Question

8.) It takes Fred 9 minutes to type and spell check 13 pages of a manuscript. Find how long it takes him to type and spell check 60 pages. Round to the nearest whole number. answer: minutes​

Answer 1

It will take Fred 42 minutes to type and spell check 60 pages.

• Let the first scenario be A.

• Let the second scenario be B.
• Let the unknown time be X.

Given the following data;

• Time taken A = 9 minutes

• Number of pages A = 13 pages

• Number of pages B = 60 pages

• Time taken B = X minutes

To find how long it takes him to type and spell check 60 pages;

We would use direct proportion to express the work described and solve for the unknown variable (time).

$9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages$

Cross-multiplying, we have;

$9$ × $60$ $= 13$ × $X$

$540 = 13X\\\\X = \frac{540}{13}$

X = 41.54 ≈ 42 minutes

Therefore, it will take Fred 42 minutes to type and spell check 60 pages.

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