<PRE><B>Question 587417</B>
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&#39;s jet flies 220 miles per hour in still air, what is the speed of the wind?
:
Let w = speed of the wind
then
(220+w) = effective speed with the wind
and
(220-w) = effective speed against the wind
:
Write a time equation: time = dist/speed
:
{{{330/((220-w))}}} = {{{550/((220+w))}}}
Cross multiply
330(220+w) = 550(220-w)
72600 + 330w = 121000 - 550w
330w + 550w = 121000 - 72600
880w = 48400
w = {{{48400/880}}}
w = 55 mph is the wind
;
:
Check this by finding the times, they should be equal
550/275 = 2 hrs
330/165 = 2 hrs</PRE>