document.write( "Question 205843: In doing a project, a group of workers can complete the work in a certain number of days. If they are 12 more workers, the job will be completed 3 days sooner. If there are 6 workers less, the job will be delayed by 2 days. Find the number of workers and days required originally. \n" ); document.write( "

Algebra.Com's Answer #155519 by scott8148(6628) $\"\"$ $\"About$

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it takes a certain number of worker-days (like man-hours) to complete the project ___ w * d\r
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\n" ); document.write( "\n" ); document.write( "\"If they are 12 more workers, the job will be completed 3 days sooner\"
\n" ); document.write( "___ w * d = (w + 12) * (d - 3)
\n" ); document.write( "___ wd = wd - 3w + 12d - 36 ___ 3w + 36 = 12d ___ w + 12 = 4d\r
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\n" ); document.write( "\n" ); document.write( "\"If there are 6 workers less, the job will be delayed by 2 days\"
\n" ); document.write( "___ w * d = (w - 6) * (d + 2)
\n" ); document.write( "___ wd = wd + 2w - 6d - 12 ___ 6d + 12 = 2w ___ 3d + 6 = w\r
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\n" ); document.write( "\n" ); document.write( "substituting ___ (3d + 6) + 12 = 4d ___ 18 = d\r
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\n" ); document.write( "\n" ); document.write( "substituting ___ 3(18) + 6 = w ___ 60 = w \n" ); document.write( "

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