SOLUTION: A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the       Log On


   



Question 329309: A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
1.%28180%2BW%29t=7
2.%28180-W%29t=5
From eq. 1,
180%2BW=7%2Ft
From eq. 2,
180-W=5%2Ft
Add those two results together,
180%2BW%2B180-W=7%2Ft%2B5%2Ft
360=12%2Ft
t=12%2F360=1%2F30
Substituting into eq. 1,
%28180%2BW%29%281%2F30%29=7
180%2BW=210
highlight%28W=30%29mph