document.write( "Question 344915: andrew can paint the neighbor's house 3 times as fast as bailey. the year they worked together it took them 2 days. how long would it take for each one to paint hte house alone? \n" ); document.write( "
Algebra.Com's Answer #246786 by stanbon(75887)\"\" \"About 
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andrew can paint the neighbor's house 3 times as fast as bailey.
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\n" ); document.write( "Let bailey's time be 3x days/job ;then his rate is 1/3x job/day
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\n" ); document.write( "Andrew's time is x days/job ; andrew's rate is 1d/x job/day
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\n" ); document.write( "\n" ); document.write( "the year they worked together it took them 2 days.
\n" ); document.write( "Together time = 2 days/job ; together rate = 1/2 job/day
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\n" ); document.write( "\n" ); document.write( " how long would it take for each one to paint the house alone?
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/3x + 1/x = 1/2
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\n" ); document.write( "Multiply thru by 6x to get:
\n" ); document.write( "2 + 6 = 3x
\n" ); document.write( "x = 8/3 days (time for andrew to do the job alone).
\n" ); document.write( "3x = 8 days (time for bailey to do the job alone).
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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