document.write( "Question 46028: one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone? \n" ); document.write( "

Algebra.Com's Answer #30544 by Paul(988) $\"\"$ $\"About$

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One maid = 3x
\n" ); document.write( "Another maid = x
\n" ); document.write( "EQUATION:
\n" ); document.write( " $\"1%2Fx%2B1%2F3x=1%2F3\"$
\n" ); document.write( " $\"%283x%29%2B%28x%29=%28x%29%283x%29%2F%283%29\"$
\n" ); document.write( " $\"4x=3x%5E2%2F3\"$
\n" ); document.write( " $\"12x=3x%5E2\"$
\n" ); document.write( " $\"x%5E2-4x=0\"$
\n" ); document.write( "x=4
\n" ); document.write( "4(3)=12
\n" ); document.write( "Hence, ot would take her 12 hours to clean the house alone.
\n" ); document.write( "Paul. \n" ); document.write( "

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