document.write( "Question 1144018: Two cars leave towns 800 kilometers apart at the same time and travel toward each other. One cars rate is 10 kilometers per hour less than the others . If they meet 5 hours what is the rate of the slower car? \n" ); document.write( "
Algebra.Com's Answer #764977 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the speed of the slower car, in kilometers per hour.\r\n" ); document.write( "\r\n" ); document.write( "Then the speed of the faster car is (x+10) kilometers per hour.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In 5 hours, the slower car covers the distance of 5x kilometers, while the faster car covers the distance of 5*(x+10) kilometers.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The sum of the distances is 800 kilometers:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5x + 5*(x+10) = 800.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is your basic equation.\r\n" ); document.write( "\r\n" ); document.write( "To solve it, simplify and solve for x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5x + 5x + 50 = 800\r\n" ); document.write( "\r\n" ); document.write( " 10x = 800 - 50\r\n" ); document.write( "\r\n" ); document.write( " 10x = 750\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \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 and 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( " |