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Joe wants to copy a 975 page manual and will use the office copy machi

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
Joe wants to copy a 975 page manual and will use the office copy machi  [#permalink]

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01 Jan 2018, 10:35
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Question Stats:

89% (01:48) correct 11% (00:43) wrong based on 11 sessions

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Joe wants to copy a 975 page manual and will use the office copy machine, which can make 4 copies per second. If employees at Joe's office must reserve copier time with the printing department in one minute increments then, at a minimum, how many minutes must Joe reserve?

A. 4
B. 5
C. 55
D. 243
E. 244

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Joined: 22 May 2016
Posts: 3558
Joe wants to copy a 975 page manual and will use the office copy machi  [#permalink]

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01 Jan 2018, 14:10
Bunuel wrote:
Joe wants to copy a 975 page manual and will use the office copy machine, which can make 4 copies per second. If employees at Joe's office must reserve copier time with the printing department in one minute increments then, at a minimum, how many minutes must Joe reserve?

A. 4
B. 5
C. 55
D. 243
E. 244

The machine copies at a rate of
$$\frac{4pages}{1sec}*\frac{60secs}{1 min}=\frac{240pages}{1 minute}$$

How many minutes must Joe schedule to copy 975 pages?

W/r = t, time to finish the work:

$$\frac{975p}{\frac{240p}{1min}}= 975 *\frac{1}{240}= 4.xx$$

A remainder of work time means he needs more than four minutes to finish.

To check: (240 * 4) = 960
4 minutes = only 960 pages, not 975

The machine is reserved in 1-minute increments.
He must schedule one more minute (he won't use all of it)

4 + 1 = 5 minutes

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Joe wants to copy a 975 page manual and will use the office copy machi   [#permalink] 01 Jan 2018, 14:10
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