts: 100
Followers: 1

Kudos [?]: 7 [0], given: 0

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
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

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
Joined: 29 Apr 2003
Posts: 1403
Followers: 2

Kudos [?]: 18 [0], given: 0

Yeah, whats the value of K? The answers shud be in terms of K!
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