anonymous
  • anonymous
An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
The airplane speed in still air is v. The wind speed is w. The plane speed with the wind is v + w. The plane speed against the wind is v - w.
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
\( \begin{cases} d = 8(v - w\\ d = 7(v + w) \end{cases} \) \( \begin{cases} d = 8v - 8w \\ d = 7v + 7w \end{cases} \) \(8v - 8w = 7v + 7w\) \(v = 15w\) \(\dfrac{v}{w} = \dfrac{15}{1} \)

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anonymous
  • anonymous
Thanks :)
mathstudent55
  • mathstudent55
You're welcome.
anonymous
  • anonymous
Can you help with a few more
mathstudent55
  • mathstudent55
Yes. Pls start a new post for each new problem. I''ll look for them.
anonymous
  • anonymous
Ok

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