A plane can fly 260 miles downwind in the same amount of time as it can travel 170 miles upwind. Find the velocity of the wind i
f the plane can fly 215 mph in still air.
1 answer:
From the two statements we can say:
260=(215+w)t
t=260/(215+w)
Now from the second statement:
170=(215-w)t
t=170/(215-w)
We are told that t=t, for the downwind and upwind equations so:
260/(215+w)=170/(215-w)
260(215-w)=170(215+w)
55900-260w=36550+170w
-430w=-19350
w=45
So the wind speed is 45mph.
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