Unit Rate Word Problems Worksheets - 15 Worksheets Library - Free Printable

Problem: Solve the unit rate word problems related to video games.

#### Step-by-Step Solutions:

1. In a multiplayer game, a player earned 2000 experience points in 4 hours. Calculate the unit rate of experience points earned per hour.
- Solution:
To find the unit rate, divide the total experience points by the total time (in hours).
\[
\text{Unit rate} = \frac{\text{Total experience points}}{\text{Total time (hours)}} = \frac{2000}{4} = 500 \text{ points per hour}
\]
Answer: 500 points per hour.

2. A character in a role-playing game (RPG) collects 240 gold coins in 6 days. Determine the unit rate of gold coin collection in coins per day.
- Solution:
Divide the total number of gold coins by the total number of days.
\[
\text{Unit rate} = \frac{\text{Total gold coins}}{\text{Total days}} = \frac{240}{6} = 40 \text{ coins per day}
\]
Answer: 40 coins per day.

3. In a racing game, a car travels 240 miles in 3 hours. Calculate the unit rate of distance traveled in miles per hour.
- Solution:
Divide the total distance by the total time (in hours).
\[
\text{Unit rate} = \frac{\text{Total distance}}{\text{Total time (hours)}} = \frac{240}{3} = 80 \text{ miles per hour}
\]
Answer: 80 miles per hour.

4. A gamer completed 10 levels in a game in 2 hours. Determine the unit rate of level completion in levels per hour.
- Solution:
Divide the total number of levels by the total time (in hours).
\[
\text{Unit rate} = \frac{\text{Total levels}}{\text{Total time (hours)}} = \frac{10}{2} = 5 \text{ levels per hour}
\]
Answer: 5 levels per hour.

5. A player scored 4000 points in a game in 2.5 hours. Calculate the unit rate of points scored per hour.
- Solution:
Divide the total points by the total time (in hours).
\[
\text{Unit rate} = \frac{\text{Total points}}{\text{Total time (hours)}} = \frac{4000}{2.5} = 1600 \text{ points per hour}
\]
Answer: 1600 points per hour.

6. In a strategy game, a player gathered 800 resources in 5 days. Find the unit rate of resource gathering in resources per day.
- Solution:
Divide the total resources by the total number of days.
\[
\text{Unit rate} = \frac{\text{Total resources}}{\text{Total days}} = \frac{800}{5} = 160 \text{ resources per day}
\]
Answer: 160 resources per day.

7. In a puzzle game, it took a player 20 minutes to solve 5 puzzles. Calculate the unit rate of puzzle solving in puzzles per minute.
- Solution:
Divide the total number of puzzles by the total time (in minutes).
\[
\text{Unit rate} = \frac{\text{Total puzzles}}{\text{Total time (minutes)}} = \frac{5}{20} = 0.25 \text{ puzzles per minute}
\]
Answer: 0.25 puzzles per minute.

8. A gamer defeated 60 opponents in an online battle game in 4 hours. Determine the unit rate of opponent defeats per hour.
- Solution:
Divide the total number of opponents defeated by the total time (in hours).
\[
\text{Unit rate} = \frac{\text{Total opponents}}{\text{Total time (hours)}} = \frac{60}{4} = 15 \text{ opponents per hour}
\]
Answer: 15 opponents per hour.

9. In a platformer game, a character jumped across 400 platforms in 10 minutes. Calculate the unit rate of platform jumping in platforms per minute.
- Solution:
Divide the total number of platforms by the total time (in minutes).
\[
\text{Unit rate} = \frac{\text{Total platforms}}{\text{Total time (minutes)}} = \frac{400}{10} = 40 \text{ platforms per minute}
\]
Answer: 40 platforms per minute.

10. A player collected 500 in-game coins in 30 minutes. Find the unit rate of coin collection in coins per minute.
- Solution:
Divide the total number of coins by the total time (in minutes).
\[
\text{Unit rate} = \frac{\text{Total coins}}{\text{Total time (minutes)}} = \frac{500}{30} \approx 16.67 \text{ coins per minute}
\]
Answer: 16.67 coins per minute.

---

Final Answers:

1. 500 points per hour
2. 40 coins per day
3. 80 miles per hour
4. 5 levels per hour
5. 1600 points per hour
6. 160 resources per day
7. 0.25 puzzles per minute
8. 15 opponents per hour
9. 40 platforms per minute
10. 16.67 coins per minute

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
1. 500 \text{ points per hour} \\
2. 40 \text{ coins per day} \\
3. 80 \text{ miles per hour} \\
4. 5 \text{ levels per hour} \\
5. 1600 \text{ points per hour} \\
6. 160 \text{ resources per day} \\
7. 0.25 \text{ puzzles per minute} \\
8. 15 \text{ opponents per hour} \\
9. 40 \text{ platforms per minute} \\
10. 16.67 \text{ coins per minute}
\end{array}
}
\]