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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 :

Lanuel

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).

[tex]9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages[/tex]

Cross-multiplying, we have;

[tex]9[/tex] × [tex]60[/tex] [tex]= 13[/tex] × [tex]X[/tex]

[tex]540 = 13X\\\\X = \frac{540}{13}[/tex]

X = 41.54 ≈ 42 minutes

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

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