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Two mixed groups with their times: days for a third combination

The same question, asked 2 times: 17 Jul 2023 S3*, 17 Jul 2023 S4. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S3

    62
    12 men and 16 boys can do a piece of work in 5 days, while 13 men and 24 boys can do it in 4 days. In how many days can 29 men and 22 boys complete the work?

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  2. Question 2

    17 Jul 2023 S4

    53
    15 men and 21 women, working together, can do a job in 56 days, while 12 men and 24 women, working together, can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women, working together?

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