Final answer:
To find the time to plant and harvest 300 crops with each taking 3 hours and having 42 fields, we divide 300 by 42, resulting in over 7 cycles. Multiplying 8 cycles (rounded up from 7.14) by 3 hours each, we get 24 hours, plus an additional hour for game closure, which totals to 25 hours.
Step-by-step explanation:
The question asks us to calculate the time needed to plant and harvest 300 crops, with each crop taking 3 hours to grow and a total of 42 fields available. This is essentially a rate problem where we determine the total number of cycles needed to grow 300 crops. One cycle is completed when all 42 fields are used once.
To start, we must determine how many full cycles of planting and harvesting can be done in the fields, and then calculate any partial cycle if necessary. Since there are 42 fields and each field takes 3 hours to grow one crop, in one cycle, we can grow 42 crops in 3 hours.
Now, to find out how many cycles we need to grow 300 crops, we divide 300 by 42. This is 300 / 42 ≈ 7.14, which means we need a little over 7 cycles to grow 300 crops. Since we cannot have a fraction of a cycle in practical terms, we will need 8 full cycles to grow all the crops.
Each cycle takes 3 hours, so 8 cycles will take 8 * 3 hours = 24 hours. However, we must exclude one hour for game closure, so the total time taken is 24 + 1 = 25 hours. Thus, none of the provided options (a, b, c, d) are correct.