Mixed group of men and women time, and one group's single-worker time: the other's time

The same question, asked 2 times: 17 Jul 2023 S1*, 25 Jul 2023 S4. Every wording below, oldest first.

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Question 1
17 Jul 2023 S1
66 $15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work.$
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Question 2
25 Jul 2023 S4
72 $20 women and 15 men together can complete a work in 6 days. It takes 150 days for a single woman to complete the work. In how many days can a single man complete the work?$
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Question 1