what is the speed of the wind?

Question

With the wind, a plane can fly 1615 miles in 3.5 hours. Against the same wind, the trip takes 4
hours. If the airspeed of the plane is 444 mph, what is the speed of the wind?

Answer 1

distance = speed times time, d=rt, 1615 = (r+w)(3.5)

1615=(r-w)(4)

(r-w)4 = (r+w)(3.5)

plane speed minus wind speed times 4 = plane speed plus wind speed times 3.5

444-w)(4) = (444+w)(3.5

1776-4w = 1554 +3.5w

1776-1554 = 7.5 w

222 =7.5w

w = 222/7,5 = 29 1/3 mph for the wind speed

check the answer

1776-4(29 1/3) = a little more than 1776-120 = 1656, rounding 29 1/3 up to 30

1554+3.5(29 1/3) = a little less than 1554-105= 1659

there's an error in the problem where it says total distance one way was 1615 miles, that's inconsistent with the rest of the given information