This worksheet challenges students to apply unit rate concepts to solve six real-world scenarios involving typing speeds, travel distances, and production rates.

Unit Rate Word Problems

Here are the solutions to the problems, step by step:

---

#### Problem 1:
I can type 50 words in 10 minutes. How long will it take me to write 150 words?

Solution:
1. First, find the unit rate (words per minute):
\[
\text{Unit rate} = \frac{50 \text{ words}}{10 \text{ minutes}} = 5 \text{ words per minute}
\]
2. Now, determine how many minutes it takes to type 150 words:
\[
\text{Time} = \frac{150 \text{ words}}{5 \text{ words per minute}} = 30 \text{ minutes}
\]

Answer: It will take 30 minutes to write 150 words.

---

#### Problem 2:
An airplane can reach a speed of 650 miles per hour. How long will it take the airplane to travel a distance of 1,950 miles at top speed?

Solution:
1. Use the formula for time:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
2. Substitute the given values:
\[
\text{Time} = \frac{1,950 \text{ miles}}{650 \text{ miles per hour}} = 3 \text{ hours}
\]

Answer: It will take 3 hours to travel 1,950 miles.

---

#### Problem 3:
I can swim 200 meters in 8 minutes. How long will it take me to swim 1 kilometer?

Solution:
1. Convert 1 kilometer to meters:
\[
1 \text{ kilometer} = 1,000 \text{ meters}
\]
2. Find the unit rate (meters per minute):
\[
\text{Unit rate} = \frac{200 \text{ meters}}{8 \text{ minutes}} = 25 \text{ meters per minute}
\]
3. Determine the time to swim 1,000 meters:
\[
\text{Time} = \frac{1,000 \text{ meters}}{25 \text{ meters per minute}} = 40 \text{ minutes}
\]

Answer: It will take 40 minutes to swim 1 kilometer.

---

#### Problem 4:
A factory can produce 200 cars per day. How long is needed to produce 9,000 cars?

Solution:
1. Use the formula for time:
\[
\text{Time} = \frac{\text{Total cars}}{\text{Cars per day}}
\]
2. Substitute the given values:
\[
\text{Time} = \frac{9,000 \text{ cars}}{200 \text{ cars per day}} = 45 \text{ days}
\]

Answer: It will take 45 days to produce 9,000 cars.

---

#### Problem 5:
A florist can prepare 12 flower bouquets per day. How long will it take him to prepare 624 bouquets?

Solution:
1. Use the formula for time:
\[
\text{Time} = \frac{\text{Total bouquets}}{\text{Bouquets per day}}
\]
2. Substitute the given values:
\[
\text{Time} = \frac{624 \text{ bouquets}}{12 \text{ bouquets per day}} = 52 \text{ days}
\]

Answer: It will take 52 days to prepare 624 bouquets.

---

#### Problem 6:
It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?

Solution:
1. Convert 10,000 meters to kilometers:
\[
10,000 \text{ meters} = 10 \text{ kilometers}
\]
2. Find the unit rate (minutes per kilometer):
\[
\text{Unit rate} = \frac{12 \text{ minutes}}{2 \text{ kilometers}} = 6 \text{ minutes per kilometer}
\]
3. Determine the time to run 10 kilometers:
\[
\text{Time} = 10 \text{ kilometers} \times 6 \text{ minutes per kilometer} = 60 \text{ minutes}
\]

Answer: It will take 60 minutes to run 10,000 meters.

---

Final Answers:

1. 30 minutes
2. 3 hours
3. 40 minutes
4. 45 days
5. 52 days
6. 60 minutes

\boxed{30, 3, 40, 45, 52, 60}