document.write( "Question 332717: sam drove 500km from city A to City B in 5.5hr. he drove part of the way at 100km/h and the rest of the way at 80km/h. how far did he drive at each speed? \n" ); document.write( "
Algebra.Com's Answer #238423 by mananth(16946)![]() ![]() You can put this solution on YOUR website! total distance = 500 km \n" ); document.write( ".. \n" ); document.write( "he drove x km at 100 km/h \n" ); document.write( "500-x at 80 km/h \n" ); document.write( ".. \n" ); document.write( "time he drove at 100 = x/100 \n" ); document.write( "time he drove at 80 = (500-x)/ 80 \n" ); document.write( ".. \n" ); document.write( "total time he drove = 5.5 hours = 11/2 hours \n" ); document.write( ".. \n" ); document.write( "x/100+(500-x)/80 = 11/2 \n" ); document.write( "8x+10(500-x) / 800 = 11/2 \n" ); document.write( "8x+5000-10x / 800 = 11/2 \n" ); document.write( "-2x+5000 / 800 = 11/2 \n" ); document.write( "2(-2x+5000)= 11*800 \n" ); document.write( "-4x+10000=8800 \n" ); document.write( "-4x=-10000+8800 \n" ); document.write( "-4x=-1200 \n" ); document.write( "x=-1200/-4 \n" ); document.write( "x=300 km. the distance he drove at 100km/h \n" ); document.write( "Balance 200 km he drove at 80 km/h \n" ); document.write( " |