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A particular work can be completed by $$6$$ men and $$6$$ women in $$24$$ days; whereas the same work can be completed by $$8$$ men and $$12$$ women in $$15$$ days. Find:
$$(i)$$ According to the amount of work done, one man is equivalent to how many women.
$$(ii)$$ The time taken by $$4$$ men and $$6$$ women to complete the same work.

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