SOLUTION: A certain aircraft can fly 1280 miles with the wind in 4 hours and travel the same distance against the wind in 8 hours. What is the speed of the wind? Can you please show me st

Algebra ->  Human-and-algebraic-language -> SOLUTION: A certain aircraft can fly 1280 miles with the wind in 4 hours and travel the same distance against the wind in 8 hours. What is the speed of the wind? Can you please show me st      Log On


   

Question 540651: A certain aircraft can fly 1280 miles with the wind in 4 hours and travel the same distance against the wind in 8 hours. What is the speed of the wind?
Can you please show me step by step so i know how to do it? thanks
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
r = d / t

a + w = 1280 / 4 ___ a + w = 320

a - w = 1280 / 8 ___ a - w = 160

adding the equations eliminates w ___ 2a = 480 ___ a = 240

substituting ___ (240) + w = 320 ___ w = 80