SOLUTION: a turboprop plane flying with the wind flew 800 miles in 4 hrs. Flying against the wind, the plane required 5 hours to travel the same distance. Find the rate of the plane in calm

Algebra ->  Equations -> SOLUTION: a turboprop plane flying with the wind flew 800 miles in 4 hrs. Flying against the wind, the plane required 5 hours to travel the same distance. Find the rate of the plane in calm       Log On


   

Question 164423: a turboprop plane flying with the wind flew 800 miles in 4 hrs. Flying against the wind, the plane required 5 hours to travel the same distance. Find the rate of the plane in calm air and the rate of the wind?
What are the steps I need to solve this problem???
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Distance
Rate with wind = Speed of Plane in calm air + Speed of Wind=R%5Bw%5D=P%2BW
Rate against wind = Speed of Plane in calm air - Speed of Wind=R%5Ba%5D=P-W
Distance is the same in both cases.
Time with : T%5Bw%5D=4
Time against : T%5Ba%5D=5
Distance : D=800
Generate your two rate equations in terms of P and W and the known quantitites.
Solve for P and W.