Question

flying into the wind, a plane take 6h to fly 3000 km. On the return flight, with the same wind, the plane takes 5 h to complete the trip. How fast does the plane fly without any wind, and how fast was the wind blowing?

Answer 1

3000 = (p-w)6
3000 = (p+w)5

p is plane speed
w is wind speed


two equations and two unknowns. solve for w

Answer 2

3000/6 = p-w
3000/5 = p+w

2w = 100
w = 50 kmph

Answer 3

let speed of wind=w and speed of plane alone=p
now we know ,distance=speed x time
let distance=x (w+p) x 6 hours=3000 km
and (p-w) x 5 hours =3000 km
6w+6p=3000=5p-5w
p=3000=-11w
lets take p=-11w
5(p-w)=3000
5(-12w)=3000
-60w=3000
w=50 km/hr