document.write( "Question 747992: how to solve Marcus and Will are painting a barn. Marcus paints twice as fast as Will. On the first day, they have worked for 6 h and completed 1/3 of the job when Will gets injured. If Marcus has to complete the rest of the job by himself, how many additional hours will it take him? answer \n" ); document.write( "
Algebra.Com's Answer #455282 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
This one makes more sense than your almost identical posting. Completed 1/3 of the job and Will gets injured.\r
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\n" ); document.write( "\n" ); document.write( "Marcus rate, 2/x jobs per hour
\n" ); document.write( "Will rate, 1/x jobs per hour.
\n" ); document.write( "time working together was 6 hours, and 1/3 of the job was completed.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28%282%2Fx%2B1%2Fx%29%2A6=1%2F3%29\"
\n" ); document.write( "When we find \"x\" here, we will know how to compute the rate for each of Marcus and Will.\r
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\n" ); document.write( "\n" ); document.write( "Finding x:
\n" ); document.write( "\"%28%282%2B1%29%2Fx%29%2A6=1%2F3\"
\n" ); document.write( "\"3%2Fx=1%2F%2818%29\"
\n" ); document.write( "\"x%2F3=18\"
\n" ); document.write( "\"x=18%2F3=6\"\r
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\n" ); document.write( "\n" ); document.write( "RATES OF THE TWO PAINTERS:
\n" ); document.write( "Marcus, \"2%2Fx=2%2F6=1%2F3\", THREE hours to do ONE job, alone.
\n" ); document.write( "Will, \"1%2F6\", six hours to do one job, if alone.\r
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\n" ); document.write( "\n" ); document.write( "If Marcus does the rest of the job himself, how long will this take him? Remember, 1/3 of the job was done, so Marcus will do 2/3 of the job.
\n" ); document.write( "The situation is a uniform rates situation and so we have \"r%2At=j\", where r is rate in jobs per hour, t is time in hours, and j is how many jobs.\r
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\n" ); document.write( "\n" ); document.write( "His rate is (1/3), so \"highlight%28%281%2F3%29y=%282%2F3%29%29\" where y is the number of hours to do this 2/3 of the job.
\n" ); document.write( "\"y=%283%2F1%29%282%2F3%29\"
\n" ); document.write( "\"y=%283%2F3%29%282%2F1%29\"
\n" ); document.write( "\"highlight%28y=2%29\", TWO HOURS MORE THAN when they worked together.
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