SOLUTION: While taking a trip to Seattle, a plane flies against the wind 288 miles and then returns home with the same wind. In calm wind, the plane can fly 300mph. If the total flying time

Algebra ->  Equations -> SOLUTION: While taking a trip to Seattle, a plane flies against the wind 288 miles and then returns home with the same wind. In calm wind, the plane can fly 300mph. If the total flying time       Log On


   

Question 1177849: While taking a trip to Seattle, a plane flies against the wind 288 miles and then returns home with the same wind. In calm wind, the plane can fly 300mph. If the total flying time was 2 hours, what is the speed of the wind?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
While taking a trip to Seattle, a plane flies against the wind 288 miles and then returns home with the same wind. In calm wind, the plane can fly 300mph. If the total flying time was 2 hours, what is the speed of the wind?
let wind speed be x mph
headwind speed = 300-x
tailwind speed = 300+x
distance =288
Time =2 hours
time to seattle and return =2
288/(300-x) + 288/(300+x)=2
(288(300-x) +288(300+x))/((300+x)(300-x))=2
(288(300-x) +288(300+x)) = (90000-x^2)*2


86400-288x +86400 +288x= 180000-2x^2
2x^2= 7200
x^2 =3600
x= 60 mph wind speed