Solve.
-An express train travels 398 miles between two cities. During the first 80 miles of a trip, the train traveled through mountainous terrain. The train traveled 13 miles per hour slower through Mountainous terrain than through level terrain. If the total time to travel between the cities was 8 Hours, find the speed of the train on level terrain.
A) 53 mph
B) 27 mph
C) 40 mph
D) 66 mph

Question

Quizplus · Accepted Answer

The speed on level terrain is 53 mph. To solve, let the speed on level terrain be x mph. Then, the speed in mountainous terrain is (x - 13) mph. The time to travel through mountainous terrain is 80/(x - 13) hours, and the time to travel through level terrain is (398 - 80)/x = 318/x hours. The total time is 8 hours, so 80/(x - 13) + 318/x = 8. Solving this equation for x gives x = 53 mph.

Solve. -An Express Train Travels 398 Miles Between Two Cities. During