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)\"\" \"About 
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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
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\n" ); document.write( "Clean is positive
\n" ); document.write( "Messing = negative, obviously
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\n" ); document.write( "Let a cleaned house = 1
\n" ); document.write( ":
\n" ); document.write( "\"t%2F6\" + \"t%2F4\" - \"t%2F8\" = 1
\n" ); document.write( "Multiply by 24
\n" ); document.write( "24*\"t%2F6\" + 24*\"t%2F4\" - 24*\"t%2F8\" = 24(1)
\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 = \"24%2F7\"
\n" ); document.write( "t = 3\"3%2F7\" hrs which is 3 + \"3%2F7\"*60 = 3 hrs 25.7 min
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