After hitting a plot twist in his new mystery novel, Kendrick can't wait to find out who the villain is. So far, he spent 3 hours reading the first 165 pages. If Kendrick continues to read at the same rate, how many more minutes will he need to finish the 198-page book?

Question

Write your answer as a whole number, decimal, or simplified fraction. Do not round.
minutes

Answer 1

To find out how long Kendrick will need to finish the 198-page book, we first determine his reading rate based on the 165 pages he has already read in 3 hours.

1. Calculate Kendrick's reading rate: \[ \text{Reading rate} = \frac{165 \text{ pages}}{3 \text{ hours}} = 55 \text{ pages per hour} \]

2. Determine how many pages are left: \[ \text{Pages left} = 198 \text{ pages} - 165 \text{ pages} = 33 \text{ pages} \]

3. Calculate the time required to read the remaining pages: Using the reading rate, we find the time in hours it takes to read the remaining 33 pages: \[ \text{Time (in hours)} = \frac{33 \text{ pages}}{55 \text{ pages per hour}} = \frac{33}{55} \text{ hours} \] We can simplify \(\frac{33}{55}\): \[ \frac{33}{55} = \frac{3}{5} \text{ hours} \]

4. Convert hours to minutes: Since there are 60 minutes in an hour, we convert \(\frac{3}{5}\) hours to minutes: \[ \text{Time (in minutes)} = \frac{3}{5} \times 60 = 36 \text{ minutes} \]

Thus, Kendrick will need 36 minutes to finish the book.