Question 1150533
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The entire job is  6*6 = 36  worker-days  (man-days,  as it was called long time ago . . . ).



Therefore, &nbsp;9 workers will complete this job in  &nbsp;&nbsp;{{{36/9}}} = 4 days.   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>



<U>ANSWER</U>.  &nbsp;&nbsp;9 workers will complete this job in &nbsp;4 &nbsp;days.
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I remember, &nbsp;we solved such problems when I was at my &nbsp;4-th &nbsp;or &nbsp;5-th grade class.


All the students loved this type of problems, &nbsp;because &nbsp;EVERYBODY &nbsp;knew how to solve them.


So, &nbsp;ignore explanations from &nbsp;Edwin &nbsp;(with his Least Common Multiplies - they are &nbsp;IRRELEVANT), 



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and use the mantra from my post . . . 



/\/\/\/\/\/\/\


After reading the post by @greenestamps.


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    Yes, you can use the method these two gentlemen propose you.


    But it is the same, as to fly from Chicago  to Indianapolis with intermediate landing in Denver.


    The way I propose in my post is the standard direct straightforward shortest Algebra way for this type of problems.
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