Final answer:
To find out how long it takes different numbers of workers to complete a job based on worker-days when 6 workers can finish it in 3 days.
Explanation:
To determine how long it would take a different number of workers to complete the same job, you can use the concept of 'worker-days.' Since 6 workers can finish the job in 3 days, the total worker-days needed is 6 workers * 3 days = 18 worker-days.
(a) For 4 workers: If the total worker-days needed is 18 and now there are 4 workers, the number of days would be 18 worker-days / 4 workers = 4.5 days to finish the job.
(b) For 8 workers: Similarly, with 8 workers, it would take 18 worker-days / 8 workers = 2.25 days to complete the job.
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