makarockslynn8060 makarockslynn8060
  • 26-06-2017
  • Mathematics
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A plane can fly 310 mph in still air. if it can fly 185 miles downwind in the same amount of time it can fly 125 miles upwind, find the velocity of the wind.

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Banabanana
Banabanana Banabanana
  • 26-06-2017
Let x be the velocity of the wind, then
(310+x) = plane speed downwind
(310-х) = plane speed upwind 

[tex] \frac{185}{310+x} = \frac{125}{310-x} \\ 185(310-x)=125(310+x) \\ 57350-185x=38750+125x \\ 57350-38750=125x+185x \\ 18600=310x \\ x=60 \ mph[/tex]

Answer: 60 mph.
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