document.write( "Question 873541: While training for an iron man competition,tony bikes for 60 miles and runs for 15 miles. If his biking speed is 8 times his running speed and it takes 5 hours to complete the training how long did he spend on his bike \n" ); document.write( "
Algebra.Com's Answer #527057 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! While training for an iron man competition,tony bikes for 60 miles and runs for 15 miles. \n" ); document.write( " If his biking speed is 8 times his running speed and it takes 5 hours to complete the training. \n" ); document.write( ": \n" ); document.write( "Let s = his running speed \n" ); document.write( "then \n" ); document.write( "8s = his biking speed \n" ); document.write( ": \n" ); document.write( "Write a time equation: time = dist/speed \n" ); document.write( "; \n" ); document.write( "bike time + run time = 5 hrs \n" ); document.write( " \n" ); document.write( "Multiply thru by 8s, cancel the denominators \n" ); document.write( "60 + 8(15) = 5(8s) \n" ); document.write( "180 = 40s \n" ); document.write( "s = 180/40 \n" ); document.write( "s = 4.5 mph is his running speed \n" ); document.write( "then \n" ); document.write( "8*4.5 = 36 mph is his biking speed \n" ); document.write( "\"how long did he spend on his bike?\" \n" ); document.write( "60/36 = 1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out, find the total time from the bike and run times: \n" ); document.write( " \n" ); document.write( "1.67 + 3.33 = 5 hrs \n" ); document.write( " \n" ); document.write( " |