Question 598486
Eddie is flying a jet against the wind on a 330 mile trip.
 Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time.
 If Eddie's jet flies at 220 miles per hour in still air, what is the speed of the wind? 
:
Let w = the speed of the wind
then
(220-w) = his effective speed against the wind
and
(220+w) = his effective speed with the wind
:
Write a time equation; time = dist/speed
;
{{{350/((220-w))}}} = {{{550/((220+w))}}}
cross multiply
350(220+w) = 550(220-w)
77000 + 350s = 121000 - 550w
350w + 550w = 121000 - 77000
900w = 44000
w = {{{44000/900}}}
w = 48.9 mph is the wind
:
:
We can confirm this by finding the times, they should be the same
550/(220+48.9) = 2.045 hrs
350/(220-48.9) = 2.045 hrs