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Math

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Jessica can jog to work in 4/5 of an hour. When she rides her bike, it takes her 3/10 of an hour. If she rides 10 miles per hour faster than she jogs, how far away is her work?

  • Math -

    She bikes at speed b, so d/b = 3/10
    She jogs at speed j, so d/j = 4/5
    But, b=j+10 so,

    d/(j+10) = 3/10
    d/j = 4/5

    d = 3/10 (j+10) = 4j/5 = 8j/10

    3(j+10) = 8j
    30 = 5j
    j=6
    b=16
    d=24/5 mi

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