An airplane can travel 425 mph in still air. If it travels 1772 miles with the wind in the same length of time it travels 1628 miles against the wind, what is the speed of the wind

Answer 1

Rate * Time = Distance

With the wind: (425 + w) * t = 1772

t = 1772/(425+w)

Against the wind (425 - w) * t = 1628

t = 1628/(425-w)

The two times are equal so you can equate the right side of the equations and solve for w.