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Math Help - i need some help with algebra world problem

  1. #1
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    Unhappy i need some help with algebra world problem

    It says

    two people leave by car from the same location, traveling in opposite direction. one leaves at 2:00 pm, driving at 55 kmp, while the other leaves at 3:00 pm, driving at 45 kmp. Att what time will they be 280 kilometers apart?
    could anyone explain step by step, please....:confused
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  2. #2
    Super Member

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    Hello, sweetnata1!

    Two people leave by car from the same location, traveling in opposite directions.
    One leaves at 2:00 pm, driving at 55 km/hr,
    while the other leaves at 3:00 pm, driving at 45 km/hr.
    At what time will they be 280 kilometers apart?

    Did you make a sketch?
    Code:
          A             P         S                     B
          * ← ----------* ← ----- * ----------------- → *
          : - - 55t - - : -  55 - : - - - 45t - - - - - :

    At 2 pm, car A starts at S and drives west at 55 km/hr.
    In the first hour, it drives 55 km to point P.
    In the next t hours, it drives 55t km more to point A.

    At 3 pm, car B start at S and drives east at 45 km/hr.
    In the next t hours, it drives 45t km to point B.

    The distance between A and B is to be 280 km.

    And there is our equation! . (55t + 55) + 45t .= .280

    Solve for x and answer the question.

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