SOLUTION: With a head wind, a plane traveled 1000 miles in 4 hours. with the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed and the wind speed.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: With a head wind, a plane traveled 1000 miles in 4 hours. with the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed and the wind speed.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 306969: With a head wind, a plane traveled 1000 miles in 4 hours. with the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed and the wind speed.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
p - w = 1000/4 = 250

p + w = 1000/(10/3) = 300

adding equations ___ 2p = 550 ___ p = 275

substituting ___ 275 + w = 300 ___ w = 25