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

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!
6.25*(x-w)=3000,
3000=5*(x+w)
w=60., x=540.
Answer by josgarithmetic(39620) (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
RELATED QUESTIONS
An airplane flying into a headwind travels the 2080-mile flying distance between two... (answered by Alan3354,ikleyn,josgarithmetic)
an airplane flying into a headwind travels 3000 miles in 6 hours and 15 minutes. on the... (answered by checkley77)
an airplane flying into a headwind travels the 1800-mile flying distance between two... (answered by lwsshak3)
An airplane flying headwind travels the 1800 mile flying distance between two cities in 3 (answered by stanbon)
An airplane flying headwind travels the 1620 mile flying distance between two cities in 3 (answered by josgarithmetic)
An airplane flying into a headwind travels 248 miles in 2 hours and 35 minutes. On the... (answered by josgarithmetic)
An airplane flying into a headwind travels 3400 miles in 6 hours and 15 minutes. On the... (answered by josgarithmetic)
An airplane flying into a head wind travels the 2400 miles flying distance between two... (answered by mananth,ikleyn)
An airplane is flying into a headwind travels the 1800 mi flying distance between New... (answered by lwsshak3)