Question

a plane can fly 480 miles in the same as it takes a car to go 150 miles. if a car travels 110 mph slower than a plane find the speed of the plane

Answer 1

160 mph

Explanation:

Speed is the rate of change of distance with time. Mathematically,

Speed = Distance / time

Hence time

= Distance / Speed

Given that the speed of the car is 110 mph slower than that of a plane, let the speed of the car be y mph hence the speed of the plane

= (y + 110) mph

Since the time spent by the plane and the car in covering 480 miles and 150 miles respectively is the same,

480/ (y + 110) = 150 / y

480y = 150 y + 16500

330y = 16500

y = 50

The speed of the plane

= 50 + 110

= 160 mph