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Working at a constant rate, a copy machine makes 20 copies of a one-pa

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Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 29 Jul 2018, 02:40
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Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 29 Jul 2018, 02:53
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Bunuel wrote:
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?


20 Copies = 1 Min
1 Copy = 1 / 20 Min

Therefore,
4800 Copies = 4800 / 20 Min
4800 Copies = 240 Min = 240 / 60 Hrs = 4 Hrs

Hence, A.
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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 03 Aug 2018, 15:06
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Bunuel wrote:
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


If the copy machine can make 20 copies of a one-page document per minute, then it can make 20 x 60 = 1,200 copies per hour. So it will take 4,800/1,200 = 4 hours to make 4,800 copies.

Answer: A
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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 04 Aug 2018, 08:07
1
Bunuel wrote:
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


NEW question from GMAT® Quantitative Review 2019



(PS03439)


The efficiency of the machine per hour is \(20*60 = 1200\)

So, To produce \(4800\) copies time required is \(\frac{4800}{1200} = 4\) Hours, Answer must be (A)
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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 07 Aug 2018, 08:56
1
Bunuel wrote:
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


NEW question from GMAT® Quantitative Review 2019



(PS03439)

------------------------------------------------------------------------------------------------------------------------------------------------


20 copies in 60 seconconds

20/60=3 seconds per 1 copy
4,800 copies * 3seconds= 14400 seconds
14400/per 60=240 minutes
240 minutes/60=4 hours
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Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 02 Oct 2018, 06:42
1
Copy machine makes 20 copies=1 min
So, 4800 copies=4800/20= 240 mins

240 mins=240/60 = 4 hrs

(A)
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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 28 Jun 2019, 10:43
20 copies per minute is equivalent to 60x20 copies/hour = 1200 copies/hour

dividing 4800/1200 or to make it more simple 48/12 the answer is 4.

so (A) is the answer.
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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 06 Aug 2019, 17:59
Chain Rule:

Let r be the rate, now

r * 1 minute= 20 copies,
multiply 240 on both sides-

r * 240 minutes = 4800 copies

So, 240 minutes is basically 4 hours

Bunuel wrote:
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


NEW question from GMAT® Quantitative Review 2019



(PS03439)

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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa  [#permalink]

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New post 15 Aug 2019, 04:55
By Taking ratios:

Time taken to make 4,800 copies of a one-page document = X

Therefore,

20 copies /1min = 4800 copies/X min
Solve for X,
X= 240 mins
X= 4 hours.
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Re: Working at a constant rate, a copy machine makes 20 copies of a one-pa   [#permalink] 15 Aug 2019, 04:55
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