SOLUTION: Two runners, one averaging 8 miles per hour and the other 6 miles per hour, they start at the same place and run along the same trail. The slower runner arrives at the end of the t

Question 515427: Two runners, one averaging 8 miles per hour and the other 6 miles per hour, they start at the same place and run along the same trail. The slower runner arrives at the end of the trail a half hour after the faster runner. How far did each person run?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two runners, one averaging 8 miles per hour and the other 6 miles per hour, they start at the same place and run along the same trail.
The slower runner arrives at the end of the trail a half hour after the faster runner.
How far did each person run?
:
Find their times first
:
t = 8mph runner time
(t+.5) = 6mph runner time
:
they both ran the same distance, write a distance equation; dist = speed * time
8t = 6(t+.5)
8t = 6t + 3
8t - 6t = 3
2t = 3
t = 3/2
t = 1.5 hrs
find the dist
8(1.5) = 12 mi
:
check the dist using the 2nd runner time
6(1.5+.5) = 12 mi
RELATED QUESTIONS
I'm having difficult setting up the equation for this word problem, Two runners, one... (answered by scott8148)

Two runners one averaging 5 miles per hour and the other one averaging 4 miles per hour,... (answered by josgarithmetic)

2. Two runners start at the same point and run in opposite directions. One runs at 6... (answered by mananth)

Two cyclist, one averaging 8 miles per hour and the other 12 miles per hour, starting at... (answered by ikleyn)

Two cyclists, one averaging 10 miles per hour and the other 12 miles per hour, start from (answered by josmiceli)

Two sailboats, one averaging 20 miles per hour and the other 18 miles per hour, start at... (answered by mananth)

Two planes start from Chicago at the same time and fly in opposite directions, one... (answered by mananth)

Two sailboats, one averaging 20 miles per hour and the other 18 miles per hour, start at... (answered by Alan3354)

Two runners are running toward each other from opposite ends of a six mile stretch. One... (answered by Alan3354)