document.write( "Question 1003709: Working together, it takes Sam, Jenna, and Frank two hours to paint one room. When Sam is working alone, she can paint one room in 6 hours. When Jenna works alone, she can paint one room in four hours. \r
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Algebra.Com's Answer #620352 by Edwin McCravy(20056) $\"\"$ $\"About$

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Working together, it takes Sam, Jenna, and Frank two hours to paint
\n" ); document.write( "one room. When Sam is working alone, she can paint one room in 6
\n" ); document.write( "hours. When Jenna works alone, she can paint one room in four
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\n" ); document.write( "\n" ); document.write( "When Sam is working alone, she can paint one room in 6 hours.
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document.write( "Since Sam can paint 1 room in 6 hours, her painting rate is \r\n" );
document.write( "1 room per 6 hours or  or\r\n" );
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\n" ); document.write( "When Jenna works alone, she can paint one room in four hours.
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 \r\n" );
document.write( "Since Jenna can paint 1 room in 4 hours her painting rate is\r\n" );
document.write( "1 room per 4 hours or  or\r\n" );
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\n" ); document.write( "Determine how long it would take Frank to paint one room on his own.
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document.write( "Suppose that when Frank works alone, he can paint one room in x hours.\r\n" );
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document.write( "Since Frank can paint 1 room in x hours, his painting rate is \r\n" );
document.write( "1 room per x hours or  or\r\n" );
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document.write( "

\n" ); document.write( "Working together, it takes Sam, Jenna, and Frank two hours to paint
\n" ); document.write( "one room.
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document.write( "Since all three working together can paint 1 room in 2 hours, the sum \r\n" );
document.write( "of their painting rates is 1 room per 2 hours\r\n" );
document.write( "or  or \r\n" );
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document.write( "So the equation comes from that fact, that the sum of their painting \r\n" );
document.write( "rates is :\r\n" );
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document.write( "Multiply through by LCD 12x\r\n" );
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document.write( "So it will take Frank 12 hours to paint a room by himself.\r\n" );
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document.write( "Edwin

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