Question

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

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

Explanation:

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]