SOLUTION: Two persons are to run a race, but one can run 12 meters persecond, whereas the other can run 6 meters per second. If the slower runner has a 99-meter head start. how long will it
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Question 709865: Two persons are to run a race, but one can run 12 meters persecond, whereas the other can run 6 meters per second. If the slower runner has a 99-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 the faster runner leaves
Let = the distance the faster runner has
traveled when the slower runner is caught
Let = the time in secods when the slower runner is caught
---------------
Faster runner's equation:
(1)
Slower runners equation:
(2)
-----------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
The time is 16.5 sec when the slower runner is caught
check:
(1)
(1) m
and
(2)
(2)
(2) m
OK
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