Chapter 1.1, Problem 3MC

Mathematical Connections 1-2

Abby and Dan are preparing for a GRE (Graduate Record Exam) to take place in $5\text{ months}$. Abby starts by studying $\text{10 hours}$ the first week and increases her study by $\text{30 minutes per week}$. Dan starts at $\text{6 hours per week}$, but increases his time every week by $\text{45 minutes per week}$. Answer the following.

a. How many hours did each student study in week $8$?

b. In which week will Dan first catch up with Abby in the number of hours spent studying per week?