This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the total area of the field. Initially, there are 6 tractors, and each ploughs 120 hectares a day. They complete the field in 4 days. Total hectares ploughed per day by 6 tractors: 6 tractors × 120 hectarestractor · day = 720 hectaresday Total area of the field: 720 hectaresday × 4 days = 2880 hectares Step 2: Determine the number of remaining tractors. Two tractors were moved, so the remaining tractors are: 6 - 2 = 4 tractors Step 3: Calculate the total hectares ploughed per day by the remaining tractors. The remaining 4 tractors plough the same 2880-hectare field in 5 days. Total hectares ploughed per day by 4 tractors: 2880 hectares5 days = 576 hectaresday Step 4: Calculate how many hectares one tractor would plough a day. Divide the total hectares ploughed per day by the number of remaining tractors: 576 hectaresday4 tractors = 144 hectarestractor · day One tractor would plough 144 hectares a day. The final answer is 144 HECTARES.