SOLUTION: If a plane can travel 380 miles per hour with the wind and only 280 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.

Question 505826: If a plane can travel 380 miles per hour with the wind and only 280 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
If a plane can travel 380 miles per hour with the wind and only 280 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air
Let
Speed of wind = w
Speed of Plane= p
Speed with the wind
Speed (wind + plane) = 380
w+p=380 .............(1)

Speed against the wind
Speed (plane - wind)= 280
p-w=280 ................(2)
Add (1) and (2)
w+p=380
p-w=280
---------
2p=660
Divide by 2 both sides of above equation, we have
2p/2=660/2
p=330
Put the value of p in (1)

w+p=380
w+330=380
w=380-330
w=50

Speed of wind = w = 50 mph
Speed of Plane= p = 330 mph

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