Unit Rate Word Problems worksheet for practicing real-world math applications.

Here is the step-by-step solution to each of the 6 unit rate word problems:

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Problem 1:
> A car manufacturer can produce 200 cars per day. How many weeks will it take to produce 5,600 cars?

Solution:

- First, find how many days are needed:
\[
\frac{5600 \text{ cars}}{200 \text{ cars/day}} = 28 \text{ days}
\]

- Convert days to weeks (since 1 week = 7 days):
\[
\frac{28 \text{ days}}{7 \text{ days/week}} = 4 \text{ weeks}
\]

✔ Answer: 4 weeks

---

Problem 2:
> Amra can run 20 kilometers in 3 hours at a steady rate. How long will it take her to run just 5 kilometers?

Solution:

- Find her unit rate (time per kilometer):
\[
\frac{3 \text{ hours}}{20 \text{ km}} = 0.15 \text{ hours per km}
\]

- Multiply by 5 km:
\[
0.15 \times 5 = 0.75 \text{ hours}
\]

- Convert to minutes (optional, but often helpful):
\[
0.75 \times 60 = 45 \text{ minutes}
\]

✔ Answer: 0.75 hours or 45 minutes

---

Problem 3:
> Petra always keeps the 6 bedrooms in her house clean. It takes her 15 minutes to clean a single room. How many hours will it take her to clean all 6 bedrooms?

Solution:

- Total time in minutes:
\[
6 \text{ rooms} \times 15 \text{ minutes/room} = 90 \text{ minutes}
\]

- Convert minutes to hours:
\[
\frac{90}{60} = 1.5 \text{ hours}
\]

✔ Answer: 1.5 hours

---

Problem 4:
> I can type 400 words per hour. How many minutes will it take me to write a report with 2,000 words?

Solution:

- Find total hours needed:
\[
\frac{2000 \text{ words}}{400 \text{ words/hour}} = 5 \text{ hours}
\]

- Convert hours to minutes:
\[
5 \times 60 = 300 \text{ minutes}
\]

✔ Answer: 300 minutes

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Problem 5:
> When I work for 4 hours I take 2 breaks of 15 minutes each. If I worked 12 hours yesterday, how many minutes in breaks did I take?

Solution:

- First, figure out how many 4-hour blocks are in 12 hours:
\[
\frac{12}{4} = 3 \text{ blocks}
\]

- Each block has 2 breaks of 15 minutes → 30 minutes per block.

- Total break time:
\[
3 \text{ blocks} \times 30 \text{ minutes/block} = 90 \text{ minutes}
\]

✔ Answer: 90 minutes

---

Problem 6:
> It takes me 12 minutes to swim 4 laps. How many hours will it take me to swim 50 laps?

Solution:

- Find time per lap:
\[
\frac{12 \text{ minutes}}{4 \text{ laps}} = 3 \text{ minutes per lap}
\]

- Time for 50 laps:
\[
50 \times 3 = 150 \text{ minutes}
\]

- Convert minutes to hours:
\[
\frac{150}{60} = 2.5 \text{ hours}
\]

✔ Answer: 2.5 hours

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✔ Final Answers Summary:

1. 4 weeks
2. 0.75 hours (or 45 minutes)
3. 1.5 hours
4. 300 minutes
5. 90 minutes
6. 2.5 hours

Let me know if you’d like these written out in a printable worksheet format!