SOLUTION: Suppose you have entered a 132-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 8 miles per hour, and during your bicycle race, yo

Question 837501: Suppose you have entered a 132-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 8 miles per hour, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race in 9 hours. What is the distance of the bicycle race?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Suppose you have entered a 132-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 8 miles per hour, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race in 9 hours. What is the distance of the bicycle race?
***
let x=distance of bicycle race
132-x=distance of run race
travel time=distance/speed
..

LCD:184
3036-23x+8x=1656
15x=1380
x=92
distance of the bicycle race=92 miles

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