document.write( "Question 794213: If it takes 3 people 4 hours to paint a room, how long will it take 2 people to paint the same room? \n" ); document.write( "

Algebra.Com's Answer #480596 by josgarithmetic(39617) $\"\"$ $\"About$

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So many people painting the room, best is to find the rate of 1 person to paint the room. Then calculate what you want (or are asked).\r
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\n" ); document.write( "\n" ); document.write( "Recognize, \"paint the room\" is 1 task. One job.\r
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\n" ); document.write( "\n" ); document.write( "3 people_______________4 hours______________1 job
\n" ); document.write( "(3/3)=1 people___________3*4 hours____________same 1 job\r
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\n" ); document.write( "\n" ); document.write( "The one-person rate is 12 hours to do the job.
\n" ); document.write( "You can express this as $\"1%2F12\"$ jobs per hour, the one-person rate.\r
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\n" ); document.write( "\n" ); document.write( "How much time for 2 people to do this one job?
\n" ); document.write( "The rates of each person is simply additive.
\n" ); document.write( " $\"highlight%282%281%2F12%29%2Ah=1%29\"$ corresponds to rate*hours=jobs and h is a variable for how many hours.\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight%28h=6%29\"$ .
\n" ); document.write( "Six hours for two people to paint the room.\r
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\n" ); document.write( "Hopefully, you can intuitively understand that \"(3/3)....\" line above in the solution and discussion. \n" ); document.write( "

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