document.write( "Question 984793: In Ngomongo village a piece of work can be completed by 45 workers in 10 days .They work for 4 days after which 15 workers were laid off, how many days will it take the remaining workers to complete the work ? \n" ); document.write( "

Algebra.Com's Answer #605622 by josmiceli(19441) $\"\"$ $\"About$

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A piece of work can be completed by 45 workers in 10 days
\n" ); document.write( "1 worker would take $\"+45%2A10+=+450+\"$ days to do the work
\n" ); document.write( "The rate of working for 1 worker is:
\n" ); document.write( "[ 1 job ] / [ 450 days ]
\n" ); document.write( "The fraction of the job that gets done in 4 days is:
\n" ); document.write( " $\"+45%2A%28+1%2F450+%29%2A4+=+.4+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "That leaves $\"+1+-+.4+=+.6+\"$ as a
\n" ); document.write( "fraction of the job that is left
\n" ); document.write( "----------------------------
\n" ); document.write( "There are $\"+45+-+15+=+30+\"$ workers left
\n" ); document.write( "Let $\"+d+\"$ = days for the remaining work to be finished
\n" ); document.write( "[ rate ] = [ rate ]
\n" ); document.write( " $\"+30%2A%28+1%2F450+%29+=+.6+%2F+d+\"$
\n" ); document.write( " $\"+1%2F15+=+6%2F10d+\"$
\n" ); document.write( " $\"+d+=+%28+6%2F10+%29%2A15+\"$
\n" ); document.write( " $\"+d+=+90%2F10+\"$
\n" ); document.write( " $\"+d+=+9+\"$
\n" ); document.write( "The remaining workers will take 9 days
\n" ); document.write( "to complete the work
\n" ); document.write( "Hope I got it!\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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