SOLUTION: Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?

Question 628113: Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Larry's time to travel 371 miles is 3 hours more than Terrell's time to travel 220 miltudent, then, will see your explanation and work of the solver. Most solvers give very detailed explanations.
(Explain) (Explaies. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?
**
let x=Larry's speed
x+2=Terrell's speed
Travel time=distance/speed

LCD: x(x+2)
371(x+2)-220x=3x(x+2)
371x+742-220x=3x^2+6x
3x^2-145x-742
solve by quadratic formula:

a=3, b=145, c=-742
ans:
x=-14/3 (reject, x>0)
or
x=53
..
Larry's speed=53 mph
Terrell's speed=55 mph
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