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Suppose that the time it takes to do a job is inversely proportional to the number of workers. That is, the more workers on the job the less time required to complete the job. Is it takes 2 workers 8 days to finish a job, how long will it take 8 workers?

Answer 1

Hazel Anglin

If it takes 2 workers 8 days to finish a job, it will take 8 workers 2 days to finish the same job.

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Answer 2

Abigail Allen

#8# workers will finish the job in #2# days.

Let the number of workers be #w# and days reqired to finish a job is #d#. Then #w prop 1/d or w = k* 1/d or w*d= k ; w=2 , d=8 :. k=2*8=16 :.w*d=16# . [k is constant]. Hence the equation for job is #w*d=16 ; w=8, d=? :. d=16/w=16/8=2 # days.

#8# workers will finish the job in #2# days. [Ans]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.