document.write( "Question 1123152: Kathryn started biking to the study group traveling 10 mph, after some time the bike got a flat so Kathryn walked the rest of the way, traveling 3 mph. If the total trip to the study group took 9 hours and it was 55 miles away, how long did Kathryn travel at each speed? \n" ); document.write( "
Algebra.Com's Answer #739415 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let t be the time she biked.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The she walked for (9-t) hours.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total distance is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 10t + 3*(9-t) = 55\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 10t + 27 - 3t = 55\r\n" ); document.write( "\r\n" ); document.write( " 7t = 55 - 27 = 28\r\n" ); document.write( "\r\n" ); document.write( " t = 28/7 = 4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. She biked 4 hours and walked 9-4 = 5 hours.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Check. 1)10*4 + 3*5 = 55 miles. ! 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( "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( " |