SOLUTION: Toga flew her ultralight plane to a landing field 24 miles away. With the wind, the flight took 2/5 of an hour. Returning against the wind, the flight took 3/4 of an hour. Find the

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Toga flew her ultralight plane to a landing field 24 miles away. With the wind, the flight took 2/5 of an hour. Returning against the wind, the flight took 3/4 of an hour. Find the      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 377830: Toga flew her ultralight plane to a landing field 24 miles away. With the wind, the flight took 2/5 of an hour. Returning against the wind, the flight took 3/4 of an hour. Find the rate of the plane in still air and the rate of the wind.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = the wind speed
Let s = the speed of the plane in still air
With the wind:
Speed = 24%2F.4+=+60
Against the wind:
Speed = 24%2F.75+=+32
--------------------
s+%2B+w+=+60
s+-+w+=+32
Add the equations
2s+=+92
s+=+46
and
46+%2B+w+=+60
w+=+14
The plane's speed in still air is 46 mi/hr and
the wind speed is 14 mi/hr