SOLUTION: A Plane takes 6 hours to fly from Vancouver to Toronto and 5 hours to return back. The airspeed is 550km/hr, from Vancouver to Toronto. The reason why it takes the airplane longer

Question 856778: A Plane takes 6 hours to fly from Vancouver to Toronto and 5 hours to return back. The airspeed is 550km/hr, from Vancouver to Toronto. The reason why it takes the airplane longer to go west to east is because of a wind, with constant wind speed. What is the speed of the wind?
Any help would be greatly appreciated,as i have no idea how to work this out. All i know is the answer is 50km/hr. Thankyou.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A Plane takes 6 hours to fly from Vancouver to Toronto and 5 hours to return back. The airspeed is 550km/hr, from Vancouver to Toronto. The reason why it takes the airplane longer to go west to east is because of a wind, with constant wind speed. What is the speed of the wind?
***
let x=speed of plane in still air
let c=speed of wind
x+c=speed of plane with the wind
x-c=speed of plane against the wind
travel time=distance/speed
..
distance=6*550=3300 km
..
6=3300/(x-c)
5=3300/(x+c)
..
6x-6c=3300
5x+5c=3300
..
30x-30c=16500
30x+30c=19800
subtract
60c=3300
c=55
speed of wind=55 km/hr

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