SOLUTION: "a plane travels 8400 km against the wind in 7 hours. with the wind, the plane makes the return trip in 6 hours. find the speed of the plane in still air and the speed of the wind.

Question 944043: "a plane travels 8400 km against the wind in 7 hours. with the wind, the plane makes the return trip in 6 hours. find the speed of the plane in still air and the speed of the wind."
i know the variables are 8400 km, 7 hours and 6 hours, but im really confused on how to set up the equation for this problem.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a plane travels 8400 km against the wind in 7 hours. with the wind, the plane makes the return trip in 6 hours. find the speed of the plane in still air and the speed of the wind."
-------------
Against::
dist = 8400 ; time = 7 hrs ; time = 8400/7 = 1200 mph
-----
With::
dist = 8400 ; time = 6 hrs ; time = 8400/6 = 1400 mp
-----
Equations:
Against:: p - w = 1200
With:::: p + w = 1400
-----
Add and solve for "p"
2p = 2600
plane speed = 1300 mph (speed in still air)
------
Subtract and solve for "w"
2w = 200
w = 100 mph (speed of the wind)
-------------
Cheers,
Stan H.
-------------

RELATED QUESTIONS
A plane traveling with the wind travels 700 miles in 5 hours. The return trip is against... (answered by ewatrrr)

a plane flies 1440 miles with a tail wind in 4 hours. The plane makes the return trip... (answered by mananth)

An airplane travels against a 52.5 mph wind in 5 hours and it makes the return trip with... (answered by mananth)

A plane traveling with the wind travels 1100 miles in 5 hours. The return trip is against (answered by josgarithmetic)

A plane traveling with the wind travels 1100 miles in 5 hours. The return trip is against (answered by Alan3354)

An airplane travels 5 hours with a 35mi/h tail wind. The return trip against the same... (answered by chrisrao)

a plane travels 1600 miles against the wind in 10 hours and makes the return trip with... (answered by josgarithmetic)

A new plane cruises at a speed of 400 m.p.h. If it makes a trip in 7 hours with a strong (answered by Boreal)

A plane flying with the wind went 350 miles in 2 hours. The return trip, flying against... (answered by Alan3354)