A private jet flies the same distance in 10 hours that a commercial jet flies in 8 hours. If the speed of the commercial jet was 162 mph less than 2 times the speed of the private jet, find the speed of each jet.

Commercial jet's speed = 2x-162 (plug this in the equation below)

Private jet's speed = x

Equation:

10(x) = 8(2x-162)
10x = 16x - 1296
6x = 1296
x = 216 (Private jet's speed)

Take the first equation and plug x value in;
2x-162
2(216) - 162 = 270 ( Commercial jet's speed)