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Math Help - Airplane and Wind speed problem

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    Airplane and Wind speed problem

    An airplane averaged 160 miles per hour with the wind and 112 miles per hour against the wind. Determine the speed of the plane and the speed of the wind. Is this possible to calculate with the info presented?
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    Quote Originally Posted by scrattorpedo View Post
    An airplane averaged 160 miles per hour with the wind and 112 miles per hour against the wind. Determine the speed of the plane and the speed of the wind. Is this possible to calculate with the info presented?
    Let v_p denote the speed of the plane and v_w the speed of the wind. Then you have:

    \left|\begin{array}{l}v_p+v_w=160 \\ v_p-v_w=112\end{array}\right.

    Solve this system of simultaneous equations. I've got v_p = 136\ \frac{mi}{h} and v_w = 24\ \frac{mi}{h}
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