document.write( "Question 913228: Julius can paint a house three times faster than Ruben. Working together, they can paint a house in 4 days. How long would it take the faster painter if he works alone? \n" ); document.write( "
Algebra.Com's Answer #554356 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Julius can paint a house three times faster than Ruben. Working together, they can paint a house in 4 days. How long would it take the faster painter if he works alone?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let Julius take x hours to paint \n" ); document.write( "he does 1/x of job in 1 hour\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rueben takes 3x hours \n" ); document.write( "Rueben does 1/3x of the job in 1 hour\r \n" ); document.write( "\n" ); document.write( "together they take 4 days \n" ); document.write( "they do1/4 of the job in 1 day \n" ); document.write( "1/x + 1/3x = 1/4\r \n" ); document.write( "\n" ); document.write( "4/3x= 1/4 \n" ); document.write( "3x=16 \n" ); document.write( "x= 16/3 hours \n" ); document.write( "julien Working together, they can paint a house in 4 days. How long would it take the faster painter if he works alone? \n" ); document.write( " |