SOLUTION: 2 runners approaching each other on a straight line track have constant speed of 4.5 and 3.5 m/s when they are 100 m apart how long will it take for the runners to meet each other
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Question 682872: 2 runners approaching each other on a straight line track have constant speed of 4.5 and 3.5 m/s when they are 100 m apart how long will it take for the runners to meet each other and what position will they meet ??
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance in meters that the faster runner will
travel until they meet.
= the distance in meters the slower runner will
travel until they meet
Let = time from when they are m apart
until they meet
--------------------
Equation for faster runner:
(1)
Equation for slower runner:
(2)
--------------------
Substitute (1) into (2)
(2)
(2)
(2)
It will take the runners 12.5 hrs to meet
and
(1)
(1)
(1)
and
The faster runner runs 56.25 m
The slower runner runs 43.75 m
check:
(2)
(2)
(2)
OK
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