ESTION 5 It takes 7 gardeners 8 hours to plant 1680 seedlings on a plece of land. Calculate (in hours and minutes) how long it would take 12 gardeners to plant the same seedlings.

To solve this problem, we can use the concept of work and time. Let's denote: - \( W \) as the work done by one gardener in one hour. - \( T \) as the time taken by one gardener to plant the seedlings. Given: - 7 gardeners take 8 hours to plant 1680 seedlings. - We need to find how long it would take 12 gardeners to plant the same seedlings. First, we calculate the work done by one gardener in one hour: \[ W = \frac{1680 \text{ seedlings}}{7 \text{ gardeners} \times 8 \text{ hours}} \] Next, we calculate the time taken by one gardener to plant the seedlings: \[ T = \frac{1680 \text{ seedlings}}{7 \text{ gardeners} \times W} \] Finally, we calculate the time taken by 12 gardeners to plant the same seedlings: \[ \text{Time taken by 12 gardeners} = \frac{1680 \text{ seedlings}}{12 \text{ gardeners} \times W} \] Let's calculate the values step by step. Calculate the value by following steps: - step0: Calculate: \(\frac{1680}{\left(7\times 8\right)}\) - step1: Remove the parentheses: \(\frac{1680}{7\times 8}\) - step2: Multiply the numbers: \(\frac{1680}{56}\) - step3: Reduce the fraction: \(30\) Calculate or simplify the expression \( 30 \). Numbers by following steps: - step0: Solution: \(30\) Calculate or simplify the expression \( 1680/(12*30) \). Calculate the value by following steps: - step0: Calculate: \(\frac{1680}{\left(12\times 30\right)}\) - step1: Remove the parentheses: \(\frac{1680}{12\times 30}\) - step2: Multiply the numbers: \(\frac{1680}{360}\) - step3: Reduce the fraction: \(\frac{14}{3}\) The time taken by 12 gardeners to plant the same seedlings is \(4\frac{2}{3}\) hours or approximately 4.67 hours. Therefore, it would take 12 gardeners approximately 4 hours and 40 minutes to plant the same seedlings.