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

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1. Compute the total number of gardener-hours required for the work. Since 7 gardeners take 8 hours,
   $$
   \text{Total gardener-hours} = 7 \times 8 = 56.
   $$

2. Calculate the number of seedlings planted per gardener-hour. Given that 1680 seedlings are planted in 56 gardener-hours,
   $$
   \text{Seedlings per gardener-hour} = \frac{1680}{56} = 30.
   $$

3. Determine the time required for 12 gardeners to plant 1680 seedlings. Since the planting rate per gardener is 30 seedlings per hour, 12 gardeners plant
   $$
   12 \times 30 = 360 \text{ seedlings per hour}.
   $$
   To plant 1680 seedlings, the required time $$ t $$ (in hours) is found by
   $$
   360t = 1680 \quad \Rightarrow \quad t = \frac{1680}{360} = 4.\overline{6} \text{ hours}.
   $$

4. Convert the time from hours to hours and minutes. The fractional part $$ 0.\overline{6} $$ hours is equivalent to
   $$
   0.\overline{6} \times 60 \approx 40 \text{ minutes}.
   $$

Thus, it would take $$ 4 $$ hours and $$ 40 $$ minutes for 12 gardeners to plant 1680 seedlings.
It would take 4 hours and 40 minutes for 12 gardeners to plant 1680 seedlings.

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

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