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(N+a) persons at h hours a day do part of the work, (N+b) persons finish the rest: find N

The same question, asked 2 times: 19 Jul 2023 S1*, 19 Jul 2023 S4. Every wording below, oldest first.

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  1. Question 1

    19 Jul 2023 S1

    52
    (N+18) persons, each working for 7.5 hours a day, can complete 48% of a work in 20 days. (N+12) persons can complete the remaining work in 30 days, if each of them works for 6.5 hours per day. Determine the value of N.

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  2. Question 2

    19 Jul 2023 S4

    61
    (N+15) persons, each working for 9 hours a day, can complete 36% of a work in 8 days. (N+9) persons can complete the remaining work in 20 days, if each of them works for 7 hours per day. Determine the value of N.

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