Math

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Boston is 200 mi away from NY. It takes me 1 hour less to drive to Boston when I drive 10 mi faster than my normal rate. What is my normal rate?

  • Math -

    D = RT (Distance = Rate x Time)

    Normal Rate
    R = rate
    T = time
    RT = 200

    Increased Rate/less time
    R + 10
    T - 1
    (R + 10)(T - 1) = 200

    Solve these two equation simultaneously.
    (R + 10)(T - 1) = 200
    RT = 200

    Expand the first equation and substitute RT = 200, for RT in that expansion.

    Then solve for R and T (quadratic equation).

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