SOLUTION: Christie pilots her plane for 300 mi against a headwind in 2 hrs. The flight would take 1 hr and 30 mins with a tailwind of the same speed. Find the Headwind and the speed of the p

Question 993954: Christie pilots her plane for 300 mi against a headwind in 2 hrs. The flight would take 1 hr and 30 mins with a tailwind of the same speed. Find the Headwind and the speed of the plane in still air.
The speed of the headwind on the plane is ___mph and the speed of the plane in still air is ___mph.
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Christie pilots her plane for 300 mi against a headwind in 2 hrs. The flight would take 1 hr and 30 mins with a tailwind of the same speed. Find the Headwind and the speed of the plane in still air.
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find the 2 groundspeeds, upwind and downwind.
The plane's airspeed is the average of the 2.
The windspeed is the difference between airspeed and groundspeed.
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We don't need this:
The speed of the headwind on the plane is ___mph and the speed of the plane in still air is ___mph.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
plane's speed in calm air=x
wind speed=w
x-w=150 ;; 300 miles in 2 hours is 150 mph
For x+w, we know that 300 miles is done in 3/2 hours. That is 200 mph.
Therefore
x-w=150
x+w=200
2x=350
x=175 mph, speed of plane in still air.
wind speed is 25 mph (headwind/tailwind)
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