SOLUTION: Jason and Renee are 180 feet apart when they begin walking directly toward one another. Jason travels at a constant speed of 3 feet per second and Renee travels at a constant speed

Algebra ->  Equations -> SOLUTION: Jason and Renee are 180 feet apart when they begin walking directly toward one another. Jason travels at a constant speed of 3 feet per second and Renee travels at a constant speed      Log On


   



Question 1122492: Jason and Renee are 180 feet apart when they begin walking directly toward one another. Jason travels at a constant speed of 3 feet per second and Renee travels at a constant speed of 4.5 feet per second.
a. Write an expression in terms of t that represents the number of feet Jason has traveled since he started walking toward Renee.
b.Write an expression in terms of t that represents the number of feet Renee has traveled since she started walking toward Jason.
c. Write an expression in terms of t that represents the distance between Jason and Renee.
d. How many seconds after the two started walking will the reach each other?

Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
.
Jason and Renee are 180 feet apart when they begin walking directly toward one another.
Jason travels at a constant speed of 3 feet per second and Renee travels at a constant speed of 4.5 feet per second.

a.  Write an expression in terms of t that represents the number of feet Jason has traveled since he started walking toward Renee.

    x = 3*t,  where x is the distance in feet for Jason.


      
b.  Write an expression in terms of t that represents the number of feet Renee has traveled since she started walking toward Jason.

    y = 4.5*t,  where y is the distance in feet for Rene.



c.  Write an expression in terms of t that represents the distance between Jason and Renee.

    This expression is  180 - 3t - 4.5t = 180 - 7.5t.



d.  How many seconds after the two started walking will the reach each other?


    When  180 - 7.5t = 0

    It gives  180 = 7.5t,  t = 180%2F7.5 = 24 seconds.

All questions are answered and the problem is solved.