Math I needed a answer quick

Question

An airplane travels 5096 kilometers against the wind in 7 hours and 5796 kilometers with the wind in the same amount of time. What is the rate of the plane still air and what is the rate of the wind ?

Answer 1

5096 km against the wind

5796 km with the wind in the same time

how fast in still air? how fast the wind?

w= wind speed, r = plane speed in still air

distance = rate of speed times time, d=st, t = d/s s=r + or -w

5076/(r-w) = 5796/(r+w) = t = 7

r+w = 5796/7 = 828

r-w = 5076/7 = 725.14

add to get

2r = 1553.14

r = 1553.14/2 = 776.57 km/hr = plane speed in still air

r+w = 828

r-w =725.14

subtract to get

2w =102.86

w = 51.43 km/hr = wind speed