Question

a plane traveled 3927 miles with the wind in 7 hours and 3437 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

Answer 1

speed of plane --- x

speed of wind ---- y

3927/(x+y ) = 7 ---> 7x + 7y = 3927
3437/(x-y) = 7 ----> 7x - 7y = 3437
add them
14x = 7364
x = 526
then
but subbing in x - 526 into either equation
y = 34