Employing 14 people working 8 hours daily, it would take around 188 days to fill 75,000 bags based on the established rate of man-hours from the initial scenario.
To determine the time required to fill 75,000 bags with 14 people working 8 hours daily, we can use the concept of man-hours. In the initial scenario, 12 people filled 30,000 bags in 7 hours, which equals 84,000 man-hours (12 people * 7 hours). This translates to a rate of approximately 3.57 bags per man-hour (30,000 bags / 84,000 man-hours).
Now, to fill 75,000 bags, we can calculate the required man-hours. Using the established rate, we find that it would take around 21,008 man-hours (75,000 bags / 3.57 bags per man-hour). With 14 people working 8 hours daily, they collectively contribute 112 man-hours daily (14 people * 8 hours). Therefore, it would take approximately 188 days (21,008 man-hours / 112 man-hours per day) to fill the 75,000 bags.
The question probable may be:
In a nursery, 12 people fill 30,000 bags for forest plants, taking 7 hours of work to complete the transplanting within 8 days. How many days are needed to fill 75,000 bags by employing 14 people working 8 hours daily?