SOLUTION: John can run a certain course in 9 min and henry can run it in 6 min. If they start opposite ends and run toward one another, how long will they run before they meet?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: John can run a certain course in 9 min and henry can run it in 6 min. If they start opposite ends and run toward one another, how long will they run before they meet?      Log On


   



Question 331160: John can run a certain course in 9 min and henry can run it in 6 min. If they start opposite ends and run toward one another, how long will they run before they meet?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
John can run a certain course in 9 min and henry can run it in 6 min.
If they start opposite ends and run toward one another, how long will
they run before they meet?
:
Let d = the distance of the course
Let t = time for them to meet
:
Write a speed equation, speed = dist/time
:
John's speed + Henry's speed = combined speed
d%2F9 + d%2F6 = d%2Ft
:
Multiply equation by 18t, results
2dt + 3dt = 18d
:
Divide thru by d
2t + 3t = 18
5t = 18
t = 18%2F5
t = 3.6 minutes for them to meet