Find the speed in still air and the rate of the wind?

Question

An airplane travels 2456 km against the wind in 4 hours and 3176 km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answer 1

R is the speed of the plane

S is the speed of the wind

2456 = 4 * (R-S) = 4R - 4S

3176 = 4 ( R+S) = 4R + 4S

5632 = 8R

R = 5632/8 = 704

2456 = 4 * (704 - S)

2456 = 2816 - 4S

-360 = -4S

S = 90