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For 5 hours, a photocopier copied at a constant rate of 2

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For 5 hours, a photocopier copied at a constant rate of 2 [#permalink] New post 10 May 2016, 07:56
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Question Stats:

70% (00:48) correct 29% (00:51) wrong based on 251 sessions
For 5 hours, a photocopier copied at a constant rate of 2 pages every 3 seconds.

Quantity A
Quantity B
The number of pages the photocopier copied in 5 hours
12,000


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




Practice Questions
Question: 7
Page: 63
[Reveal] Spoiler: OA

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Retired Moderator
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GRE 1: Q167 V156
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Kudos [?]: 3034 [1] , given: 394

Re: For 5 hours, a photocopier copied at a constant rate of 2 [#permalink] New post 10 May 2016, 07:57
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Explanation

Quantity A, is the number of pages the photocopier copied in the 5 hours. Copying at the rate of 2 pages every 3 seconds is the same as copying at a rate of 40 pages every 60 seconds, or 40 pages per minute.

This rate is the same as copying 2,400 pages every hour, or 12,000 pages in 5 hours.

Quantity A is equal to 12,000 and Quantity B is 12,000, the correct answer is Choice C.
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Re: For 5 hours, a photocopier copied at a constant rate of 2 [#permalink] New post 12 Jun 2019, 07:19
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sandy wrote:
For 5 hours, a photocopier copied at a constant rate of 2 pages every 3 seconds.

Quantity A
Quantity B
The number of pages the photocopier copied in 5 hours
12,000




We can apply some number sense here

GIVEN: The photocopier can copy 2 pages in 3 seconds
This means the photocopier can copy 40 pages in 60 seconds [if we multiply the operating time by 20, the output is multiplied by 20]
In other words, the photocopier can copy 40 pages in 1 MINUTE [since 60 seconds = 1 minute]
This means the photocopier can copy 2400 pages in 60 minutes [if we multiply the operating time by 60, the output is multiplied by 60]
In other words, the photocopier can copy 2,400 pages in 1 HOUR [since 60 minutes = 1 hour]
This means the photocopier can copy 12,000 pages in 5 hours [if we multiply the operating time by 5, the output is multiplied by 5]

We get:
QUANTITY A: 12,000
QUANTITY B: 12,000

Answer: C

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Re: For 5 hours, a photocopier copied at a constant rate of 2 [#permalink] New post 06 Jun 2020, 04:44
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Since the question gave time with seconds, we have to convert to seconds.
5 Hours have total of 18000 seconds, (3600*5)
Quantity A is saying the total printed pages in 5 hours.
2/3 = x/ 18000. x= 12000
Quantity B is 12000

the answer is C
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Re: For 5 hours, a photocopier copied at a constant rate of 2 [#permalink] New post 06 Jun 2020, 12:20
in 5 hours there are 60*5 = 300 mins
in 300 mins there are 300*60 = 18000 secs

Now, (high school method of cross multiplication)

Secs------Pgs
3-------- 2
18000-----x

The relationship is directly proportional as the more the time, the more the pages will be copied.
so, 3x=2*18000
x=12000
that is also the quantity B
so option C is correct
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Re: For 5 hours, a photocopier copied at a constant rate of 2   [#permalink] 06 Jun 2020, 12:20
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