document.write( "Question 1189736: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh faster than the other. If the two buses are 976 kilometers apart after 4 hours, what is the rate of each bus? \n" ); document.write( "
Algebra.Com's Answer #821176 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Two buses leave a station at the same time and travel in opposite directions. \n" ); document.write( "One bus travels 8kmh faster than the other. If the two buses are 976 kilometers apart \n" ); document.write( "after 4 hours, what is the rate of each bus? \n" ); document.write( "~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the rate of the slower bus, in kilometers per hour.\r\n" ); document.write( "\r\n" ); document.write( "Then the rate of the other bus is (x+8) km/h.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write the total distance equation\r\n" ); document.write( "\r\n" ); document.write( " 4x + 4*(x+8) = 976.\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 + 32 = 976\r\n" ); document.write( "\r\n" ); document.write( " 8x = 976 - 32 \r\n" ); document.write( "\r\n" ); document.write( " 8x = 944\r\n" ); document.write( "\r\n" ); document.write( " x = 944/8 = 118.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The slower bus speed is 118 km/h. The faster bus speed is 118+8 = 126 km/h.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 4*118 + 4*126 = 976 kilometers, total distance. ! Precisely 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( " |