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If a copier makes 3 copies every 4 seconds, then continues at this rat

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If a copier makes 3 copies every 4 seconds, then continues at this rat [#permalink]

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New post 26 Jul 2016, 09:53
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If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies?

A. 60
B. 100
C. 120
D. 200
E. 3,000
[Reveal] Spoiler: OA

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Re: If a copier makes 3 copies every 4 seconds, then continues at this rat [#permalink]

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New post 26 Jul 2016, 10:18
45 copies per min
9000/45

200

D


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Re: If a copier makes 3 copies every 4 seconds, then continues at this rat [#permalink]

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New post 26 Jul 2016, 10:25
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3 copies 4 seconds
9000 copies = (9000*4)/3 seconds
= 12000/60 minutes
= 200 minutes
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Re: If a copier makes 3 copies every 4 seconds, then continues at this rat [#permalink]

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New post 26 Jul 2016, 11:15
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Bunuel wrote:
If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies?

A. 60
B. 100
C. 120
D. 200
E. 3,000

We can solve the question using EQUIVALENT RATIOS

(# copies)/(seconds)
Let x = seconds to make 9000 copies.
We get: 3/4 = 9000/x
Cross multiply to get: 3x = (4)(9000)
Simplify: 3x = 36,000
Solve: x = 12,000 SECONDS

There are 60 seconds in a minute.
12,000/60 = 200
So, it takes 200 MINUTES to make 9000 copies

Answer: D

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Re: If a copier makes 3 copies every 4 seconds, then continues at this rat [#permalink]

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New post 09 Apr 2018, 07:22
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Top Contributor
Bunuel wrote:
If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies?

A. 60
B. 100
C. 120
D. 200
E. 3,000


Another approach is to apply some number sense in a series of steps

GIVEN: Copier makes 3 copies every 4 seconds
So: the copier makes 45 copies every 60 seconds [if we increase the working time by a factor of 15, then the number of copies increases by a factor of 15]
In other words, the copier makes 45 copies every 1 MINUTE [60 seconds = 1 MINUTE]
Keep going: the copier makes 9000 copies every 200 MINUTES [if we increase the working time by a factor of 200, then the number of copies increases by a factor of 200]

Answer: D

Cheers,
Brent
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Re: If a copier makes 3 copies every 4 seconds, then continues at this rat   [#permalink] 09 Apr 2018, 07:22
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