document.write( "Question 804615: Carlos and Maria drove a total of 311 miles in 6 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 51 miles per hour. For approximately how long did Maria drive? \n" ); document.write( "
Algebra.Com's Answer #484851 by mananth(16946)![]() ![]() You can put this solution on YOUR website! total time = 6 hours . total distance = 311 miles\r \n" ); document.write( "\n" ); document.write( "let Carlos drive for x miles\r \n" ); document.write( "\n" ); document.write( "Maria drives for 311-x miles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Carlos --speed = 53 mph: Carlos time = x/53\r \n" ); document.write( "\n" ); document.write( "Maris speed = 53 mph: Maria time = (311-x)/51\r \n" ); document.write( "\n" ); document.write( "Carlos time + Maria time = 6 hours\r \n" ); document.write( "\n" ); document.write( "x/53 + (311-x)/51 =6\r \n" ); document.write( "\n" ); document.write( "51x+53(311-x)= 6*51*53\r \n" ); document.write( "\n" ); document.write( "51x+16483-53x=16218\r \n" ); document.write( "\n" ); document.write( "-2x=-265 \n" ); document.write( "/-2 \n" ); document.write( "x=137.5 miles------ distance driven by Carlos \n" ); document.write( " |