document.write( "Question 233334: working together, jamie and Juan can complete a job in 6 hours. It would take Jamie 9 hours longer than Juan to do the job alone. How long would it take Juan alone? \n" ); document.write( "
Algebra.Com's Answer #172236 by stanbon(75887)\"\" \"About 
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working together, jamie and Juan can complete a job in 6 hours. It would take Jamie 9 hours longer than Juan to do the job alone. How long would it take Juan alone?
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\n" ); document.write( "together rate = 1/6 job/hr
\n" ); document.write( "Jamie rate = 1/(x+9) job/hr
\n" ); document.write( "Juan rate = 1/x job/hr
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\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/x + 1/(x+9) = 1/6
\n" ); document.write( "(x+9+x)/(x(x+9)) = 1/6
\n" ); document.write( "(2x+9)/[x^2+9x] = 1/6
\n" ); document.write( "Cross-multiply and solve for \"x\":
\n" ); document.write( "12x + 54 = x^2+9x
\n" ); document.write( "x^2 - 3x - 54 = 0
\n" ); document.write( "x^2 - 9x + 6x - 54 = 0
\n" ); document.write( "x(x-9) + 6(x-9) = 0
\n" ); document.write( "(x-9)(x+6) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 9 hrs (amount of time it would take Juan to do the job)
\n" ); document.write( "x+9 = 18 hrs (amt. of time for Jamie to do the job)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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