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27 April, 08:09

Whitney left school and drove 7 miles to meet her mother at a restaurant. Her mother left at the same time and drove 8 miles, traveling 5 miles faster then her daughter. If the two arrived at the restaurant at the same time, what was whitney's speed

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  1. 27 April, 08:28
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    Let's write the cinematic equation for Whitney and her mother.

    We have then:

    For Whitney:

    d = v * t

    7 = v * t

    For her mother:

    d = (v + 5) * t

    8 = (v + 5) * t

    Where,

    v: speed

    t: time

    We have then how the time is the same:

    7 / v = 8 / (v + 5)

    We cleared v:

    7 (v + 5) = 8v

    7v + 35 = 8v

    8v-7v = 35

    v = 35 mph

    Answer:

    whitney's speed is:

    v = 35 mph
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