document.write( "Question 1121635: Allison drove home at 70 mph, but her brother Austin, who left at the same time, could drive at only 54 mph. When Allison arrived, Austin still had 48 miles to go. How far did Allison drive? \n" ); document.write( "
Algebra.Com's Answer #737588 by ikleyn(52832)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let t be the time they drove.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then you have this \"distance\" equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 70*t = 54*t + 48,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "saying that both parts of the equation represent the same distance. Then\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 70t - 54t = 48,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 16t = 48 ====> t = 48/16 = 3 hours.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the distance is 3*70 = 210 miles.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are other ways to solve the problem, but this one is the simplest, probably.\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 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( " |