document.write( "Question 90003: Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours. How long would it take the two painters together to paint the house? \n" ); document.write( "
Algebra.Com's Answer #65336 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Painter #1 = x/12 \n" ); document.write( "Painter #2 = x/8 \n" ); document.write( "Total job = 1 job \n" ); document.write( ". \n" ); document.write( "x/12 + x/8 = 1 [simplify] \n" ); document.write( "(24)(x/12 + x/8 = 1) [multiply through by a common denominator to clear the fractions] \n" ); document.write( ". \n" ); document.write( "2x+3x=24 [solve for the x-term] \n" ); document.write( "5x=24 \n" ); document.write( "x=24/5 \n" ); document.write( "x=4.8 hours\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( "Check by plugging (x=4.8) back into the original equation. \n" ); document.write( " |