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

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(52855) (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 =  = 24 seconds.

All questions are answered and the problem is solved.

RELATED QUESTIONS
Ian and Carolyn are 200 feet apart when they begin walking directly toward one another.... (answered by ankor@dixie-net.com)

Two students are 350 m apart and begin walking toward one another at constant rates. One... (answered by rfer)

Two students are 350 m apart and begin walking toward one another at constant rates. One... (answered by mananth)

Two students are 320 meters apart and began walking toward one another at constant rates. (answered by mananth)

Two boats travelling at 5 and 10 kms per hour,head directly toward each other.they begin... (answered by lwsshak3)

Two cyclists are situated 60 miles apart. One has a falcon one his shoulder. The cyclists (answered by ikleyn)

Two cars leave towns 230 km apart at the same time, traveling directly toward one... (answered by checkley71)

At noon Jason left his house to walk towards Katie�s house at a speed of 3 miles per... (answered by Theo)

I've tried this so many times and am stuck. The problem must be solved using 2 variables... (answered by Alan3354)