Question

George read 15 pages in a book in 12 minutes. At this rate, how long will it take him to finish the book if it has 85 pages?

Answer 1

68 minutes

Explanation:

Given that George read 15 pages in a book in 12 minutes, and we need to find out how long it will take him to finish the book if it has 85 pages, we must first find how much minutes it takes to read per page because we need to find the amount of time.

Write an equation (In this case p=pages and t= minutes or time):

(Remember! We are trying to find the minutes per page, not how many pages per minute.)

15p=12t

p=12/15t

p=0.8t

We now know he reads 1 page in 0.8 minutes. Given that we need to find the amount of time to read 85 pages, multiply 0.8 by 85 because 0.8 minutes=1 page.

85*0.8=68

Therefore, it takes him 68 minutes to read 85 pages

Answer 2

Explanation:

Set up a ratio in the form of pages/minute:

`(pages)/(minute) :`

then fill in next to that how many pages per minute George can read:

`(pages)/(minute):(15)/(12)`

Now we want to figure out how long (time is our unknown, so we call that x) it will take him to read 85 pages. The 85 goes in a ratio on the same line as the other number of pages:

`(pages)/(minute):(15)/(12)=(85)/(x)`

Cross multiply to get 15x = 1020

Now divide both sides by 15 to get x = 68 minutes, which is an hour and 8 minutes.