document.write( "Question 765124: 12 workers completed work in 40 days how many works required to complete work in 16 days \n" ); document.write( "

Algebra.Com's Answer #465964 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
12 workers completed work in 40 days
\n" ); document.write( "----------------------------------
\n" ); document.write( "10 times as many workers can do the work in 1/10 of that time, or
\n" ); document.write( "120 workers can complete work in 4 days
\n" ); document.write( "------------------------------------
\n" ); document.write( "1/4 that many workers will take 4 times as long to complete work, or
\n" ); document.write( "30 workers can complete work in 16 days
\n" ); document.write( "-----------------------------------
\n" ); document.write( "You can also say that
\n" ); document.write( "( number of workers ) = k*( 1 / number of days to complete work )
\n" ); document.write( "( this is an inverse variation )
\n" ); document.write( " $\"+12+=+k%2A%281%2F40%29+\"$
\n" ); document.write( " $\"+k+=+40%2A12+\"$
\n" ); document.write( " $\"+k+=+480+\"$
\n" ); document.write( "Now let $\"+w+\"$ = number of workers
\n" ); document.write( " $\"+w+=+k%2A%281%2F16%29+\"$
\n" ); document.write( " $\"+w+=+480%2A%281%2F16%29+\"$
\n" ); document.write( " $\"+w+=+480%2A%28+1%2F16+%29+\"$
\n" ); document.write( " $\"+w+=+30+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );