Answer: speed of plane is 60/miles per hour
Speed of wind is 20 miles per hour
Explanation:
Let x represent the speed of the plane.
Let y represent the speed of the wind.
A plane traveled 240 miles. The trip was with the wind. It took 3 hours.
This means that the speed is x+y miles/hour. Therefore
240 = 3(x+y)
240 = 3x + 3y - - - - - - - - 1
The trip back was into the wind.
The trip back took 6 hours.
Since it flew against the wind, the speed would be x-y km/hour
Distance = speed × time. Therefore
240 = 6(x - y )
240 = 6x - 6y
Dividing through by 2
120 = 3x - 3y- - - - - - - - - 2
Adding equation 1 and equation 2, it becomes
360 = 6x
x = 360/6 = 60
Substituting x = 60 into
240 = 6(x - y )
x - y = 240/6 = 40
y = 60 - 40 = 20