document.write( "Question 476353: It takes me 4 less hours to paint a room than my husband would take to paint the same room. If they can paint this size room in 1 ½ hours working together, how long would each of them take to paint the room alone?\r
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Algebra.Com's Answer #326620 by stanbon(75887)\"\" \"About 
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It takes me 4 less hours to paint a room than my husband would take to paint the same room. If they can paint this size room in 1 ½ hours working together, how long would each of them take to paint the room alone? \r
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\n" ); document.write( "Husband DATA:
\n" ); document.write( "time = x hrs/job : rate = 1/x job/hr
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\n" ); document.write( "\"My\" DATA:
\n" ); document.write( "time = x-4 hrs/job ; rate = 1/(x-4)job/hr
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\n" ); document.write( "Together DATA:
\n" ); document.write( "time = 3/2 hrs/job ; rate = 1/(3/2) = 2/3 job/hr
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\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/x + 1/(x-4) = 2/3
\n" ); document.write( "---
\n" ); document.write( "3(x-4) + 3x = 2x(x-4)
\n" ); document.write( "6x - 12 = 2x^2-8x
\n" ); document.write( "2x^2-14x + 12 = 0
\n" ); document.write( "x^2 -7x + 6 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-6)(x-1) = 0
\n" ); document.write( "x = 6 hrs (Husband's time to do the job)
\n" ); document.write( "x-4 = 2 hrs (My's time to do the job)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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