Can anyone help

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 two hours. On the way back, the wind is still blowing at the same speed so the return trip only take one hour. What is the plane’s speed in still air, and how fast is the wind blowing?

Answer 1

Let S_p = Speed of the plane

S_w = Speed of the wind

Note,

Speed = Distance/Time

When the plane is flying with the wind, the speeds combine so (S_p + S_w)( 1 hour) = 180 miles

When the plane is flying against the wind, the speeds subtract so (S_p - S_w)(2 hours) = 180 miles

Solving together, we get S_p = 135 mph and S_w = 45 mph