SOLUTION: an airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the w

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Question 317632: an airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?
Found 2 solutions by Alan3354, checkley77:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
an airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?
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2277/3 = 759 km/hr
2667/3 = 889 km/hr
The plane's airspeed is the average.
(759+889)/2 = 824 km/hr
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The wind speed is the difference, = 889 - 824
Wind speed = 65 km/hr

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
2277=R*5
5R=2277
T=2277/5
T=455.4 KM/H. AGAINST THE WIND.
2667=R*5
5T=2667
T=2667/5
R=533.4 KM/H WITH THW WIND.
(533.4-455.4)/2=78/2=39 KM/H IS THE WIND SPEED.
533.4-39=494.4 KM/H IS THE SPEED OF THE PLANE IN STILL AIR.
455.4+39=494.4 DITTO.