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?

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)

OK
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