SOLUTION: Two persons are to run a race but one can run 12 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 93- meter head start,how long will it
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Question 939886: Two persons are to run a race but one can run 12 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 93- 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 josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Start a stop watch when they both start running
Let = the time in seconds on the stopwatch
when the faster runner catches the slower runner
Let = the distance the faster runner
travels until they meet
---------------------------------------
Slower runner's equation:
(1)
Faster runner's equation:
(2)
----------------------
Substitute (2) into (1)
(1)
(1)
(1)
The faster runner catches the slower runner in 15.5 sec
check:
(1)
(1)
(1) m
and
(2)
(2) m
OK
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