Question

A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hours. What is the plane's speed in still air, and how fast is the wind blowing?

Answer 1

Plane's speed --- x mph
wind speed ----- y mph

2(x-y) = 180
x-y = 90

1(x+y) = 180
x+y = 180
add them: 2x = 270
x = 135

back in x+y= 180
135+y=180
y = 45

state a proper conclusion.