document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #504629 by lwsshak3(11628) $\"\"$ $\"About$

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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?
\n" ); document.write( "***
\n" ); document.write( "let x=distance of bicycle race
\n" ); document.write( "132-x=distance of run race
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( " $\"%28132-x%29%2F8%2Bx%2F23=9\"$
\n" ); document.write( "LCD:184
\n" ); document.write( "3036-23x+8x=1656
\n" ); document.write( "15x=1380
\n" ); document.write( "x=92
\n" ); document.write( "distance of the bicycle race=92 miles
\n" ); document.write( " \n" ); document.write( "

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