24 men take 18 days to build a bridge. How many days will 6 men take to build the same bridge if all men work at the same rate. R5 000 is invested in a bank that offers simple interest per annum and accumulates to R11 750 in 9 years. Calculate the rate of interest.

To solve this problem, we need to follow these steps: 1. Calculate the rate of interest using the formula for simple interest: \[ \text{Rate of Interest} = \frac{\text{Accumulated Amount} - \text{Principal Amount}}{\text{Principal Amount} \times \text{Time in Years}} \] 2. Substitute the given values into the formula to find the rate of interest. Let's calculate the rate of interest using the given values. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(11750-5000\right)}{\left(5000\times 9\right)}\) - step1: Remove the parentheses: \(\frac{11750-5000}{5000\times 9}\) - step2: Multiply the numbers: \(\frac{11750-5000}{45000}\) - step3: Subtract the numbers: \(\frac{6750}{45000}\) - step4: Reduce the fraction: \(\frac{3}{20}\) The rate of interest is 0.15 or 15% per annum. Now, let's calculate how many days 6 men will take to build the same bridge if all men work at the same rate. Calculate the value by following steps: - step0: Calculate: \(\frac{24\times 18}{6}\) - step1: Multiply the numbers: \(\frac{432}{6}\) - step2: Reduce the fraction: \(72\) Therefore, 6 men will take 72 days to build the same bridge if all men work at the same rate.