Chapter 6.1, Problem 56E

To determine

To find the rate of reading on two afternoons.

Answer to Problem 56E

The rate of reading was faster on the first afternoon.

Explanation of Solution

Given information:

The given statement is:

“One afternoon, you read $24$ pages of a novel in $30$ minutes. Another afternoon, you read $33$ pages in $45$ minutes. How can you decide whether you read at the same rate or at different rates on the two afternoons? On which afternoon did you read at a faster rate? Explain”

Calculation :

The speed of reading on the first afternoon can be calculated by:

  $\frac{24\text{ pages}}{30\text{ minutes}}=0.8\text{ page per minute}$

The speed of reading on the second day can be calculated by:

  $\frac{\text{33 pages}}{\text{45 minutes}}=0.73\text{ page per minute}$

The rate of reading on the first afternoon was $0.8\text{ page per minute}$ and the rate of reading on the second afternoon was $0.73\text{ page per minute}$ .

Hence, the rate of reading was faster on the first afternoon.