document.write( "Question 966358: Tom and Vivian are painting their house. If Tome were to work alone, it would take him 8 hours to paint the house. Together, Tome and Vivian can paint the house in 6 hours. How long would it take Vivian to paint the house alone?\r
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Algebra.Com's Answer #590612 by ramkikk66(644) $\"\"$ $\"About$

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Tom and Vivian are painting their house. If Tome were to work alone, it would take him 8 hours to paint the house. Together, Tome and Vivian can paint the house in 6 hours. How long would it take Vivian to paint the house alone?\r
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document.write( "Let the total effort required to paint be P.\r\n" );
document.write( "Tom does P/8 work in an hour\r\n" );
document.write( "Let Vivian take x hours to paint alone.\r\n" );
document.write( "So in one hour, Vivian does P/x of the work\r\n" );
document.write( "Working together, in one hour they do P/6 of the work (since they complete P in 6 hours)\r\n" );
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document.write( "Which gives the equation:\r\n" );
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document.write( "or (since P cancels out)\r\n" );
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document.write( "Simplifying by multipling by 24*x throughout\r\n" );
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document.write( " or \r\n" );
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document.write( "So working alone, Vivian would take  hours to paint the house.\r\n" );
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document.write( "Hope this helps!\r\n" );
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