Question

at a maximum speed an airplane travels 2100 miles against the wind in 6 hours. Flying with the wind, the plane travel the same distance in 4 hours. what is the speed of the plane with no wind?

Answer 1

Explanation:

Let w be the speed of wind and v be speed of airplane without wind.

`average \: speed = (total \: distance )/(total \: time)`

(A)

`speed \: against \: wind( v - w) = (2100)/(6) = 350mph`

(B)

`speed \: with \: wind(v + w) = (2100)/(4) = 525mph`

(C)

Adding equations A and B, we get :

(v - w) + (v + w) = 350 + 525

2v = 875

V = 437.5 mph