Question

Elwin is attempting to read a 480 page book in 28 days. He reads the first 60 pages in 4 days. At this rate, will he finish the book in time? Show your work and/or explain your reasoning.

Answer 1

No, he won't

Explanation:

Given

Target = 480 pages in 28 days

Rate = 60 pages in 4 days

Required:

Determine if he'll reach his target

The rate can be expressed using:

`Rate = (Pages)/(Days)`

So, we have:

`Rate = (60\ pages)/(4\ days)`

Multiply the fraction by
`(7)/(7)`

`Rate = (60\ pages)/(4\ days) * (7)/(7)`

`Rate = (60\ pages * 7)/(4\ days * 7)`

`Rate = (420\ pages)/(28\ days)`

This can be interpreted as: 420 pages in 28 days

And his target is 480 pages in 28 days

Hence, he wont finish the book at that rate