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Working alone, Printers X, Y, and Z can do a certain printin

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Working alone, Printers X, Y, and Z can do a certain printin [#permalink] New post 25 Jun 2006, 14:10
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  35% (medium)

Question Stats:

71% (02:01) correct 28% (01:58) wrong based on 21 sessions
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 15, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?

(A) 4/11
(B) 1/2
(C) 15/22
(D) 22/15
(E) 11/4

OPEN DISCUSSION OF THIS QUESTION IS HERE: working-alone-printers-x-y-and-z-can-do-a-certain-printin-168358.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 05 Mar 2014, 23:20, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: PS problem - work/rate [#permalink] New post 25 Jun 2006, 14:15
necromonger wrote:
Working alone, printers P1, P2, and P3 can do a certain printing job, consisting of a large number of pages, in 12, 15, and 18 hours, respectively. What is the ratio of the time it takes printer P1 to do the job, working alone at its rate, to the time it takes printers P2 and P3 to do the job, working together at their individual rates?

A) 33/12
B) 1/3
C) 15/22
D) 22/15
E)11/4


P1 takes 12 hrs

Rate for P2 & P3 together = 1/15 + 1/18 = 11/90
Therefore they take 90/11

Ratio = 22/15 = D
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Re: Working alone, printers P1, P2, and P3 can do a certain [#permalink] New post 05 Mar 2014, 19:42
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Answer = C = 15/22

1/12 : (1/15 + 1/18)

1/12 : 11/90

= 15/22
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Re: Working alone, Printers X, Y, and Z can do a certain printin [#permalink] New post 05 Mar 2014, 23:20
Expert's post
Re: Working alone, Printers X, Y, and Z can do a certain printin   [#permalink] 05 Mar 2014, 23:20
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