Question

It takes chuck 24 minutes to type and spell check 14 pages. Find how many pages he can type and spell check in 1.5 hours. Remember to convert 1.5 hours to minutes

Answer 1

In order to find how many pages can be typed, first let's convert 1.5 hours to minutes:

`\begin{gathered} 1\text{ hour}\to60\text{ minutes} \\ 1.5\text{ hour}\to x\text{ minutes} \\ \\ (1)/(1.5)=(60)/(x) \\ x=60\cdot1.5 \\ x=90 \end{gathered}`

Then, to find the number of pages, let's do the following rule of three:

`\begin{gathered} 14\text{ pages}\to24\text{ minutes} \\ x\text{ pages}\to90\text{ minutes} \\ \\ (14)/(x)=(24)/(90) \\ 24x=14\cdot90 \\ x=(14\cdot90)/(24)=52.5 \end{gathered}`

Therefore Chuck can type and spell check 52.5 pages in 1.5 hours.