document.write( "Question 1120831: In a large marathon, runners start the race in stages. Jorge started in group E and ran at a rate of 4.5 miles per hour. During the race he was passed by Luis who ran at a rate of 5 miles per hour and started in group H, 15 minutes after Jorge started. How far did Jorge run before he was passed by Luis? \n" ); document.write( "
Algebra.Com's Answer #736554 by ankor@dixie-net.com(22740)\"\" \"About 
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In a large marathon, runners start the race in stages.
\n" ); document.write( " Jorge started in group E and ran at a rate of 4.5 miles per hour.
\n" ); document.write( " During the race he was passed by Luis who ran at a rate of 5 miles per hour and started in group H, 15 minutes after Jorge started.
\n" ); document.write( " How far did Jorge run before he was passed by Luis?
\n" ); document.write( ";
\n" ); document.write( "let t = running time of J
\n" ); document.write( "Change 15 min to \"1%2F4\" hr, then
\n" ); document.write( "(t - \"1%2F4\") = running of L
\n" ); document.write( "when L catches up with J, they will have traveled the same distance
\n" ); document.write( ":
\n" ); document.write( "A distance equation; dist = speed * time
\n" ); document.write( "5(t-\"1%2F4\") = 4.5t
\n" ); document.write( "5t - \"5%2F4\" = 4.5t
\n" ); document.write( "5t - 4.5t = \"5%2F4\"
\n" ); document.write( "or
\n" ); document.write( ".5t = 1.25
\n" ); document.write( "t = \"1.25%2F.5\"
\n" ); document.write( "t = 2.5 hrs
\n" ); document.write( ":
\n" ); document.write( "Find the distance J traveled
\n" ); document.write( "2.5(4.5) = 11.25 mi
\n" ); document.write( ":
\n" ); document.write( "Check this, find the distance L traveled, his time was 2.25 hrs
\n" ); document.write( "2.25(5) = 11.25 mi
\n" ); document.write( "
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