Flying against the wind, a jet travels miles in hours. Flying with the wind, the same jet travels miles in hours. What is the rate of the jet in still air and what is the rate of the wind?

Question

Flying against the wind, a jet travels 4620

 miles in 6

 hours. Flying with the wind, the same jet travels 7630

 miles in 7

 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answer 1

6(J-w) = 4620

6(J+w) = 7630 add to eliminate w

12J = 12250

J = 12250/12 = 1,020.8333... mph = jet speed without wind

6J-6W = 4620

6W = 12250/2 -4620 = 1505

W = 1505/6 = 250.8333... mph = wind speed (kind of breezy)