In a factory, a group of 24 workers working 7 hours a day can produce 4000 units in 30 days. In how many days 30 workers will produce 3500 units by working 8 hours a day?

In a factory, a group of 24 workers working 7 hours a day can produce 4000 units in 30 days. In how many days 30 workers will produce 3500 units by working 8 hours a day?
Answer: 20

Work rate = (4000 \div (24 \cdot 7 \cdot 30) = 0.7937) units/worker-hour. For 30 workers, 8 hours/day, producing 3500 units: (3500 \div (30 \cdot 8 \cdot 0.7937) \approx 20) days. Studying this highlights rate calculations, providing lessons on productivity analysis in industrial settings.