A plane can fly 960 miles in the same time as it takes a car to go 360 miles. If the car travels 100 mph slower than the plane, find the speed of the plane.

Answer 1

v = speed of plane

v - 100 = speed of car

t = travel time (same for both)

vt = 960

(v - 100)t = 360

Divide bottom equation by top equation to eliminate t, and solve for v.

(v - 100) / v = 360 / 960 = 0.375

v - 100 = 0.375v

v(1 - 0.375) = 100

v = 160 mph