SOLUTION: Problem: With a head wind, a plane travled 1000 mi in 4 h. With the same wind as a tail wind, the return trip took 3 h 20min. Fine the plane's air speed and wind speed. Okay s

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Problem: With a head wind, a plane travled 1000 mi in 4 h. With the same wind as a tail wind, the return trip took 3 h 20min. Fine the plane's air speed and wind speed. Okay s      Log On

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Question 525985: Problem: With a head wind, a plane travled 1000 mi in 4 h. With the same wind as a tail wind, the return trip took 3 h 20min. Fine the plane's air speed and wind speed.
Okay so i know this is a box problem.
i think? im not for sure?
im not very good at these problems
and i get confused alot.
if you can help me thank you very very very much!
:)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let plane speed be x mph
wind speed be y mph
1000miles in 4 hours with head wind
=250 mph
x-y = 250
return trip 3 hours 20 minutes=> 3 1/3 hours =>10/3 hours
1000/(10/3)
1000*3/10
=300
x+y= 300
add the two equations
2x=550
x= 225 mph plane speed
wind speed = 25 mph (x+y=250)