document.write( "Question 248635: A 3-men crew can do a certain job in 3 weeks and 2 days, if we are to hire 4 men crew instead, with the same rate as the first crew, how long would it take the 4-men crew to do the same job? Note: a week contains 6 working days and a work day is 8 hours. \n" ); document.write( "

Algebra.Com's Answer #181168 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
A good question to ask is: If 3 men can do a job in a certain time,
\n" ); document.write( "how long will it take 1 man to do the job working alone?
\n" ); document.write( "given:
\n" ); document.write( "A 3-men crew can do a certain job in 3 weeks and 2 days
\n" ); document.write( "Using logic, it will take 1 man 3 times as long to do the same job
\n" ); document.write( "So, 1 man will take 9 weeks and 6 days to do the job
\n" ); document.write( "(9 weeks) x (6 working days/week) = 54 working days
\n" ); document.write( "54 days + 6 days = 60 days
\n" ); document.write( "(60 days) x (8 hours/day) = 480 hours
\n" ); document.write( "-----------------------------
\n" ); document.write( "Using logic again, It will take 4 men 1/4 of the time that it
\n" ); document.write( "takes 1 man to do the job
\n" ); document.write( " $\"%281%2F4%29%2A480+=+120\"$ hrs
\n" ); document.write( "(120 hrs) x (1 day/8 hrs) = 15 days
\n" ); document.write( "(15 days) x (1 week/6 days) = 2.5 weeks
\n" ); document.write( "(.5 weeks) x (6 days/week) = 3 days
\n" ); document.write( "It will take the 4 men 2 weeks and 3 days to do the job \n" ); document.write( "

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