SOLUTION: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it

Algebra ->  Proportions  -> Lessons -> SOLUTION: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it      Log On


   

Question 482472: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Runner A 6 m/s
Runner B 10 m/s
Runner A is ahead 70 m when Runner B starts
catch up distance= 70 m
catch up speed = 10 -6 mph
catch up speed = 4 mph
Catchup time = catchup distance/catch up speed
catch up time= 70 / 4
catch up time= 17.5 seconds