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To travel 175 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 66 miles riding a bicycle. Sue travels 19 miles per hour faster than Doreen. Find the times and rates of both girls.

  • Math - ,

    Let Doreen's speed = x and Sue's = x + 19.
    Let y - 4 = Doreen's time and y = Sue's time

    Speed = distance/time

    x = 175/(y-4) (Doreen)

    x + 19 = 66/y (Sue)

    Substitute the value of x from the first equation into the second and solve.

    I hope this helps. Thanks for asking.

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