SOLUTION: A plane flies from Chicago to Los Angeles, A distance of 2000 miles, in 4 hours. It flies against a 50 mile per hour wind. The plane flies the return trip from Las Angles back to C

Question 1007343: A plane flies from Chicago to Los Angeles, A distance of 2000 miles, in 4 hours. It flies against a 50 mile per hour wind. The plane flies the return trip from Las Angles back to Chicago in 3 and 1/3 hours. Find the speed of the plane in still air.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A plane flies from Chicago to Los Angeles, A distance of 2000 miles, in 4 hours. It flies against a 50 mile per hour wind. The plane flies the return trip from Las Angles back to Chicago in 3 and 1/3 hours. Find the speed of the plane in still air.
3 1/3 hrs=10/3 hrs
let x=speed of plane in still air
x+50=speed of plane with the wind
x-50=speed of plane against the wind
travel time*speed=distance(same for both directions)
4(x-50)=10/3(x-50)
12(x-50)=10(x+50)
12x-600=10x+500
2x=1100
x=550
speed of plane in still air=550 mph
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