SOLUTION: A 6000 m relay race is run by two male runners in 18.5 minutes. \the first runner averaged 300m/min and the second 350 m/min. For how many minutes did each hold the baton?
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Question 179739: A 6000 m relay race is run by two male runners in 18.5 minutes. \the first runner averaged 300m/min and the second 350 m/min. For how many minutes did each hold the baton? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! To do this problem, you have to know what a
relay race is. The runners runners run one
at a time. One after the other.
For 1st runner
(1)
For 2nd runner
(2)
given: m min min m/min m/min
-------------------------
Rewriting (1) and (2)
(1)
(2)
This is 2 equations and 2 unknowns, so it's solvable
(1)
(2)
(2)
Now add (1) and (2)
(2)
(1) min
And since min min
The 1st runner held the baton for 9.5 min, the 2nd for 9 min
check:
(1)
(2) m OK