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18 October, 10:34

Before going to school, Eudora ran from her home to her secret laboratory at an average speed of 12 km/h. She then took one of her jetpacks and flew to her school at an average speed of 76 km/h. Eudora traveled a total distance of 120km, and the entire trip took 2 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack?

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  1. 18 October, 10:50
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    she flew 1h 30m and ran 30m

    Step-by-step explanation:

    First we have to make 2 equations, one that represents the distance that it traveled and another that represents the time that it ran

    x = time she ran

    y = time she flew

    x + y = 2h

    x * 12 + y * 76 = 120

    we clear x in the first equation

    x + y = 2

    x = 2 - y

    we replace x with (2 - y) in the second equation

    x * 12 + y * 76 = 120

    (2 - y) * 12 + y * 76 = 120

    24 - 12y + 76y = 120

    -12y + 76y = 120 - 24

    64y = 96

    y = 96/64

    y = 3/2

    this means that 1 hour and a half was flying

    x = 2 - y

    x = 2 - 3/2

    x = 1/2

    this means that half hour was runing
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