 Jaime finishes 15 math problems in 2.5 hours. 

a. How many math problems can he finish in 8 hours? 

b. How long would it take him to finish 21 problems? 

Let's solve each part of the problem step by step.

### Part a: How many math problems can Jaime finish in 8 hours?

First, find the rate at which Jaime finishes math problems.

- **Rate of completing problems**: 
  \[
  \text{Rate} = \frac{15 \text{ problems}}{2.5 \text{ hours}} = \frac{15}{2.5} = 6 \text{ problems per hour}
  \]

Now, use this rate to determine how many problems he can finish in 8 hours:

- **Problems in 8 hours**:
  \[
  6 \text{ problems/hour} \times 8 \text{ hours} = 48 \text{ problems}
  \]

### Part b: How long would it take him to finish 21 problems?

Use the rate found earlier to determine the time needed to finish 21 problems:

- **Time required**:
  \[
  \text{Time} = \frac{21 \text{ problems}}{6 \text{ problems/hour}} = 3.5 \text{ hours}
  \]

### Summary:
- **Part a**: Jaime can finish **48 problems** in 8 hours.
- **Part b**: It would take Jaime **3.5 hours** to finish 21 problems.

Would you like more details or have any questions?

Here are 5 related questions:
1. How many problems can Jaime finish in 5 hours at the same rate?
2. If Jaime worked for 3 hours and finished 20 problems, what would his new rate be?
3. How many problems would Jaime finish in 12 hours if he increased his speed by 20%?
4. How long would it take Jaime to finish 100 problems at the current rate?
5. What would the time be to finish 50 problems if Jaime worked 25% faster?

**Tip:** When solving rate problems, always check the units (e.g., problems per hour) to ensure your calculations are consistent.

Explore how Jaime solves math problems involving rates and proportions. Learn how to determine how many problems Jaime can finish in different time periods and how long it would take him to complete specific tasks. Suitable for students in Grades 6-8.

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