document.write( "Question 1086672: 4 men planned to complete a piece of work in 10 days,3 men worked for 4 days after which 4 men were employed.find the total number of days taken to complete the work? \n" ); document.write( "

Algebra.Com's Answer #700891 by josmiceli(19441) $\"\"$ $\"About$

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4 men planned to complete a piece of work in 10 days
\n" ); document.write( "1 man will take 4 times as long to do the work
\n" ); document.write( "The rate for 1 man is [ 1 job ] / [ 40 days ]
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "In 4 days 1 man does $\"+4%2F40++=+1%2F10+\"$ of the job
\n" ); document.write( "In 4 days 3 men do $\"+3%2F10+\"$ of the job
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "There is $\"+1+-+3%2F10+=+7%2F10+\"$ of the job left to do
\n" ); document.write( "Let $\"+t+\"$ = time in days for 4 men to do $\"+7%2F10+\"$
\n" ); document.write( "of the job
\n" ); document.write( "One of the men will take 4 times as long to do $\"+7%2F10+\"$
\n" ); document.write( "of the job, so $\"+%28%28+7%2F10+%29%29+%2F+%28%28+4t+%29%29+\"$ is the rate for 1 man
\n" ); document.write( "-----------------
\n" ); document.write( "The rate for 1 man is [ 1 job ] / [ 40 days ], so I can say:
\n" ); document.write( " $\"+1+%2F+40+=+%28%28+7%2F10+%29%29+%2F+%28%28+4t+%29%29+\"$
\n" ); document.write( " $\"+4t+=+40%2A%28+7%2F10+%29+\"$
\n" ); document.write( " $\"+t+=+10%2A%28+7%2F10+%29+\"$
\n" ); document.write( " $\"+t+=+7+\"$ days
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\n" ); document.write( "The total nuber of days to complete the work is:
\n" ); document.write( " $\"+4+%2B+7+=+11+\"$ days
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\n" ); document.write( "Definitely get a 2nd opinion on this. I could easily
\n" ); document.write( "go off track on this.\r
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