document.write( "Question 1027602: Working alone, a painter can paint a living room in 6 hours. A second painter can do the job in 9 hours. How long will it take them to paint the room if they work together? State what x represents, state the equation, and then state the answer. \n" ); document.write( "
Algebra.Com's Answer #642802 by ikleyn(52778)\"\" \"About 
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\n" ); document.write( "Working alone, a painter can paint a living room in 6 hours. A second painter can do the job in 9 hours. How long will it take them to paint the room if they work together? State what x represents, state the equation, and then state the answer.
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document.write( "Since the first painter can paint a living room in 6 hours, he paints \"1%2F6\" of the living room area in one hour. It is his rate.\r\n" );
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document.write( "The other painter paints \"1%2F9\" of the living room area in one hour.\r\n" );
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document.write( "When the two painters work together, they paint \"1%2F6+%2B+1%2F9\" = \"3%2F18+%2B+2%2F18\" = \"5%2F18\" of the room area per hour.\r\n" );
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document.write( "Hence, they need \"18%2F5\" = \"3\"\"3%2F5\" hour = 3 hours and 36 minutes to complete the job, if they work together.\r\n" );
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document.write( "It is typical problem on joint work.\r\n" );
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document.write( "For a variety of similar solved jpint-work problems see the lesson Using fractions to solve word problems on joint work in this site, \r\n" );
document.write( "and also associated lessons.\r\n" );
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