document.write( "Question 1170583: Two cars travel towards each other from points 400 km apart. The two cars meet in 4 hours. What is the average speed of each car if one car travels 20 km per hour faster than the other? \n" ); document.write( "
Algebra.Com's Answer #795438 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let the slower car rate be x km/h;\r\n" ); document.write( "\r\n" ); document.write( "then the faster car rate is (x+20) km/h.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total distance equation is\r\n" ); document.write( "\r\n" ); document.write( " 4x + 4*(x+20) = 400 kilometers.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 4x + 4x + 80 = 400\r\n" ); document.write( "\r\n" ); document.write( " 8x = 400 - 80 fa\r\n" ); document.write( "\r\n" ); document.write( " 8x = 320\r\n" ); document.write( "\r\n" ); document.write( " x = 320/8 = 40.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The slower car rate is 40 km/h; the faster car rate is 40+20 = 60 km/h.\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( " |