SOLUTION: Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until      Log On


   

Question 1056475: Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                    RATE         TIME         DISTANCE
TOMMY                3           t+2           3%28t%2B2%29
ZACH                 4            t            4t
HYPOTENUSE                                       8


They move at right angle to each other.
%283%28t%2B2%29%29%5E2%2B%284t%29%5E2=8%5E2