SOLUTION: a work is done by 12 workwrs in 45 days. if after 15 days 3 workers shift another place. then how much days to complete the work. give answer with detail

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Question 794322: a work is done by 12 workwrs in 45 days. if after 15 days 3 workers shift another place. then how much days to complete the work. give answer with detail
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a work is done by 12 workers in 45 days.
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# of workers and # of days are inversely related::
d = k/w
45 = k/12
k = 12*45 = 540
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Equation for this problem:::
d = 540/w
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"a work is done by 12 workers in 45 days".
Note:: Each worker does 45/12 = 15/4 of the job each day.
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if after 15 days 3 workers shift another place.
Note: after 15 days (1/3) of the job is completed; (2/3) remain to be done.
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then how much days to complete the work. give answer with detail
3 workers shift another place so there are 9 workers to do (2/3) of the job.
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2/3 of the job requires (2/3)540 = 360 man/days
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Ans: 360/9 = 40 days
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Cheers,
Stan H.