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?

Respuesta :

Step-by-step explanation:

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

[tex]average \: speed = \frac{total \: distance }{total \: time} [/tex]

(A)

[tex]speed \: against \: wind( v - w) = \frac{2100}{6} = 350mph[/tex]

(B)

[tex]speed \: with \: wind(v + w) = \frac{2100}{4} = 525mph[/tex]

(C)

Adding equations A and B, we get :

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

2v = 875

V = 437.5 mph