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.
[tex]\frac{320}{32}=\frac{x}{42}[/tex]Cross multiply:
[tex]\begin{gathered} 32x=320\times42 \\ \\ 32x=13440 \end{gathered}[/tex]Divide both sides by 32:
[tex]\begin{gathered} \frac{32x}{x}=\frac{13440}{32} \\ \\ x=420 \end{gathered}[/tex]Therefore, Kenneth will read 420 pages after a total of 42 hours.
ANSWER:
420 pages.
