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Assuming the tractors are working together, they all work at the same rate and do not get in each others way, 4 days.

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It takes 10 days to plow the area → each day 1/10 the area is done

There are 6 tractors → each day each tractor plows 1/6 x 1/10 = 1/60 the area

With 15 tractors → each day they plow 15 x 1/60 the area = 1/4 the area

→ to plow the whole area takes 1/(1/4) = 4 days.

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