document.write( "Question 636112: Two runners start running at the same time from start/finish line of a 400 meter oval track. One runner runs laps of 1 minute 15 seconds and the other runner runs laps of 1 minute 45 seconds. HOw long will it be before the runners cross the start/finish line at the smae time? How many laps will each have run? \n" ); document.write( "
Algebra.Com's Answer #400771 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two runners start running at the same time from start/finish line of a 400 meter oval track. \n" ); document.write( " One runner runs laps of 1 minute 15 seconds and the other runner runs laps of 1 minute 45 seconds. \n" ); document.write( " How long will it be before the runners cross the start/finish line at the same time? \n" ); document.write( " How many laps will each have run? \n" ); document.write( ": \n" ); document.write( "Change 1 min 15 min to 75 sec; and 1 min 45 sec to 105 sec \n" ); document.write( "Find least common multiple of 75 and 105 using prime factors \n" ); document.write( "75: 3*5*5 \n" ); document.write( "105: 3*5*7 \n" ); document.write( "LCM: 3*5*5*7 = 525 sec \n" ); document.write( "which is 525/60 = 8.75 min, which is: \n" ); document.write( "8 min 45 sec when both runners cross the finish line at the same time \n" ); document.write( "then \n" ); document.write( "One runner completes exactly 525/75 = 7 laps \n" ); document.write( "and \n" ); document.write( "Other runner completes exactly 525/105 = 5 laps\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |