SOLUTION: larry's time to travel 156 kilometers is 1 hour more than terrell's time to travel 108 kilometers. Terrell drove 2 kilometers per hour faster than larry. how fast did each one trav

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: larry's time to travel 156 kilometers is 1 hour more than terrell's time to travel 108 kilometers. Terrell drove 2 kilometers per hour faster than larry. how fast did each one trav      Log On


   

Question 1168779: larry's time to travel 156 kilometers is 1 hour more than terrell's time to travel 108 kilometers. Terrell drove 2 kilometers per hour faster than larry. how fast did each one travel?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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larry's time to travel 156 kilometers is 1 hour more than terrell's time to travel 108 kilometers.
Terrell drove 2 kilometers per hour faster than larry. how fast did each one travel?
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Let Larry' speed be x km/h.

Then Terrel' speed is (x+2) km/h.


From the condition, you have this "time" equation


    156%2Fx - 108%2F%28x%2B2%29 = 1.


Reduce it to the standard form quadratic equation and solve it, using EITHER the quadratic formula OR factoring.


ANSWER.  Larry' speed is 52 km/h;  Terrel' speed is 54 km/h.

Solved.