A man flies a small airplane from Fargo to Bismarck l

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 hour and 30 minutes. What is the plane's speed in still air, and how fast is the wind blowing?

Answer 1

distans=180 miles

180/(P-w)=2 ours

180/(p+w)=1.5 ours

180=2*(p-w)=1.5*(p+w)

2p-2w=1.5p+2w

2p-1.5p=4w

0.5p=4w

p=8w

180=2*(p-w)=2*(8w-w)=2*7w,

w=180/14

wind=12.857142 MPH

plane=8w=102.85713