document.write( "Question 213071: allan can finish a set of furniture in 8 days. ben can finish the same set of furniture in 6 days. if allan starts working for 2 days, and then ben joined him, in how many days will the set of furniture be finished by the two men? \n" ); document.write( "
Algebra.Com's Answer #160965 by ankor@dixie-net.com(22740)\"\" \"About 
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allan can finish a set of furniture in 8 days.
\n" ); document.write( " ben can finish the same set of furniture in 6 days.
\n" ); document.write( " if allan starts working for 2 days, and then ben joined him,
\n" ); document.write( " in how many days will the set of furniture be finished by the two men?
\n" ); document.write( ":
\n" ); document.write( "let t = time working together
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\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "\"%28t%2B2%29%2F8\" + \"t%2F6\" = 1
\n" ); document.write( "Multiply equation by 24, results
\n" ); document.write( "3(t+2) + 4t = 24
\n" ); document.write( "3t + 6 + 4t = 24
\n" ); document.write( "3t + 4t = 24 - 6
\n" ); document.write( "7t = 18
\n" ); document.write( "t = \"18%2F7\"
\n" ); document.write( "t = 2.57 days working together
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\n" ); document.write( "Check
\n" ); document.write( "\"4.57%2F8\" + \"2.57%2F6\" =
\n" ); document.write( ".57 + .43 = 1
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