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

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


   



Question 122091: A six-passenger plane cruises at 180 mph in calm air. If thr plane fies 7 miles with the wind in the same amount of time as it flies 5 miles against wind, then what is the wind speed?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
7/(180+w)=5/(180-w)
now cross multiply.
5(180+w)=7(180-w)
900+5w=1260-7w
5w+7w=1260-900
12w=360
w=360/12
w=30 answer for the speed of the wind.
proof
7/(180+30)=5/(180-30)
7/210=5/150
.033=.033