document.write( "Question 344724: You enter a 64 mile biathalon, you run 10 mph, you bike 27 mph. You finish in 3 hours. What is the distance of the run? What is the distance of the bike race? \n" ); document.write( "
Algebra.Com's Answer #246709 by ankor@dixie-net.com(22740)\"\" \"About 
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You enter a 64 mile biathalon, you run 10 mph, you bike 27 mph.
\n" ); document.write( " You finish in 3 hours.
\n" ); document.write( " What is the distance of the run?
\n" ); document.write( " What is the distance of the bike race?
\n" ); document.write( ":
\n" ); document.write( "Find the run time and bike time first
\n" ); document.write( ":
\n" ); document.write( "Let t = time biking
\n" ); document.write( "then
\n" ); document.write( "(3-t) = time running
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "Bike dist + Run dist = 64 mi
\n" ); document.write( "27t + 10(3-t) = 64
\n" ); document.write( "27t + 30t - 10t = 64
\n" ); document.write( "27t - 10t = 64 - 30
\n" ); document.write( "17t = 34
\n" ); document.write( "t = \"34%2F17\"
\n" ); document.write( "t = 2 hrs on the bike
\n" ); document.write( "then. obviously,
\n" ); document.write( "1 hr running
\n" ); document.write( ":
\n" ); document.write( "find the distances
\n" ); document.write( "2(27) = 54 mi on the bike
\n" ); document.write( "1(10) = 10 mi running
\n" ); document.write( "-------------------
\n" ); document.write( "totals 64 mi \n" ); document.write( "
\n" );