Solve the problem.
-On a recent trip, Sarah's car traveled 20 mph faster on the first 110 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarah's car on the first part of the trip.

Question

Quizplus · Accepted Answer

The speed for the first part of the trip is 58 mph. To solve this, let's denote the speed on the remaining part as x mph. Therefore, the speed on the first part is x + 20 mph. The time to cover the first 110 miles is 110 / (x + 20), and the time to cover the remaining 80 miles is 80 / x. According to the problem, the total time is 4 hours, so we have the equation 110 / (x + 20) + 80 / x = 4. Solving this equation for x gives the speed on the remaining part, and adding 20 to this speed gives the speed on the first part, which is 58 mph.

Solve the Problem. -On a Recent Trip, Sarah's Car Traveled 20 Mph Faster