A jet travels 3426 Miles against the wind in 6 hours and 4026 miles with the wind in the same amount of time what is the rate of the jet in still air

Question

A jet travels 3426 miles against the wind in six hours and 4026 miles with the wind in the same amount of time what is the rate of the jet and still air and what is the rate of the wind

Answer 1

3426 = (R-s)*6 = 6r - 6s

 

4026  = (R+s)*6 = 6r + 6s

 

7452 = 12r

 

r=621 --->  s=50 after plugging into the first equation

 

 

note that 6*(621+50) = 6*671 = 4026