12. It takes three men six hours to repair a road. How long would it have taken twig men? 13. Zakele needs to draw up a budget of his monthly expenses, He earns R6500 per month. His bills in one month are: Rent R1 650 , Electricity R 300 , Car payment R1 200, Insurance R750, Petrol R400, Account repayments 8500 and Grocerles R1 200. Glven his current expenses, how much money is available for saving? a) Calculate the simple interest on a R5 000 loan for 3 years at 8,5\% p,a, Interest. b) Calculate the compound interest earned on R15000 deposited inte a bank for 2 years@12\%

Sure, let's tackle each of your questions step by step. --- ### **12. Time Taken by Two Men to Repair the Road** **Given:** - 3 men take 6 hours to repair the road. **To Find:** - Time taken by 2 men to repair the same road. **Solution:** The total amount of work can be calculated in _man-hours_. \[ \text{Total Work} = \text{Number of Men} \times \text{Time} = 3 \times 6 = 18 \text{ man-hours} \] Now, to find out how long it would take 2 men to complete the same 18 man-hours of work: \[ \text{Time} = \frac{\text{Total Work}}{\text{Number of Men}} = \frac{18}{2} = 9 \text{ hours} \] **Answer:** It would take **9 hours** for two men to repair the road. --- ### **13. Zakele's Monthly Savings** **Given:** - **Income:** R6,500 per month - **Expenses:** - Rent: R1,650 - Electricity: R300 - Car Payment: R1,200 - Insurance: R750 - Petrol: R400 - Account Repayments: R850 *(Assuming it's R850 instead of R8,500 for feasibility)* - Groceries: R1,200 **To Find:** - Amount available for saving. **Solution:** First, calculate the total expenses: \[ \begin{align*} \text{Total Expenses} &= \text{Rent} + \text{Electricity} + \text{Car Payment} + \text{Insurance} + \text{Petrol} + \text{Account Repayments} + \text{Groceries} \\ &= 1,650 + 300 + 1,200 + 750 + 400 + 850 + 1,200 \\ &= R6,350 \end{align*} \] Next, subtract the total expenses from the income to find the savings: \[ \text{Savings} = \text{Income} - \text{Total Expenses} = 6,500 - 6,350 = R150 \] **Answer:** Zakele has **R150** available for saving each month. --- ### **14. Interest Calculations** #### **a) Simple Interest** **Given:** - **Principal (P):** R5,000 - **Rate (r):** 8.5% per annum - **Time (t):** 3 years **To Find:** - Simple Interest (SI) **Formula:** \[ \text{SI} = P \times r \times t \] **Calculation:** \[ \begin{align*} \text{SI} &= 5,000 \times 0.085 \times 3 \\ &= 5,000 \times 0.255 \\ &= R1,275 \end{align*} \] **Answer:** The simple interest earned is **R1,275**. #### **b) Compound Interest** **Given:** - **Principal (P):** R15,000 - **Rate (r):** 12% per annum - **Time (t):** 2 years **To Find:** - Compound Interest (CI) **Formula:** \[ \text{A} = P \times (1 + r)^t \\ \text{CI} = \text{A} - P \] **Calculation:** \[ \begin{align*} \text{A} &= 15,000 \times (1 + 0.12)^2 \\ &= 15,000 \times (1.2544) \\ &= R18,816 \\ \text{CI} &= 18,816 - 15,000 \\ &= R3,816 \end{align*} \] **Answer:** The compound interest earned is **R3,816**. --- If you have any further questions or need more clarification on any of these problems, feel free to ask!