document.write( "Question 1125204: 8 workers working at the same rate can finish some work in 16 days.After working for 4 days,2 workers felt sick and never turned back.How many days did the they take to complete the work? \n" ); document.write( "
Algebra.Com's Answer #741512 by josgarithmetic(39617)\"\" \"About 
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Say it like this:\r
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\n" ); document.write( "Eight workers, each working at the same rate, can finish a quantity of work in 16 days. After working for 4 days,2 workers felt sick and never returned back. How many days did the the remaining workers take to complete the work?
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\n" ); document.write( "\n" ); document.write( "r, the rate of 1 worker
\n" ); document.write( "\"8r%2A16=1\", using \"a quantity of work\" as 1 whole piece of work.\r
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\n" ); document.write( "\n" ); document.write( "The two separate numbers of workers for different time quantities, x for the unknown time quantity:
\n" ); document.write( "\"8r%2A4%2B6r%2Ax=1%2C+completing+the+work+with+the+6+remaining+workers\"\r
\n" ); document.write( "\n" ); document.write( "\"6rx=1-42r\"
\n" ); document.write( "\"6%281%2F%288%2A16%29%29x=1-32%281%2F%288%2A16%29%29\"
\n" ); document.write( "\"%283%2F%2864%29%29x=1-1%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%281-1%2F4%29%2864%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%283%2F4%29%2864%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=64%2F4\"\r
\n" ); document.write( "\n" ); document.write( "x=16\r
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\n" ); document.write( "\n" ); document.write( "A different try:\r
\n" ); document.write( "\n" ); document.write( "After the full eight worked for 4 days, \"3%2F4\" of the job still needed to be done. That is, 6 workers must work for x days to complete \"3%2F4\" of the job.\r
\n" ); document.write( "\n" ); document.write( "\"6r%2Ax=3%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%283%2F4%29%281%2F6%29%281%2Fr%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%281%2F8%29%281%2Fr%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%281%2F8%29%288%2A16%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=16%29\"\r
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\n" ); document.write( "\n" ); document.write( "16 more days
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