Set up an equation and solve the following problem. Suppose that Karen, riding her bicycle at 14 miles per hour, rode 10 miles farther than Michelle, who was riding her bicycle at 12 miles per hour. Karen rode for 30 minutes longer than Michelle. How long (in hours) did Michelle ride her bicycle?
A) 1.85 hours
B) 1.7 hours
C) 1.5 hours
D) 1.55 hours

Question

Quizplus · Accepted Answer

Let the time Michelle rode be $t$ hours. Then, Karen rode for $t + 0.5$ hours. The distance Karen rode is 10 miles more than Michelle. So, for Karen, distance $= 14(t + 0.5)$ and for Michelle, distance $= 12t$. Setting up the equation: $14(t + 0.5) = 12t + 10$. Solving for $t$ gives $t = 1.5$ hours.

Set Up an Equation and Solve the Following Problem