document.write( "Question 1030927: 40 men can complete a work in 40 days. they started the work together. but at the end of each 10th day 5men left the job the work would have been completed in \n" ); document.write( "
Algebra.Com's Answer #645661 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
The question is not clear; but still what is unknown in the description can be solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First sentence:
\n" ); document.write( "\"40%2Ar%2A40=1\", because the rate for the fourty men is \"40r\", and the ONE \"work\" would be done in 40 days.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What should be the second sentence composed of two periods of time:
\n" ); document.write( "\"40r%2A10%2B%2840-5%29r%2Ax=1\", because the men working in the two time periods of 10 days and x days would do ONE \"work\". Notice the \"40-5\" for the number of workers for the time period of x days. That is 35 men working for x days.
\n" ); document.write( "-
\n" ); document.write( "Solve this equation for x.
\n" ); document.write( "\"400r%2B35rx=1\"
\n" ); document.write( "\"35rx=1-400r\"
\n" ); document.write( "\"highlight_green%28x=%281-400r%29%2F%2835r%29%29\"-------very important but not yet the finished formula.
\n" ); document.write( "-
\n" ); document.write( "The question to ask should be like, how many days after the 5 men leave the group do the remaining men finish the job?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Look at the first equation now.
\n" ); document.write( "\"40r%2A40=1\"
\n" ); document.write( "\"40%5E2%2Ar=1\"
\n" ); document.write( "\"r=1%2F1600\"-------this is the ONE MAN work rate. Substitute this into the green-outlined formula for x. Evaluate.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%281-400%281%2F1600%29%29%2F%2835%281%2F1600%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%281-1%2F4%29%2F%2835%2F1600%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%283%2F4%29%281600%2F35%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%283%2A4%2A4%2A100%29%2F%284%2A7%2A5%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%283%2A4%2A20%29%2F7\"\r
\n" ); document.write( "\n" ); document.write( "\"x=240%2F7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Looks like \"highlight%28x=34%262%2F7%29\", a fraction of a day more than 34 days.
\n" ); document.write( "
\n" );