# 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?

$8$ 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]