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 12 minutes. What is
his speed in still air, and how fast is the wind blowing?

Answer 1

let Vp=velocity of the plane
Vw=velocity of the wind

Vp-Vw=180miles/2hrs ----eqn 1
Vp=Vw+90mph ----eqn 2

Vp+Vw=180miles/1.2hrs
Vp+Vw=150mph ------eqn 3

substitute eqn 2 to 3
Vw+90mph+Vw=150mph
2Vw=150-90
Vw=30mph

substitute Vw to eqn 3
Vp+30mph=150mph
Vp=150-30
Vp=120

Answer 2

thank you!!!

Answer 3

yw