SOLUTION: 2 runners can average 8 and 10 yards per second respectively. if the slower runner was given 7 1/2 second head start in a race that ended in a tie, what was the distance they race

Question 384028: 2 runners can average 8 and 10 yards per second respectively. if the slower runner was given 7 1/2 second head start in a race that ended in a tie, what was the distance they raced?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
runner A = 8 yards/second
Runner B = 10 yards/second
..
Runner A 7.5 seconds head start
When B starts he has run 7.5 *8 =60 yards.
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the make up speed between them is 10-8 = 2 yards /second
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distance = 60 yards
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t= 60/2
t = 30 second.
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Runner B catches up runner A after 30 seconds at the finishing line.
rate of runner B = 10 yards/second
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Distance = 10*30 = 300 yards.
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Race distance = 300 yards
..
m.ananth@hotmail.ca
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