Answer: speed of plane is 69/miles per hour
Speed of wind is 23 miles per hour
Step-by-step explanation:
Let x represent the speed of the plane.
Let y represent the speed of the wind.
A plane traveled 1012 miles each way to Warsaw and back. The trip there was with wind. It took 11 hours.
This means that the speed is x+y miles/hour. Therefore
1012 = 11(x+y)
1012 = 11x + 11y - - - - - - - - 1
The trip back was into wind. The trip back took 22 hours.
Since it flew against the wind, the speed would be x-y km/hour
Distance = speed × time. Therefore
1012 = 22(x - y )
1012 = 22x - 22y
Dividing through by 2
506 = 11x - 11y- - - - - - - - - 2
Adding equation 1 and equation 2, it becomes
1518 = 22x
x = 1518/22 = 69
Substituting x = 69 into
1012 = 22(x - y )
x - y = 1012/622= 46
y = 69 - 46 = 23
