math

julie travels 6 times faster then mill. Traveling in opposite directions, they are 714 miles apart afte 6 hours. Find the rate of travel

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  1. first represent unknowns using variables:
    let x = rate of Mill
    let x+6 = rate of Julie
    recall that rate (or speed) is the distance travelled over time, or:
    v = d/t
    therefore, since 714 miles is their distance after 6 hours, and noting that they travel in opposite directions:
    v = d/t
    rearranging to get d:
    d = vt
    714 = 6x + 6(x+6)
    *we add the distances they travelled because they travel in opposite directions,, solving:
    714 = 6x + 6x + 36
    678 = 12x
    x = 56.5 miles per hour
    x+6 = 62.5 miles per hour

    hope this helps~ :)

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