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A particular printer can print 96 pages in 25 minutes. How many minute

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A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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A particular printer can print 96 pages in 25 minutes. How many minutes does it take 2 such printers to print 48 pages?

A. 6 minutes and 15 seconds
B. 12 minutes and 30 seconds
C. 25 minutes
D. 50 minutes
E. 100 minutes
[Reveal] Spoiler: OA

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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 12 Apr 2017, 03:57
one printer can print 48 pages in 12.5 mins..

then two printers in 6.25 mins..

ans A

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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 12 Apr 2017, 06:54
Bunuel wrote:
A particular printer can print 96 pages in 25 minutes. How many minutes does it take 2 such printers to print 48 pages?

A. 6 minutes and 15 seconds
B. 12 minutes and 30 seconds
C. 25 minutes
D. 50 minutes
E. 100 minutes


1 Printer
96 pages 25 min

2 Printers
192 pages in 25 min

Divide by 4
48 pages in 6.25 minutes

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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 12 Apr 2017, 07:35
Bunuel wrote:
A particular printer can print 96 pages in 25 minutes. How many minutes does it take 2 such printers to print 48 pages?

A. 6 minutes and 15 seconds
B. 12 minutes and 30 seconds
C. 25 minutes
D. 50 minutes
E. 100 minutes


Efficiency of the printer is \(\frac{96}{25} = 3.84\) pages/minute

Efficiency of 2 printers is \(7.68\) pages/minute

So, Time required to print 48 pages by 2 printers is \(\frac{48}{7.68} = 6.25\) minutes.

Thus, answer must be (A) 6 minutes and 15 seconds..
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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 12 Apr 2017, 10:15
96/48 = 25/x
2/1 = 25/x
2x = 25
x = 12.5

12.5/2 = 6.25 = 6 minutes and 15 seconds. Answer is A

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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 19 Apr 2017, 14:58
Bunuel wrote:
A particular printer can print 96 pages in 25 minutes. How many minutes does it take 2 such printers to print 48 pages?

A. 6 minutes and 15 seconds
B. 12 minutes and 30 seconds
C. 25 minutes
D. 50 minutes
E. 100 minutes


We are given that a printer prints 96 pages in 25 minutes. Thus, the rate of the printer is 96/25 pages per minute.

The rate of two printers is 2 x (96/25) = 192/25.

Since time = work/rate, it takes 2 printers 48/(192/25) = (48 x 25)/192 = 25/4 = 6 1/4 minutes, or 6 minutes and 15 seconds, to print 48 pages.

Answer: A
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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 16 Oct 2017, 19:25
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Hi All,

Sometimes these types of rate questions can be complex, but this one is actually pretty straight-forward. It might help to think of the 'math steps' one at a time though (instead of trying to use all of the information all at once).

To start, we're told that particular printer can print 96 pages in 25 minutes. This is our 'baseline rate.' If we double the number of pages, then we would double the amount of time that it would take the printer. If we halve the number of pages, then we would halve the amount of time needed. If we double the number of printers, then we halve the amount of time needed.

The questions asks for the number of minutes that it would take 2 such printers to print 48 pages.

48 pages is HALF of 96 pages, so 1 printer would need HALF of 25 minutes = 12.5 minutes to complete the print job. We have 2 printers though, so since we're doubling the number of printers to do the same amount of work, we would halve the amount of time needed:

12.5/2 = 6.25 minutes = 6 minutes 15 seconds

Final Answer:
[Reveal] Spoiler:
A


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Re: A particular printer can print 96 pages in 25 minutes. How many minute [#permalink]

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New post 10 Nov 2017, 22:18
we can use ratio's to solve this problem
96 pages=25 mins or 96/25=k where k is a constant=rate of the printer. 2 such printers will be 96*2/25

Next
48 pages=t mins or 48/t=K constant since we are using the same printers

96*2/25=48/t
or t=48*25/96*2=25/4=6.15 Answer=A

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Re: A particular printer can print 96 pages in 25 minutes. How many minute   [#permalink] 10 Nov 2017, 22:18
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