Asked by Anonymous
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.
Answers
Answered by
Reiny
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
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