document.write( "Question 1196158: Kosumi and Rahquez both leave the internet cafe at the same time, but in opposite directions. If Rahquez travels 5 mph faster than Kosumi and after 8 hours they are 264 miles apart, how fast is each traveling?
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Algebra.Com's Answer #828874 by ikleyn(52799)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the slower rate (in miles per hour); then the faster rate is (x+5) mph.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write an equation for the total separating distance\r\n" ); document.write( "\r\n" ); document.write( " 8*x + 8*(x+5) = 264.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify step by step\r\n" ); document.write( "\r\n" ); document.write( " 8x + 8x + 40 = 264\r\n" ); document.write( "\r\n" ); document.write( " 16x = 264 - 40\r\n" ); document.write( "\r\n" ); document.write( " 16x = 224\r\n" ); document.write( "\r\n" ); document.write( " x = 224/16 = 14.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The slower rate was 14 mph; the faster rate was 14 + 5 = 19 mph.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 8*14 + 8*19 = 264 miles, the total separating distance. ! Correct !\r\n" ); document.write( "\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( "For simple Travel & Distance problems, see introductory lessons \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( "\n" ); document.write( " \n" ); document.write( " |