document.write( "Question 1040157: Two people are jogging in a circular track in the same direction. One person an go completely around the reach in 21 minutes. The second person takes 18 minutes. If they both start running in the same place at the same time, how long will it take them to be together at this place if they continue to run? \n" ); document.write( "
Algebra.Com's Answer #654957 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "We find the LCM of 18 and 21\r\n" ); document.write( "Line up the prime factorizations,\r\n" ); document.write( "then bring them down to the bottom line\r\n" ); document.write( "and multiply: \r\n" ); document.write( "\r\n" ); document.write( " 18 = 2×3×3\r\n" ); document.write( " 21 = 3×7\r\n" ); document.write( "-------------\r\n" ); document.write( "LCM = 2×3×3×7 = 126\r\n" ); document.write( "\r\n" ); document.write( "Answer = 126 minutes [which is 6 complete laps for \r\n" ); document.write( " the slower runner, since 6×21=126\r\n" ); document.write( " and 7 complete laps for the faster \r\n" ); document.write( " runner, since 7×18 also = 126.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |