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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.

Ask by Mathis Blake. in South Africa
Mar 11,2025

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

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To find out how long it takes for 12 gardeners to plant the same 1680 seedlings, we can first calculate the total work done in gardener-hours. With 7 gardeners working for 8 hours, they complete 7 × 8 = 56 gardener-hours. Since they plant 1680 seedlings in that time, the rate of planting is 1680 seedlings/56 gardener-hours = 30 seedlings per gardener-hour. Now, if we have 12 gardeners, we will need to find out how many gardener-hours are required to plant 1680 seedlings: 1680 seedlings / 30 seedlings per gardener-hour = 56 gardener-hours. Finally, we divide the total gardener-hours by the number of gardeners: 56 gardener-hours / 12 gardeners = 4.67 hours, which is 4 hours and 40 minutes. So, it would take 12 gardeners about 4 hours and 40 minutes to plant all the seedlings.

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