SOLUTION: I need some help with this word problem. Thanks. One-half of a road construction project was completed by six workers in 12 days. Working at the same rate, what is the smallest nu

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Question 139279: I need some help with this word problem. Thanks.
One-half of a road construction project was completed by six workers in 12 days. Working at the same rate, what is the smallest number of workers needed to finish the rest of the job in exactly four days?
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
6 workers
1/2 job
12 days

So:
6 workers
%281%2F2%29%281%2F12%29=1%2F24 job in 1 day

So:
1 worker
%281%2F24%29%281%2F6%29=1%2F144 job in 1 day

1/2 job
4 days
means 1/8 job in 1 day

To do 1/8 job in 1 day, you need %281%2F8%29%2F%281%2F144%29=144%2F8=18 workers.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One-half of a road construction project was completed by six workers in 12 days. Working at the same rate, what is the smallest number of workers needed to finish the rest of the job in exactly four days?
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# of workers and days of work are indirectly related
# of workers and work done are directly related.
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# = k*work done/days
Find k:
6 = k*(1/2)/12
72 = k(1/2)
k = 144
EQUATION:
# of workers = 144*work done/# of days
# = 144*(1/2)/4
# of workers = 144/8 = 18
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Cheers,
Stan H.