A private jet flies the same distance in 4 hours that a commercial jet flies in 2 hours. If the spee

[math_celebrity]

A private jet flies the same distance in 4 hours that a commercial jet flies in 2 hours. If the speed of the commercial jet was 154 mph less than 3 times the speed of the private jet, find the speed of each jet.

Let p = private jet speed and c = commercial jet speed. We have two equations:
(1) c = 3p - 154
(2) 4p =2c

Plug (1) into (2):
4p = 2(3p - 154)
4p = 6p - 308

Subtract 4p from each side:
2p - 308 = 0

Add 308 to each side:
2p = 308

Divide each side by 2:
p = 154

Substitute this into (1)
c = 3(154) - 154
c = 462 - 154
c = 308