Problema Solution
if a plane can travel 510 miles per hour with wind and 410 miles per hour against wind, find the speed of the plane in still air
Answer provided by our tutors
let
x = the speed of the plane in still air
w = the speed of the wind
plane can travel 510 miles per hour with wind
x + w = 510
plane can travel 410 miles per hour against wind
x - w = 410
by solving the system of equations
x + w = 510
x - w = 410
we find
x = 460 miles per hour
w = 50 miles per hour
The speed of the plane in still air is 460 miles per hour.