document.write( "Question 188134: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? \r
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document.write( "I have several question like this and don't know how to set it up. \n" );
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Algebra.Com's Answer #141013 by stanbon(75887) ![]() You can put this solution on YOUR website! If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? \n" ); document.write( "I have several question like this and don't know how to set it up. \n" ); document.write( "------------ \n" ); document.write( "Sally DATA: \n" ); document.write( "Time = 4 hr/job ; rate = 1/4 job/hr \n" ); document.write( "--------------------------- \n" ); document.write( "John DATA: \n" ); document.write( "Time = 6 hr/job ; rate = 1/6 job/hr \n" ); document.write( "----------------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "Time = x hr/job ; rate = 1/x job/hr \n" ); document.write( "======================================== \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/4 + 1/6 = 1/x \n" ); document.write( "---- \n" ); document.write( "Multiply thru by 12x to get: \n" ); document.write( "3x + 2x = 12 \n" ); document.write( "5x = 12 \n" ); document.write( "x = 12/5 hr or 2 hr and 24 minutes \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |