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16 June, 21:22

Choose the correct answer. two cars leave phoenix and travel along roads 90 degrees apart. if car 1 leaves 30 minutes earlier than car 2 and averages 42 mph and if car 2 averages 50 mph, how far apart will they be after car 1 has traveled 3.5 hours? miles.

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  1. 17 June, 00:35
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    The equation of movement for each car is given by:

    Car 1:

    d1 = v1 * t1

    Substituting values:

    d1 = 42 * 3.5

    d1 = 147 miles

    Car 2:

    d2 = v2 * t2

    d2 = v2 * (t1 + 0.5)

    Substituting values:

    d2 = 50 * (3.5 + 0.5)

    d2 = 200 miles

    The distance between the cars is:

    d = root ((d1) ^ 2 + (d2) ^ 2)

    d = root ((147) ^ 2 + (200) ^ 2)

    d = 248.2 miles

    Answer:

    They will be 248.2 miles far.
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