document.write( "Question 682028: carlos and sheri drove a total of 258 miles in 5 hours. carlos drove the first part of the trip and averaged 53 miles per hour. sheri drove the remander of the trip and averaged 51 miles per hour. for approximately how many hours did sheri drive? \n" ); document.write( "
Algebra.Com's Answer #422988 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let carlos drive x miles \n" ); document.write( "speed carlos = 53mi/h\r \n" ); document.write( "\n" ); document.write( "sheri drives 258-x miles \n" ); document.write( "speed sheri 51 mi/h\r \n" ); document.write( "\n" ); document.write( "Time carlos drove + time cheri drove = 5 hours\r \n" ); document.write( "\n" ); document.write( "t=d/r \n" ); document.write( "x/53 + (258-x)/51 = 5\r \n" ); document.write( "\n" ); document.write( "LCD = (53)*(51)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "51x+13674-53x=5*51*53\r \n" ); document.write( "\n" ); document.write( "-2x=-13674+13515 \n" ); document.write( "-2x=-159 \n" ); document.write( "/-2 \n" ); document.write( "x=79.5 miles\r \n" ); document.write( "\n" ); document.write( "Sheri drove for 258-79.5\r \n" ); document.write( "\n" ); document.write( "=178.5\r \n" ); document.write( "\n" ); document.write( "t=d/r \n" ); document.write( "sheri drove for 178.5/51\r \n" ); document.write( "\n" ); document.write( "= 3.5 hours\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |