Owen wrote a total of 18 pages over 6 hours. How many hours will Owen have to spend writing this week in order to have written a total of 30 pages? Solve using unit rates.



 hours\

To solve this problem using unit rates, we'll first determine Owen's writing speed in pages per hour, and then use that to find out how many hours he'll need to write 30 pages.

### Step 1: Calculate the unit rate (pages per hour)
Owen wrote 18 pages in 6 hours.

The unit rate is:
\[
\text{Pages per hour} = \frac{\text{Total pages}}{\text{Total hours}} = \frac{18 \text{ pages}}{6 \text{ hours}} = 3 \text{ pages per hour}
\]

### Step 2: Determine the number of hours required to write 30 pages
Now that we know Owen writes 3 pages per hour, we can find out how many hours it will take to write 30 pages:

\[
\text{Hours required} = \frac{\text{Total pages to write}}{\text{Pages per hour}} = \frac{30 \text{ pages}}{3 \text{ pages per hour}} = 10 \text{ hours}
\]

So, Owen will need to spend **10 hours** writing this week to complete 30 pages.

Would you like more details or have any questions?

Here are some related questions you might find useful:
1. If Owen increases his writing speed to 4 pages per hour, how long would it take him to write 30 pages?
2. How many pages can Owen write in 8 hours at his current speed?
3. If Owen only has 5 hours available, how many pages can he write?
4. What is the total time required for Owen to write 50 pages at the same rate?
5. If Owen wrote 12 pages in the first 4 hours, how much time would he need to write the remaining 18 pages?

**Tip:** When dealing with unit rates, always check the consistency of the units (pages per hour, miles per hour, etc.) to ensure correct calculations.

Learn how to calculate the time Owen needs to spend writing this week to reach 30 pages using unit rates. Understand the concept of unit rates and proportional reasoning applied to solve this problem. Suitable for students in Grades 6-8.

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