Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Janel Leith drives her moped for a number of hours at 20 miles per hour. When traffic slows, she drives at 10 miles per hour. She travels at 10 miles per hour for one-half hour longer than she traveled at 20 miles per hour.
The difference in the distance traveled at 10 mph and 20 mph is 19 miles. Determine how long Janel traveled at
10 miles per hour.
A) 1.9 hr
B) 1.27 hr
C) 3.8 hr
D) 0.95 hr

Question

Quizplus · Accepted Answer

Let the time Janel traveled at 20 mph be $t$ hours. Therefore, she traveled at 10 mph for $t + 0.5$ hours. The distance traveled at 20 mph is $20t$ miles, and at 10 mph is $10(t + 0.5)$ miles. The difference in distance is given as 19 miles, so we set up the equation: $20t - 10(t + 0.5) = 19$. Solving this equation gives $t = 1.4$ hours. Thus, the time traveled at 10 mph is $t + 0.5 = 1.4 + 0.5 = 1.9$ hours.

Set Up an Equation That Can Be Used to Solve