document.write( "Question 469852: Fred can paint a house in 10 hours. Together, Pat and Fred can paint the house in 8 hours. Which equation, when solved, will produce the number of hours needed for Pat to paint the house alone? \r
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Algebra.Com's Answer #322299 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Fred can paint a house in 10 hours. Together, Pat and Fred can paint the house in 8 hours. Which equation, when solved, will produce the number of hours needed for Pat to paint the house alone? \r
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\n" ); document.write( "Fred time = 10 hr/job ; rate = 1/10 job/hr.
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\n" ); document.write( "Together time = 8 hrs/job ; rate = 1/8 job/hr
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\n" ); document.write( "Pat time = x hr/job ; rate = 1/x job/hr
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\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/10 + 1/x = 1/8
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\n" ); document.write( "or you might use
\n" ); document.write( "8x + 80 = 10x
\n" ); document.write( "2x = 80
\n" ); document.write( "x = 40 hrs (time for Pat to do the job alone)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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