Final answer:
If one farmer can finish plowing the field in 6 days, then it would take 3 farmers working together at the same rate 2 days to finish plowing the same field.
Step-by-step explanation:
If a farmer can finish plowing the field in 6 days, we assume the farmer works at a consistent rate. When three farmers work together on the same field, we can assume for the sake of this exercise that each farmer contributes equally and that there are no diminishing returns on their combined effort.
To find out how long it will take for 3 farmers to finish plowing the same field, we need to divide the total work done by the number of workers. If one farmer finishes the field in 6 days, it's like saying the field work constitutes 6 'farmer-days' of work (1 farmer × 6 days = 6 farmer-days of work).
Now, if 3 farmers work together, the 6 farmer-days of work would be divided by 3 farmers, which means:
6 farmer-days ÷ 3 farmers = 2 days.
Thus, it would take 3 farmers 2 days to finish plowing the field if they all work at the same rate as the single farmer. This calculation is based on the assumption of linear scaling of labor, which is a simplification of more complex real-world scenarios.