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Math Help - Linear Systems

  1. #1
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    Exclamation Linear Systems

    hey,
    i dont understand this question. I tried solve it but i got lost in the middle somewhere. Could you please help me with it, please?

    Kareem took 5 hours to drive 470km from Sudbury to Brantford. For part of the trip, he drove at 100km/h. For the rest of the trip he drove at 90km/h. How far did he drive at each speed?
    Last edited by sadaf_rehman; December 5th 2007 at 04:26 PM.
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  2. #2
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    Hello, Sadaf!

    Kareem took 5 hours to drive 470km from Sudbury to Brantford.
    For part of the trip, he drove at 100km/h. For the rest of the trip he drove at 90km/h.
    How far did he drive at each speed?

    Let t = times he drove at 100 km/hr.
    Then 5-t = time he drove at 90 km/hr.

    He drove t hours at 100 klm/hr.
    . . His distance was: . 100t km.

    He drove 5-t hours at 90 km/hr.
    . . His distance was: . 90(5-t) km.

    His total distance was 470 km.

    There is our equation! . . . 100t + 90(5-t) \:=\:470


    Can you finish it now?

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  3. #3
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    linear systems

    thank you.i get it from here=)
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