It takes 60 minutes to make 2000 copies on an old copy machine. The newer copier works with the old copier to create 2000 sheets

Question

4 years ago

9

and it only takes 15 minutes. How many minutes would the new copier need to create the 2000 copies on its own?

1 answer:

Cerrena [4.2K] · Answer 1 · 2022-01-27T02:56:39+03:00

The new copier can create 2000 copies in 20 minutes.

Step-by-step explanation:

Given,

It takes 60 minutes to make 2000 copies by old printer and 15 minutes to made x number of copies, therefore, using proportion

$60:2000::15:x$

Product of mean = Product of extreme

$2000*15=60*x\\30000=60x\\60x=30000$

Dividing both sides by 60

$\frac{60x}{60}=\frac{30000}{60}\\x=500$

As the new copier is working with old copier, therefore,

Copies made by new printer = 2000 - 500 = 1500

New copier can make 1500 copies in 15 minutes and 2000 copies in x minutes, using proportion

$1500:15::2000:x\\1500*x=15*2000\\1500x=30000$

Dividing both sides by 1500;

$\frac{1500x}{1500}=\frac{30000}{1500}\\x=20$

The new copier can create 2000 copies in 20 minutes.

Keywords: ratio, proportion

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