Solve.
-A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the
Mountains.
A)20 mph
B)50 mph
C)40 mph
D)80 mph

Question

Quizplus · Accepted Answer

The rate of the car is 30 miles per hour less in the mountains than on level ground. So, if the rate on level ground is x, then the rate in the mountains is x - 30.We know that the car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. So, we can write:400/x = 160/(x - 30)Solving for x, we get:x = 60So, the rate of the car on level ground is 60 mph, and the rate of the car in the mountains is 60 - 30 = 30 mph.

Solve. -A Car Travels 400 Miles on Level Terrain in the the Same