SOLUTION: Suppose you have entered a 96 mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 9 mile per hour, and during your bicycle race, you
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Question 830225: Suppose you have entered a 96 mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 9 mile per hour, and during your bicycle race, you average velocity is 29 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race
what is the distance of the run in miles
You can put this solution on YOUR website! ---
x = run distance
y = bike distance
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s = d/t
t = d/s
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run:
t1 = x/9
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bike:
t2 = y/29
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total time:
t1 + t2 = 4
x/9 + y/29 = 4
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total distance:
x + y = 96
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linear system:
(1/9)x + (1/29)y = 4
x + y = 96
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put the system of linear equations into standard form:
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0.111111x + 0.034483y = 4
x + y = 96
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solution:
x = run distance = 9 miles
y = bike distance = 87 miles
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