document.write( "Question 596105: 10 Men begin to work together on a job, but after some days, 4 of them left the job. As a
\n" ); document.write( "result the job which could have been completed in 40 days is completed in 50 days. How
\n" ); document.write( "many days after the commencement of the work did the 4 men leave?
\n" ); document.write( "(a) 25 (b) 30 (c) 10 (d) 15
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Algebra.Com's Answer #377556 by josmiceli(19441)\"\" \"About 
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This says that 10 men could have done the job
\n" ); document.write( "in 40 days.
\n" ); document.write( "1 man would have taken 10 times as long, so
\n" ); document.write( "1 man does the job in 400 days
\n" ); document.write( "Let \"+n+\" = number of days after start when 4 men leave job
\n" ); document.write( "\"+50+-+n+\" = number of days after 4 men leave
\n" ); document.write( "-----------------
\n" ); document.write( "In general, ( rate of working for 1 man ) x ( number of men ) x ( number of days ) = part of job completed
\n" ); document.write( "( 1 job / 400 days ) x ( 10 men ) x ( n days ) = part of job completed
\n" ); document.write( "( 1 job / 400 days ) x ( 6 men ) x ( 50 - n days ) = part of job completed
\n" ); document.write( "The 2 parts add up to 1 job completed
\n" ); document.write( "-----------------
\n" ); document.write( "\"+%28+1%2F400+%29%2A10n+%2B+%28+1%2F400+%29%2A6%2A%28+50+-+n+%29+=+1+\"
\n" ); document.write( "\"+%28+1%2F400+%29%2A%28+10n+%2B+300+-+6n+%29+=+1+\"
\n" ); document.write( "\"+4n+%2B+300+=+400+\"
\n" ); document.write( "\"+4n+=+100+\"
\n" ); document.write( "\"+n+=+25+\"
\n" ); document.write( "\"+50+-+n+=+50+-+25+\"
\n" ); document.write( "\"+50+-+n+=+25+\"
\n" ); document.write( "The 4 men left 25 days after the work started
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+1%2F400+%29%2A10n+%2B+%28+1%2F400+%29%2A6%2A%28+50+-+n+%29+=+1+\"
\n" ); document.write( "\"+%28+1%2F400+%29%2A10%2A25+%2B+%28+1%2F400+%29%2A6%2A%28+50+-+25+%29+=+1+\"
\n" ); document.write( "\"+250%2F400+%2B+%28+6%2A25+%29+%2F+400+=+1+\"
\n" ); document.write( "\"+250+%2B+150+=+400+\"
\n" ); document.write( "\"+400+=+400+\"
\n" ); document.write( "OK
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