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nata0808 [166]
3 years ago
10

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.
Mathematics
1 answer:
Alex787 [66]3 years ago
7 0
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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