document.write( "Question 1056352: If Patricia were to paint her living room alone, it would take 8 hours. Her sister Denise could do the job in 9 hours. How long would it take them working together? \n" ); document.write( "
Algebra.Com's Answer #671500 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If Patricia were to paint her living room alone, it would take 8 hours. Her sister Denise could do the job in 9 hours. How long would it take them working together? \n" ); document.write( "--------------- \n" ); document.write( "Pat DATA:: \n" ); document.write( "time = 8 hrs/job ; rate = 1/8 job/hr \n" ); document.write( "------------------- \n" ); document.write( "Denise DATA: \n" ); document.write( "time = 9 hrs/job ; rate = 1/9 job/hr \n" ); document.write( "----- \n" ); document.write( "Together DATA:: \n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "-------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/8 + 1/9 = 1/x \n" ); document.write( "------------------------ \n" ); document.write( "9x + 2x = 8*9 \n" ); document.write( "11x = 76 \n" ); document.write( "x = 6.9 hrs = 6hr 54sec \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |