document.write( "Question 333049: How do you solve:\r
\n" ); document.write( "\n" ); document.write( "A painter can paint a certain house in 12 days. Working with his partner, the two can paint the house in 4 days. How long would it take the partner working alone to paint the house?\r
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Algebra.Com's Answer #238648 by vksarvepalli(154)\"\" \"About 
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A painter can paint a certain house in 12 days\r
\n" ); document.write( "\n" ); document.write( "so in one day he can paint 1/12 th of the house\r
\n" ); document.write( "\n" ); document.write( "Working with his partner, the two can paint the house in 4 days\r
\n" ); document.write( "\n" ); document.write( "so in one day they both together can paint 1/4th of the house\r
\n" ); document.write( "\n" ); document.write( "let the partner paint 1/x th of the house in one day.\r
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\n" ); document.write( "\n" ); document.write( "so 1/12 + 1/x = 1/4\r
\n" ); document.write( "\n" ); document.write( "=> 1/x = 1/4 - 1/12\r
\n" ); document.write( "\n" ); document.write( "=> 1/x = 1/6\r
\n" ); document.write( "\n" ); document.write( "therefore x = 6 \r
\n" ); document.write( "\n" ); document.write( "so the partner can paint 1/6 th of the house in one day\r
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\n" ); document.write( "\n" ); document.write( "so he will take 6 days to paint the house completely
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