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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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According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.

Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.

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7 0
1 year ago
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mote1985 [20]
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3 years ago
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Answer:

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