SOLUTION: Flying against the wind, an airplane travels 2280km in 3 hours. Flying with the wind, the same plane travels 6100km in 5 hours. What is the rate of the plane in still air and what

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Flying against the wind, an airplane travels 2280km in 3 hours. Flying with the wind, the same plane travels 6100km in 5 hours. What is the rate of the plane in still air and what       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 324746: Flying against the wind, an airplane travels 2280km in 3 hours. Flying with the wind, the same plane travels 6100km in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Seems familiar.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
Let P be the rate of the plane in still air.
Let W be the rate of the wind.
%28P-W%293=2280
1.P-W=760
.
.
.
%28P%2BW%295=6100
2.P%2BW=1220
.
.
.
Add eq. 1 and eq. 2 to eliminate W.
2P=1980
highlight%28P=990%29kph
Then from eq. 1,
990-W=760
highlight%28W=230%29kph