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If a photocopier makes 2 copies in 1/3 second, then, at the same rate,

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If a photocopier makes 2 copies in 1/3 second, then, at the same rate,  [#permalink]

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New post 21 May 2017, 07:55
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If a photocopier makes 2 copies in \(\frac{1}{3}\) second, then, at the same rate, how many copies does it make in 4 minutes?

(A) 360

(B) 480

(C) 576

(D) 720

(E) 1,440

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Re: If a photocopier makes 2 copies in 1/3 second, then, at the same rate,  [#permalink]

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New post 21 May 2017, 08:02
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carcass wrote:
If a photocopier makes 2 copies in \(\frac{1}{3}\) second, then, at the same rate, how many copies does it make in 4 minutes?

(A) 360

(B) 480

(C) 576

(D) 720

(E) 1,440


The rate of 2 copies in \(\frac{1}{3}\) second = 6 copies in 1 second.

4 minutes = 4*60 = 240 seconds, thus in 240 seconds the photocopier will make 240*6 = 1,440 copies.

Answer: E.
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Re: If a photocopier makes 2 copies in 1/3 second, then, at the same rate,  [#permalink]

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New post 30 May 2018, 16:09
carcass wrote:
If a photocopier makes 2 copies in \(\frac{1}{3}\) second, then, at the same rate, how many copies does it make in 4 minutes?

(A) 360

(B) 480

(C) 576

(D) 720

(E) 1,440


The rate of the photocopier, in minutes, is:

2/(1/3) x 60 = 6 x 60 = 360

So in 4 minutes, 360 x 4 = 1,440 copies are made.

Answer: E
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Re: If a photocopier makes 2 copies in 1/3 second, then, at the same rate,  [#permalink]

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New post 30 Sep 2018, 06:16
Top Contributor
carcass wrote:
If a photocopier makes 2 copies in \(\frac{1}{3}\) second, then, at the same rate, how many copies does it make in 4 minutes?

(A) 360

(B) 480

(C) 576

(D) 720

(E) 1,440


We can also solve this question with equivalent ratios

We'll first convert 4 minutes to SECONDS in order to use the same units of measurement throughout the solution.
1 minute = 60 seconds
So, 4 minutes = 240 seconds.

Now let's set up and equation using the ratio # of copies/time in seconds
Let x = the number of copies made in 4 minutes (aka 240 seconds)
We get: 2/(1/3) = x/240
Cross multiply to get: (1/3)(x) = (2)(240)
Simplify: x/3 = 480
Multiply both sides by 3 to get: x = 1440

Answer: E

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Re: If a photocopier makes 2 copies in 1/3 second, then, at the same rate, &nbs [#permalink] 30 Sep 2018, 06:16
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