Solve the problem.
-On a recent trip, Sarahʹs car traveled 20 mph faster on the first 150 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarahʹs car on the first
Part of the trip.

Question

Quizplus · Accepted Answer

The speed for the first part of the trip can be found by setting up an equation based on the given information. Let x be the speed (in mph) for the second part of the trip. Then, the speed for the first part of the trip is x + 20 mph. The time to cover the first 150 miles is 150/(x + 20) hours, and the time to cover the remaining 80 miles is 80/x hours. The total time for the trip is 4 hours, so the equation is 150/(x + 20) + 80/x = 4. Solving this equation for x gives the speed for the second part of the trip, and adding 20 to this speed gives the speed for the first part of the trip, which is 66 mph.

Solve the Problem. -On a Recent Trip, Sarahʹs Car Traveled 20 Mph Faster