Robert writes at a rate of 3 pages per hour. To reach 33 pages, he will need 11 hours. Thus, he must spend 11 hours riding this week to achieve his goal.
To find the unit rate of pages written per hour, divide the total pages by the total hours:

![\[ \text{Unit Rate} = \frac{15 \text{ pages}}{5 \text{ hours}} = 3 \text{ pages/hour} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/uf4192leh04zl42v1ibyprai686rh5w5x3.png)
Now, to find the hours needed to write 33 pages, use the unit rate:
![\[ \text{Hours} = \frac{\text{Total Pages}}{\text{Unit Rate}} = \frac{33 \text{ pages}}{3 \text{ pages/hour}} = 11 \text{ hours} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/8fguwimrc0a1bighrl3vtp6g1xhkws3jqt.png)
Therefore, Robert will need to spend 11 hours riding this week to write a total of 33 pages.