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pickupchik [31]
3 years ago
12

A plane can fly 290 miles downwind in the same amount of time as it can travel 220 miles upwind. Find the velocity of the wind i

f the plane can fly 255 mph in still air.
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer:

The speed of the wind is 35\ mph

Step-by-step explanation:

Let

x-----> the speed of the wind in mph

we know that

Downwind

(255+x)=\frac{290}{t}

t=\frac{290}{(255+x)} -----> equation A

Upwind

(255-x)=\frac{220}{t}

t=\frac{220}{(255-x)} ----> equation B

equate the equation A and the equation B

\frac{290}{(255+x)}=\frac{220}{(255-x)}\\ \\290(255-x)=220(255+x)\\ \\ 73,950-290x= 56,100x+220x\\ \\220x+290x=73,950-56,100\\ \\510x=17,850\\ \\x= 35\ mph

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3 years ago
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Step-by-step explanation:

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The hyperbola has been translated from the origin to (0,5).

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