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Math Help - Simultaneous Linear Equations

  1. #1
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    Simultaneous Linear Equations

    Does anyone know a solution to this word problem?
    Thanks

    1) An airplane travels 1200Km in 6h with the wind. The trip takes 8h against the wind. Determine the speed of the plane relative to the air and the speed of the wind.

    (I can't seem to figure out how to set up the equations?)
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by stephie View Post
    Does anyone know a solution to this word problem?
    Thanks

    1) An airplane travels 1200Km in 6h with the wind. The trip takes 8h against the wind. Determine the speed of the plane relative to the air and the speed of the wind.

    (I can't seem to figure out how to set up the equations?)
    not exactly sure what this question is asking but maybe this can help.

    the speed of the plane when travelling with the wind is:

    speed = distance/time = 1200/6 = 200 Km/h

    the speed of the plane when travelling against the wind is:

    speed = distance/time = 1200/8 = 150 km/h

    so the plane travels at a speed 50 km/h less on average than it would flying with the wind.

    does that help? or did you figure out that much already?
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  3. #3
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    Yeah I figured that part out but I guess the wording of the question is what is confusing me. I think there should be more to it but I have no idea how to go about it. thanks though
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by stephie View Post
    Yeah I figured that part out but I guess the wording of the question is what is confusing me. I think there should be more to it but I have no idea how to go about it. thanks though
    yeah, that "the speed of the plane relative to the air and the speed of the wind" part is wierd
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