SOLUTION: suppose you have entered a 155 mile biathlon that consists of a bicycle race and a running race. during your run your velocity is 10 miles per hour and during your bicycle race you

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Question 488492: suppose you have entered a 155 mile biathlon that consists of a bicycle race and a running race. during your run your velocity is 10 miles per hour and during your bicycle race your velocity is 29 miles per hour. you finish the race in 6 hours. what is the distance of your run? what is the distance of your bicycle race?
155-d/29
155(10)/29
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
suppose you have entered a 155 mile biathlon that consists of a bicycle race and a running race. during your run your velocity is 10 miles per hour and during your bicycle race your velocity is 29 miles per hour. you finish the race in 6 hours. what is the distance of your run? what is the distance of your bicycle race?
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run distance: 10x where x is the number of hours you run
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bike distance: 29(6-x)
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Equation:
distance + distance = 155 miles
10x + 29(6-x) = 155
10x + 29*6 - 29x = 155
-19x = 155 - 29*6
-19x = -19
x = 1 (# of hrs you run)
6-x = 5 (# of hrs you bike)
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Cheers,
Stan H.
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