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Let's go through the problems one by one and solve them.

1. **Aliyah can jog 6 km in 2 hours. At this rate, how many kilometers can Aliyah jog in 5 hours?**

   - Aliyah's jogging rate is \( \frac{6 \text{ km}}{2 \text{ hours}} = 3 \text{ km/h} \).
   - In 5 hours, she can jog:
     \[
     3 \text{ km/h} \times 5 \text{ hours} = 15 \text{ km}.
     \]
   **Answer**: 15 kilometers.

2. **Jim can write 10 pages of his novel in 4 hours. At this rate, how many pages can Jim write in 16 hours?**

   - Jim's writing rate is \( \frac{10 \text{ pages}}{4 \text{ hours}} = 2.5 \text{ pages/hour} \).
   - In 16 hours, he can write:
     \[
     2.5 \text{ pages/hour} \times 16 \text{ hours} = 40 \text{ pages}.
     \]
   **Answer**: 40 pages.

3. **Bill can hit a bucket of 323 golf balls in 17 hours. How many golf balls can Bill hit in 23 hours?**

   - Bill's rate of hitting golf balls is \( \frac{323 \text{ balls}}{17 \text{ hours}} = 19 \text{ balls/hour} \).
   - In 23 hours, he can hit:
     \[
     19 \text{ balls/hour} \times 23 \text{ hours} = 437 \text{ balls}.
     \]
   **Answer**: 437 golf balls.

4. **A plane flew 2220 kilometers in 3 hours. What is its speed?**

   - The plane's speed is:
     \[
     \frac{2220 \text{ km}}{3 \text{ hours}} = 740 \text{ km/h}.
     \]
   **Answer**: 740 kilometers per hour.

5. **Mark can make 49 birthday cakes in 7 days. How many birthday cakes can Mark make in 5 days?**

   - Mark's cake-making rate is \( \frac{49 \text{ cakes}}{7 \text{ days}} = 7 \text{ cakes/day} \).
   - In 5 days, he can make:
     \[
     7 \text{ cakes/day} \times 5 \text{ days} = 35 \text{ cakes}.
     \]
   **Answer**: 35 cakes.

Would you like further explanation for any of these problems?

Here are 5 related questions to expand your understanding:
1. What if Aliyah jogged 8 km in 2.5 hours? How far could she jog in 4 hours?
2. If Jim’s writing speed decreases by 20%, how many pages would he write in 16 hours?
3. If Bill could hit 50 golf balls in 5 hours, how many could he hit in 12 hours?
4. If a different plane flew at 800 km/h, how far would it travel in 6 hours?
5. How many birthday cakes could Mark make in 10 days if he increased his rate to 8 cakes per day?

**Tip**: To solve rate problems, always find the unit rate (per hour, per day, etc.) and then multiply by the time you need!

1. Aliyah can jog 6 km in 2 hours. At this rate, how many kilometers can Aliyah jog in 5 hours? 2. Jim can write 10 pages of his novel in 4 hours. At this rate, how many pages can Jim write in 16 hours? 3. Bill can hit a bucket of 323 golf balls in 17 hours. How many golf balls can Bill hit in 23 hours? 4. A plane flew 2220 kilometers in 3 hours. What is its speed? 5. Mark can make 49 birthday cakes in 7 days. How many birthday cakes can Mark make in 5 days?

This page explains how to solve rate-based math problems involving jogging, writing, hitting golf balls, flying, and cake-making. Learn to calculate distances, speeds, and quantities using basic rate formulas. Suitable for Grade 5-6 students.

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