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

Answer:

No, he won't

Step-by-step 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:

$Rate = \frac{Pages}{Days}$

So, we have:

$Rate = \frac{60\ pages}{4\ days}$

Multiply the fraction by $\frac{7}{7}$

$Rate = \frac{60\ pages}{4\ days} * \frac{7}{7}$

$Rate = \frac{60\ pages * 7}{4\ days * 7}$

$Rate = \frac{420\ pages}{28\ days}$

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