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A photocopier takes 45 minutes to complete 1000 copies of a 1-page document. A manager needs 1100 copies of each of the three separate two-page documents. How many minutes will it take to complete this number of copies?

User Petehare
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Final answer:

To complete 1100 copies of each of the three separate two-page documents, the manager will need a total of 297 minutes.

Step-by-step explanation:

The question is asking how long it will take to complete copying three separate two-page documents, with 1100 copies of each, using a photocopier that has been established to take 45 minutes to complete 1000 copies of a one-page document. First, we need to determine how many pages in total need to be copied. Since there are three documents, each with two pages, that's a total of 3 documents × 2 pages = 6 pages to be copied for each set. Then, to find the total number of pages for 1100 sets, we multiply 6 pages × 1100 sets = 6600 pages to be copied. Given that the photocopier can copy 1000 pages in 45 minutes, we find how many 1000-page sets there are in 6600 pages by dividing 6600 pages by 1000 pages/set = 6.6 sets. To find the total time needed for these sets, we multiply 6.6 sets × 45 minutes/set. This results in 297 minutes required to complete all the copies. Therefore, the manager would need 297 minutes to complete the copying job.

User Lazy Dave
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