SOLUTION: please answer sir,ma'am"mark contracted 15 skilled workers to finish cementing a certain walk of uniform width in 16 days.after 8 days of work,6 of them got sick and were not repla

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Question 347863: please answer sir,ma'am"mark contracted 15 skilled workers to finish cementing a certain walk of uniform width in 16 days.after 8 days of work,6 of them got sick and were not replaced until 4 days after.he wants the job to be on time .how many should he hire?"
thank you

Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Originally, the job required 15%2A16=240 worker-days to complete.
They put in 15%2A8=120 worker-days in 8 days.
The reduced crew of 11 put in 11%2A4=44 worker-days in 4 days.
Look at the worker-days remaining.
W%2AD%2B44%2B120=240
W%2AD%2B164=240
W%2AD=76
.
.
.
76 worker-days of output are required to finish the job.
He has used up 8%2B4=12 days aleready and he has 4 days if he wants to stick to the 16 day schedule.
W%2A4=76
W=19
He needs to have 19 workers to make his schedule.
Since he's already hired 11 workers, he should hire an additional highlight%288%29 workers.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
mark contracted 15 skilled workers to finish cementing a certain walk of uniform width in 16 days.
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Total man-days is 15*16 = 240
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after 8 days of work 15*8 = 120 man-days of work are completed
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With 6 men sick for 3 days, the 9 men complete 9*3 = 27 man-days
of work, leaving 93 man-days still to be done.
he wants the job to be on time .how many should he hire?"
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There are 4 days remaining to do 223 man-days of work
93/4 = 24 1/4 men
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He needs 10 additional men.
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Cheers,
Stan H.