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
Here's the solution to the problem: a) Determine the depth of the well. Step 1: Calculate the number of 10-foot segments dug. The LCA chairperson paid UGX 10,000 for every 10 feet dug, and the total payment was UGX 40,000. Number of 10-foot segments = Total paymentPayment per 10 feet = UGX 40,000UGX 10,000 = 4 Step 2: Calculate the total depth of the well. Since there are 4 segments, and each segment is 10 feet: Depth of well = 4 × 10 feet = 40 feet The depth of the well is 40 feet. b) Determine the height of the heap of soil from the well. Step 1: Use the given ratio to find the height of the heap. The problem states that for every 1 foot dug, the heap of soil raised was a length of 2 feet. Assuming "length" refers to the height of the heap. The depth of the well is 40 feet (from part a). Height of heap = Depth of well × 2 Height of heap = 40 feet × 2 = 80 feet The height of the heap of soil is 80 feet. c) Determine the overall cost of the well. Step 1: Calculate the cost for the builders. The community was informed that it would cost UGX 10,000 per day for 4 days to pay the builders. Cost for builders = UGX 10,000/day × 4 days = UGX 40