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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "(t - \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- \n" ); document.write( "5t - \n" ); document.write( "5t - 4.5t = \n" ); document.write( "or \n" ); document.write( ".5t = 1.25 \n" ); document.write( "t = \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( " |