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

Question

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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Josie 3 weeks 2021-09-25T06:48:38+00:00 1 Answer 0

Answers ( )

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    2021-09-25T06:50:12+00:00

    Answer:

    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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