SOLUTION: In 2.5 hours an airplane travels 1150 km against the wind. It takes 50 mins to travel 450 km with the wind. find the speed of the wind and the speed of the airplane in still air.

Question 886844: In 2.5 hours an airplane travels 1150 km against the wind. It takes 50 mins to travel 450 km with the wind. find the speed of the wind and the speed of the airplane in still air.
Found 2 solutions by verclau, Alan3354:
Answer by verclau(6) (Show Source): You can put this solution on YOUR website!
So you note the speed of airplane with Va and the speed of wind with Vw and you have the formula v=distance/time=d/t and from the problem you have Va-Vw=1150km/2.5h=460km/h and Va+Vw=450km/(5/6)h=540km/h and now you have 2 equations which you add them and obtain 2Va-Vw+Vw=1000km/h => Va=500km/h the speed of airplane and Vw=540-Va=40km/h the speed of wind.Done.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the 2 groundspeeds, upwind and downwind.
The plane's airspeed is the average of them.
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The windspeed is the difference between airspeed and groundspeed.
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