Larry drove 360 miles in 2 hour more than it took Terrell to drive 300 miles. Terrell drove at an average rate of 5 miles per hour faster than Larry. How fast did Larry travel?
A) 42 mph
B) 49 mph
C) 46 mph
D) 45 mph
E) 40 mph

Question

Quizplus · Accepted Answer

Larry's speed can be found by setting up equations based on the distance = rate × time formula. Let $x$ be Larry's speed in mph. Then Terrell's speed is $x + 5$ mph. If $t$ is the time it took Terrell to drive 300 miles, then Larry drove for $t + 2$ hours. The equations are $360 = x(t + 2)$ and $300 = (x + 5)t$. Solving these equations simultaneously, we find that Larry's speed $x = 45$ mph.

Larry Drove 360 Miles in 2 Hour More Than It