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anonymous

  • one year ago

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.

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  1. mathstudent55
    • one year ago
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    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.

  2. mathstudent55
    • one year ago
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    |dw:1440954808356:dw|

  3. mathstudent55
    • one year ago
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    \( \begin{cases} d = 8(v - w\\ d = 7(v + w) \end{cases} \) \( \begin{cases} d = 8v - 8w \\ d = 7v + 7w \end{cases} \) \(8v - 8w = 7v + 7w\) \(v = 15w\) \(\dfrac{v}{w} = \dfrac{15}{1} \)

  4. anonymous
    • one year ago
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    Thanks :)

  5. mathstudent55
    • one year ago
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    You're welcome.

  6. anonymous
    • one year ago
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    Can you help with a few more

  7. mathstudent55
    • one year ago
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    Yes. Pls start a new post for each new problem. I''ll look for them.

  8. anonymous
    • one year ago
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    Ok

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