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

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Director
Joined: 07 Jun 2006
Posts: 513
Working alone, Printers X, Y, and Z can do a certain printin [#permalink]

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25 Jun 2006, 15:10
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Difficulty:

55% (hard)

Question Stats:

61% (02:39) correct 39% (01:47) wrong based on 171 sessions

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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

Last edited by Bunuel on 06 Mar 2014, 00:20, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Director
Joined: 16 Aug 2005
Posts: 938
Location: France
Re: PS problem - work/rate [#permalink]

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25 Jun 2006, 15:15
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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SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Working alone, printers P1, P2, and P3 can do a certain [#permalink]

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05 Mar 2014, 20:42
1
KUDOS
Answer = C = 15/22

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

1/12 : 11/90

= 15/22
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Math Expert
Joined: 02 Sep 2009
Posts: 39595
Re: Working alone, Printers X, Y, and Z can do a certain printin [#permalink]

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06 Mar 2014, 00:20
OPEN DISCUSSION OF THIS QUESTION IS HERE: working-alone-printers-x-y-and-z-can-do-a-certain-printin-168358.html
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Re: Working alone, Printers X, Y, and Z can do a certain printin   [#permalink] 06 Mar 2014, 00:20
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# Working alone, Printers X, Y, and Z can do a certain printin

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