document.write( "Question 338251: A painter can paint a racquetball court in 8 hours. His assistant needs an additional 2 hours to paint the same court working by himself. How long will it take both of them working together to paint the court. Thank You \n" ); document.write( "
Algebra.Com's Answer #242468 by scott8148(6628) You can put this solution on YOUR website! each one paints a FRACTION of the court , based on their individual rates \n" ); document.write( "___ the fractions sum to 1 (the whole court)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x=\"combined time\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x/8) + [x/(8+2)] = 1 ___ (x/8) + (x/10) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by 40 (LCD) ___ 5x + 4x = 40 ___ 9x = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "dividing by 9 ___ x = 40/9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 hr 26 min 40 sec \n" ); document.write( " |