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Times of A+B, B+C and C+A given: time for one or all

This type of question, asked 2 times: 29 Jan 2022 Tier II, 26 Oct 2023 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    40
    A and B can do a work in 262326\frac{2}{3} days. B and C together can complete the same work in 48 days, while A and C together can complete the same work in 30 days. How long (in days) will A alone take to complete 60% of the work?

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  2. Question 2

    26 Oct 2023 Tier II

    25
    A and B can complete a job together in 12.5 days; B and C can complete the same job together in 18.75 days, while C and A can complete the same job together in 15 days. In how many days will A, B and C together be able to complete the same job alongside D, who is only 40% as efficient as C?

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