SOLUTION: Please help. A 6 passenger plane cruises at 180mph 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

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Question 177011: Please help.
A 6 passenger plane cruises at 180mph 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 scott8148(6628)   (Show Source): You can put this solution on YOUR website!
if d=rt, then t=d/r __ the TIMES are the same

let w=wind

7/(180+w) = 5/(180-w)

"cross" multiplying __ 7*180 - 7w = 5*180 + 5w

adding 7w and subtracting 5*180 __ 2*180 = 12w

dividing by 12 __ 30 = w