document.write( "Question 799244: A motorist travelled a total distance of 432 km and had an average speed of 80km/h on highways and an average speed of 32km/h while passing through towns. If the journey took 6 hours, find how long the motorist spent travelling on highways. \n" ); document.write( "
Algebra.Com's Answer #482569 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the distance on highway be x-------------80km/h \n" ); document.write( "distance in town = 432-x--------------------32km/h\r \n" ); document.write( "\n" ); document.write( "time on highway + time in town = 6\r \n" ); document.write( "\n" ); document.write( "t=d/r\r \n" ); document.write( "\n" ); document.write( "x/80 + (432-x)/32 = 6\r \n" ); document.write( "\n" ); document.write( "32x+80(432-x)=6*32*80\r \n" ); document.write( "\n" ); document.write( "32x+34560-80x=15360 \n" ); document.write( "-48x=-19200\r \n" ); document.write( "\n" ); document.write( "x=400 km on highways \n" ); document.write( " |