Solve the problem.
-In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took $$\frac { 1 } { 2 }$$ hour longer. How far did she travel to the
Appointment?
A) 100 mi
B) 80 mi
C) 30 mi
D) 2 mi

Question

Quizplus · Accepted Answer

The distance to the appointment can be found by setting up an equation based on the formula $d = rt$, where $d$ is distance, $r$ is rate, and $t$ is time. Let $d$ be the distance to the appointment. The time to get to the appointment is $d/50$ and the time to return is $d/40$. According to the problem, the return trip took $\frac{1}{2}$ hour longer, so $d/40 = d/50 + 1/2$. Solving this equation for $d$ gives $d = 100$ miles.

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