Flying against the wind a jet travels 2680 mi in 4 hours Fly

Flying against the wind, a jet travels 2680 mi in 4 hours. Flying with the wind, the same jet travels 6230 mi in 7 hours. What is the rate of the jet in still air and what is the rate of the wind? Rate of the jet in still air:Imi/h Rate of the wind: mi/h Clear Undo Help I don\'t know Next 2 Total time remaining: 9 hrs 58 mins

Solution

Let x = speed of jet

y = speed of wind

d = rt

4x - 4y = 2680

7x + 7y = 6230.....[multiplying through 4/7 to eliminate y]

4x - 4y = 2680

4x + 4y = 3560

8x = 6240

x = 6240/8

x = 780 mph..speed of jet

4*780 - 4y = 2680

3120 - 4y = 2680

4y = 3120 - 2680

4y = 440

y = 110mph.....speed of wind