A plane can fly 260 miles in the same time as it takes a car to go 110 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.
A)116 mph
B)146 mph
C)126 mph
D)156 mph
E)136 mph

Question

Quizplus · Accepted Answer

Let the speed of the plane be x mph. Then the speed of the car is (x - 90) mph. Since time is distance divided by speed, the time for the plane is 260/x and for the car is 110/(x - 90). Setting these equal gives 260/x = 110/(x - 90). Solving this equation for x gives x = 156 mph.

A Plane Can Fly 260 Miles in the Same Time