SOLUTION: Larry drove 250 miles in 2 hours more than it took Terrell to drive 159 miles. Terrell drove at an average rate of 3 miles per hour faster than Larry. How fast did each one travel?

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Question 386347: Larry drove 250 miles in 2 hours more than it took Terrell to drive 159 miles. Terrell drove at an average rate of 3 miles per hour faster than Larry. How fast did each one travel?
miles per hour (Larry)=
miles per hour (Terrell)=
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Larry drove 250 miles in 2 hours more than it took Terrell to drive 159 miles. Terrell drove at an average rate of 3 miles per hour faster than Larry. How fast did each one travel?
miles per hour (Larry)=
miles per hour (Terrell)=
...
..
larry's rate = x
Terrell x+3
..
t=d/r
...
Larry's time - Terrell's time = 2 hours
..
%28250%2Fx%29-%28159%2F%28x%2B3%29%29=2
LCD = x(x+3)
...
%28250%28x%2B3%29-159x%29%2F%28x%28x%2B3%29%29=2
...
%28250x%2B750-159x%29%2F%28x%5E2%2B3x%29=2
multiply by (x^2+3x)
...
91x%2B750%29=2%28x%5E2%2B3x%29
...
91x+750=2x^2+6x
reorganize the terms
2x^2+6x-91x-750=0
2x^2-85x-750=0
2x^2-100x+15x-750=0
2x(x-50)+15(x-50)=0
(2x+15)(x-50)=0
%28highlight%28x=50mph%29%29 is Larry's rate
%28highlight%2853mph%29%29 is Terrell's rate
...
m.ananth@hotmail.ca