Question

if a plane can travel 520 miles per hour with the wind at 420 miles per hour against the wind, find the speed of the plane without wind and with wind?

Answer 1

take the average of the two speeds to find the planes static speed capability.

Answer 2

now how do i get speed with no wind?
I meant speed of wind....long study might

Answer 3

if a plane is flying at 100mph directly into a 20mph wind, the plane's ground speed = 80mph. If it is directly against or with the wind it is a 1 to 1 gain or loss. If the wind is at a vector, then trig formulas will come into play.

Answer 4

So you have the plan'es actual speed without wind from average above, and you have it's ground speed with, and against the wind, easy to solve for wind speed.

Answer 5

Now x is the speed of the plane without the wind, a is the speed of wind.
x-a= 420mph
x+a= 520mph
two unknowns, two equations.

Answer 6

Thanks all...glad I stumbled onto this site