Posted by **Ronaldo** on Tuesday, January 25, 2011 at 9:43pm.

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 -
**helper**, Tuesday, January 25, 2011 at 10:04pm
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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