To determine if Daniel and Elizabeth read at the same rates, we need to calculate their reading rates in pages per hour.

Daniel's Reading Rate:

• Daniel reads 30 pages in 2 hours.
• Rate = $\frac{30 \text{ pages}}{2 \text{ hours}} = 15 \text{ pages per hour}$.

Elizabeth's Reading Rate:

• Elizabeth reads 45 pages in 3 hours.
• Rate = $\frac{45 \text{ pages}}{3 \text{ hours}} = 15 \text{ pages per hour}$.

Since both Daniel and Elizabeth read 15 pages per hour, they read at the same rate.

Correct Answer:

• Yes. Daniel and Elizabeth each read 15 pages an hour.

Would you like further explanation or have any questions?

Here are some related questions you might find interesting:

1. How do you calculate the rate of work or speed in general?
2. What happens to the reading rate if one reads more pages in the same amount of time?
3. How can you compare two rates to determine if they are equal?
4. How would the answer change if Daniel read 30 pages in 3 hours instead?
5. What other units can be used to express rates besides pages per hour?

Tip: Always simplify rates to compare them easily, as this method can be applied to various real-world problems like speed, productivity, and efficiency comparisons.