SOLUTION: It took a crew of 16 workers 2.75 days to do 1/2 the job. Working at the same rate, how many days will it take 2 workers to complete the job?

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Question 1075179: It took a crew of 16 workers 2.75 days to do 1/2 the job. Working at the same rate, how many days will it take 2 workers to complete the job?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The question is same as, how many days for two workers to do HALF the job?

RT=J for work rate, time, amount of job

Each worker working at rate r becomes n workers together making rate n*r.

16r%2A%282.75%29=1%2F2
Use this to find one-worker rate, r.

Unknown time in days, t:
2 workers
1%2F2 jobs,
-
2r%2At=1%2F2
Solve for t;
substitute for r;
simplify and evaluate t.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is the way I do it. It's a step by step
logic method.
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16 workers take 2.75 days to do 1/2 job
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1/8 of that number of workers will take
8 times as long to do the same job, so
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2 workers take +8%2A2.75+=+22+ days to do 1/2 job
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It will take the same number of workers twice as long
to do twice that amount of work, so
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2 workers take 44 days to complete the job ( 1 job )