Problema Solution

If a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind, find the speed of the plane still in the air.

Answer provided by our tutors

let


v = the speed of the plane in still air

w = the speed of the wind


a plane can travel 480 miles per hour with the wind


v + w = 480


a plane can travel 420 miles per hour against the wind


v - w = 420


by solving the system of equations


v + w = 480

v - w = 420


we find


v = 450 mph


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the speed of the plane in still air is 450 mph.