document.write( "Question 1123150: Cody left the park traveling 12 mph. Then, 2 hours later, Jeff left traveling the same direction at 18 mph. How long until Jeff catches up with Cody? \n" ); document.write( "
Algebra.Com's Answer #739408 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let \"t\" be the time after Jeff left the park.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The the time after Cody left the park is (t+2) hours.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Jeff traveled the distance of 18*t miles.\r\n" ); document.write( "\r\n" ); document.write( "Cody traveled 12*(t+2) miles.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "At the moment Jeff catches up with Cody, they cover the same distance.\r\n" ); document.write( "\r\n" ); document.write( "It gives you an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 18t = 12(t+2).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 18t = 12t + 24,\r\n" ); document.write( "\r\n" ); document.write( " 18t - 12t = 24\r\n" ); document.write( "\r\n" ); document.write( " 6t = 24\r\n" ); document.write( "\r\n" ); document.write( " t = 24/6 = 4 hours.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. 4 hours.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See introductory lessons on Travel and Distance problems\r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems \r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems for two bodies moving in opposite directions \r \n" ); document.write( "\n" ); document.write( " - Travel and Distance problems for two bodies moving in the same direction (catching up)\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They are written specially for you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them and learn once for all from these lessons on how to solve simple Travel and Distance problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |