SOLUTION: An airplane flying into a headwind travels the 3000 mile distance between two cities in 6 hours and 15 minutes. On the return flight, with the wind, the trip was 5 hours. Find the
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: An airplane flying into a headwind travels the 3000 mile distance between two cities in 6 hours and 15 minutes. On the return flight, with the wind, the trip was 5 hours. Find the
Log On
Question 810796: An airplane flying into a headwind travels the 3000 mile distance between two cities in 6 hours and 15 minutes. On the return flight, with the wind, the trip was 5 hours. Find the speed of the plane in still air and the speed of the wind, assuming they are constant throughout the trip.
Solve using a system of equations. Found 2 solutions by richwmiller, josgarithmetic:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! Related to Wind__________speed_______________time____________distance
Into_____________________(r-w)____________________3000
With_____________________(r+w)_______________5_______________3000
Variables assigned were r for speed without wind and w for speed of the wind.
Using R*T=D idea, R=D/T.
Related to Wind__________speed_______________time____________distance
Into_____________________()____________________3000
With_____________________()_______________5_______________3000
The needed system of equations is shown under the "speed" column of the data table. The best way to handle them would be as and
(