Ajet travels 3255 miles against a jetstream in 5 hours and 4055 miles with the jetstream in the same amount of time. what is the rate of the jet in still air and what is the rate of the jetstream?

Speed against jetstream = 3255/5 = 651 mph.
Speed with the jetstream = 4055/5 = 811 mph.
Let still air speed of plane be s, and let speed of the jetstream be j.
s - j = 651 (1)
s + j = 811 (2)
Adding equations (1) and (2), we get:
2s = 1462
s = 731 mph
Plugging the value of s into equation (2) gives:
731 + j = 811
j = 80 mph
The rate of the jet in still air is 731 mph and the rate of the jetstream is 80 mph.