document.write( "Question 438028: Sally can clean the house in 6 hours her father can clean the house in 4 hours and her younger brother dennis can completely mess up the house in 8 hours if sally and her father clean and Dennis plays how long will it take to clean the house? \n" ); document.write( "
Algebra.Com's Answer #303012 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Sally can clean the house in 6 hours her father can clean the house in 4 hours \n" ); document.write( " and her younger brother dennis can completely mess up the house in 8 hours \n" ); document.write( " if sally and her father clean and Dennis plays how long will it take to clean the house? \n" ); document.write( ": \n" ); document.write( "Let t = time required when all three are involved \n" ); document.write( ": \n" ); document.write( "Clean is positive \n" ); document.write( "Messing = negative, obviously \n" ); document.write( ": \n" ); document.write( "Let a cleaned house = 1 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Multiply by 24 \n" ); document.write( "24* \n" ); document.write( "Cancel the denominators, results: \n" ); document.write( "4t + 6t - 3t = 24 \n" ); document.write( ": \n" ); document.write( "7t = 24 \n" ); document.write( "t = \n" ); document.write( "t = 3 |