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).

## Answer This Question

## Related Questions

- Math - Boston is 200 mi away from NY. It takes me 1 hour less to drive to Boston...
- Trig - Boston is 200 mi away from NY. It takes me 1 hour less to drive to ...
- math question - Problem A businessman drives from Washington, D.C. to Boston, a ...
- math word problem - Here's the latest from the UMW math department: Andy drove ...
- Math - Please review. Ella can drive 65 mi on side roads in the same time that ...
- distance - At 9AM, a freight train leaves Boston for NYC, traveling at an ...
- Math - Gabby travels from Baltimore to Boston each year. It takes him 10 hours ...
- algebra - During rush hour, Bill can drive 60 miles using the side roads in the ...
- Algebra - I don't have a close about this question !!!!!!!! It takes you 3 hours...
- Calculas HS - the Museum of Science in Boston displays a running total of the U....

More Related Questions