SOLUTION: A runner started a course at an average speed of 6mph. Two hours later, a cyclist traveled the same course at an average speed of 12mph. How long after the runner started did the c
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: A runner started a course at an average speed of 6mph. Two hours later, a cyclist traveled the same course at an average speed of 12mph. How long after the runner started did the c
Log On
Question 463262: A runner started a course at an average speed of 6mph. Two hours later, a cyclist traveled the same course at an average speed of 12mph. How long after the runner started did the cyclist overtake the runner? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A runner started a course at an average speed of 6mph. Two hours later, a cyclist traveled the same course at an average speed of 12mph. How long after the runner started did the cyclist overtake the runner?
...
let x=hrs cyclist takes to overtake runner
travel time of runner=x
travel time of cyclist=x-2
both runner and cyclist traveled the same distance
distance=travel time*speed
6x/60=12(x-2)/60
6x=12x-24
6x=24
6=4 hrs
ans:
cyclist overtook the runner in 4 hrs