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At a certain printing plant, each of m machines prints 6 newspapers ev

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At a certain printing plant, each of m machines prints 6 newspapers ev  [#permalink]

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New post 01 Feb 2018, 23:33
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

74% (02:19) correct 26% (02:07) wrong based on 69 sessions

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At a certain printing plant, each of m machines prints 6 newspapers every s seconds. If all machines work together but independently without interruption, how many minutes will it take to print an entire run of 18,000 newspapers?

(A) 180s/m
(B) 50s/m
(C) 50ms
(D) ms/50
(E) 200m/s

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Re: At a certain printing plant, each of m machines prints 6 newspapers ev  [#permalink]

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New post 01 Feb 2018, 23:43
Bunuel wrote:
At a certain printing plant, each of m machines prints 6 newspapers every s seconds. If all machines work together but independently without interruption, how many minutes will it take to print an entire run of 18,000 newspapers?

(A) 180s/m
(B) 50s/m
(C) 50ms
(D) ms/50
(E) 200m/s


Number of newspapers printed by a machine per second = 6/s
Total number of newspapers printed by m machines per second = (6/s) * m

Total time in mins to print an entire run of 18,000 newspapers = 18,000/(6*m*60 / s) = 50 s/m

Answer B
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Re: At a certain printing plant, each of m machines prints 6 newspapers ev  [#permalink]

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New post 02 Feb 2018, 00:00
B

one machines produce 6 newspapers every 's' seconds ie in 's/60' minutes. Productivity = 6/(s/60) = 360/s newspapers/minute.

Total productivity of 'm' machines = m*60/s newspapers/minute.

Time taken to print 18000 newspapers = 18000/(m*360/s) = 18000*s/(m*360) = 50s/m minutes
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Re: At a certain printing plant, each of m machines prints 6 newspapers ev  [#permalink]

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New post 06 Mar 2019, 21:32
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: At a certain printing plant, each of m machines prints 6 newspapers ev   [#permalink] 06 Mar 2019, 21:32
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