A private jet flies the same distance in 9 hours that a commercial jet flies in 8 hours. If the speed of the commercial jet was 175mph less than 2 times the speed of the private jet, find the speed of each jet.

Private jet is 200 mph

Commercial jet is 225 mph

Explanation:

Let the speed of private jet be x mph therefore the speed of commercial jet will be 2x-175 mph

The distance is the same

Speed is distance per unit time hence distance is product of speed and time

Distance by private jet is 9x

Distance by commercial jet is 8 (2x-175)

Since the distance is the same

9x=8 (2x-175)

9x=16x-1400

7x=1400

X=200

Then 2x-175 = 400-175=225

Speed of private jet is 200 mph while commercial jet is 225 mph