Question

Kenneth read a total of 320 pages over 32 hours. After a total of 42 hours of reading this week, how many pages will Kenneth have read in all? Assume the relationship is directly proportional.

Answer 1

From the question, we can deduce the following:

320 pages ==> 32 hours

Let's find how many pages Kenneth will read in 42 hours.

We have:

32 hours = 320 pages

42 hours = x pages

Apply the proportionality equation and solve for x.

`(320)/(32)=(x)/(42)`

Cross multiply:

`\begin{gathered} 32x=320*42 \\ \\ 32x=13440 \end{gathered}`

Divide both sides by 32:

`\begin{gathered} (32x)/(x)=(13440)/(32) \\ \\ x=420 \end{gathered}`

Therefore, Kenneth will read 420 pages after a total of 42 hours.

ANSWER:

420 pages.