A plane can fly 320 miles in the same time as it takes a car to go 100 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.

Answer 1

Distance = (Rate)(Time), so Time = Distance / Rate

Let x = speed of the plane. Then, x - 110 = speed of car

Since Time of plane = Time of car, we have 320 / x = 100 / (x - 110)

Cross multiply to get 320(x - 110) = 100x

220x = 35200

x = 160 mph

Answer 2

320/t=s

100/t=s2

s2=320/t-110/t=210/t

Plane speed is given. The difference=110mph.