PYQ Vault

Work together for a fixed time: fraction of work done or left

This type of question, asked 9 times: 14 Jul 2023 S4, 17 Jul 2023 S4, 19 Jul 2023 S2, 24 Jul 2023 S3, 27 Jul 2023 S2, 18 Sep 2024 S1, 19 Sep 2024 S2, 12 Sep 2025 S1, 14 Sep 2025 S1. All 9 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S4

    68
    A, B and C can separately complete a work in 12, 15 and 20 days, respectively. They worked together 4 days. What will be the remaining work?

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  2. Question 2

    17 Jul 2023 S4

    57
    A can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together?

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  3. Question 3

    19 Jul 2023 S2

    66
    A can do a work in 4 days and B in 12 days. If they work on it together for 2 days, then the fraction of the work that will be left is:

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  4. Question 4

    24 Jul 2023 S3

    63
    A can complete a work in 9 days and B in 12 days. If they work together on it for 5 days, then the fraction of the work left is:

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  5. Question 5

    27 Jul 2023 S2

    54
    P, Q and R can complete a piece of work in 9, 12 and 18 days, respectively. Working together, how much work can they complete in one day?

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  6. Question 6

    18 Sep 2024 S1

    70
    Pipe X can fill a tank in 60 hours while pipe Y can fill the tank in 72 hours. Both pipes are opened together for 20 hours. How much of the tank is left empty ?

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  7. Question 7

    19 Sep 2024 S2

    64
    A and B can do a work in 12 days and 16 days, respectively. If they work together for 6 days, then the fraction of the work left is _________.

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  8. Question 8

    12 Sep 2025 S1

    66
    A is able to complete a task in 15 days, while B takes 20 days to finish the same task. If they collaborate and work together for 4 days, what fraction of the work will still remain?

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  9. Question 9

    14 Sep 2025 S1

    65
    A can do a work in 8 days and B in 12 days. They work together for 3 days. What part of the work is left?

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