SOLUTION: John and Aaron start running from the same point. John runs due north at a rate of 10km/hour and Aaron runs due west at a rate of 12km/hour. Write an equation to represent their

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: John and Aaron start running from the same point. John runs due north at a rate of 10km/hour and Aaron runs due west at a rate of 12km/hour. Write an equation to represent their      Log On


   

Question 1160192: John and Aaron start running from the same point. John runs due north at a rate of 10km/hour and Aaron runs due west at a rate of 12km/hour.
Write an equation to represent their distance.
How long will it take for the two men to be 80km apart?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Distance equals rate times time. So the distance John runs is And the distance Aaron runs is

The distance between them is the hypotenuse of a right triangle where the individual distances are the legs.



Simplify and solve the quadratic equation for the positive root.


John

My calculator said it, I believe it, that settles it