document.write( "Question 489684: On the first part of a 317 mile trip, a salesperson averaged 58mph. He averaged only 52mph hour on the last part of the trip because of an increaced volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speeds. \n" ); document.write( "
Algebra.Com's Answer #333731 by mananth(16946)![]() ![]() You can put this solution on YOUR website! First part = x miles \n" ); document.write( "second part =317-x miles\r \n" ); document.write( "\n" ); document.write( "x/58 + (317-x)/52 = 5 3/4 \r \n" ); document.write( "\n" ); document.write( "52x+58(317-x)= (23/4) * 52*58\r \n" ); document.write( "\n" ); document.write( "52x+18386 -58x=17342 \n" ); document.write( "-6x=-1044 \n" ); document.write( "x=174 miles -------- first part\r \n" ); document.write( "\n" ); document.write( "174/58 = time first part = 3 hours \n" ); document.write( " |