document.write( "Question 1012073: Mr. Poly Nomial takes 8 hours to paint his room. After working for one hour, he called in a painter to help him. Working together they finished the job in 3 more hours. How long would it take the painter to finish the whole job if he had worked alone?
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Algebra.Com's Answer #627931 by stanbon(75887) $\"\"$ $\"About$

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Mr. Poly Nomial takes 8 hours to paint his room. After working for one hour, he called in a painter to help him. Working together they finished the job in 3 more hours. How long would it take the painter to finish the whole job if he had worked alone?
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\n" ); document.write( "Mr. Poly completes 1/8 of the job in one hour.
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\n" ); document.write( "Mr. Poly rate is 1/8 job/hr
\n" ); document.write( "Helper's rate is 1/x job/hr
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\n" ); document.write( "Together their rate is (1/8 + 1/x) job/hr
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\n" ); document.write( "1/8 + 1/x = (7/8)/3 job/hr
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\n" ); document.write( "1/8 + 1/x = (7/24) job/hr
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\n" ); document.write( "24x + 8*24 = 7*8*x
\n" ); document.write( "32x = 8*24
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\n" ); document.write( "x = 6 hr (time for the painter to do the job alone)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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