document.write( "Question 1192495: Two buses leave towns 484 kilometers apart at the same time and travel toward each other. One bus travels 18 km/h faster than the other. If they meet in 2 hours, what is the rate of each bus. \n" ); document.write( "
Algebra.Com's Answer #824376 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Two buses leave towns 484 kilometers apart at the same time and travel toward each other. \n" ); document.write( "One bus travels 18 km/h faster than the other. If they meet in 2 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 average rate of the slower bus, in kilometers per hour.\r\n" ); document.write( "\r\n" ); document.write( "Then the rate of the other base is (x+18) km/h.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "One bus' traveled distance is 2x kilometers.\r\n" ); document.write( "\r\n" ); document.write( "The other bus' traveled distance is 2*(x+18) kilometers.\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( " 2x + 2*(x+18) = 484 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( " 2x + 2x + 36 = 484\r\n" ); document.write( "\r\n" ); document.write( " 4x = 484 - 36\r\n" ); document.write( "\r\n" ); document.write( " 4x = 448\r\n" ); document.write( "\r\n" ); document.write( " x = 448/4 = 112.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The slower bus rate is 112 km/h. The faster bus rate is 112+18 = 130 km/h.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 112*2 + 130*2 = 484 kilometers, the 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( " |