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Samantha can ride her bike to work in 2/3 of an hour. When she drives to work it takes 1/3 of an hour. If she drives 12 miles per hour faster than she rides her bike, how fast does she ride her bike?

  • math -

    D = RT (Distance = Rate x Time)
    R = rate of bike
    0.67 = time of bike (2/3 = 0.67)
    0.67R = distance of bike

    R + 12 = rate of car
    0.33 = time of ca (1/3 = 0.33)
    .33(R + 12) = distance of car

    Since distance is equal
    0.67R = 0.33(R + 12)

    Solve for R, rate of bike

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