PYQ Vault

Two work on alternate days (or hours): time to finish

The same question, asked 7 times: 14 Jul 2023 S2*, 17 Jul 2023 S2*, 18 Jul 2023 S2*, 19 Jul 2023 S1*, 20 Jul 2023 S2*, 21 Jul 2023 S3*, 21 Jul 2023 S4. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S2

    57
    X and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work and they work alternately one at a time for one day each. The whole work will be complete in:

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  2. Question 2

    17 Jul 2023 S2

    63
    Ravi can do a piece of work in 40 days and Sudha can do the same piece of work in 60 days. If they work on alternative days starting with Sudha on the first day, then in how many days will the work be completed?

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  3. Question 3

    18 Jul 2023 S2

    63
    A and B alone can do a piece of work in 4 and 9 days, respectively. In how many days will the work be completed, if they both work on alternate days, starting with B?

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  4. Question 4

    18 Jul 2023 S2

    62
    Amar can complete a work in 15 days, and Prem, in 12 days. Starting with Amar, they work on alternate days. In how many days will the work be completed?

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  5. Question 5

    19 Jul 2023 S1

    62
    It takes A and B, 3 and 6 hours, respectively, to complete a certain work. If they work on the alternate hour. How long will it take them to accomplish the task?

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  6. Question 6

    20 Jul 2023 S2

    55
    A and B can complete a piece of work in 12 days and 18 days, respectively. If they work at it alternatively, A beginning, in how many days will the work be finished?

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  7. Question 7

    21 Jul 2023 S3

    56
    Rekha alone can complete a work in 16 days, and Bina alone can complete the same work in 12 days. Starting with Rekha , they work on alternate days. The total work will be completed in:

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  8. Question 8

    21 Jul 2023 S4

    56
    A can do a piece of work in 8 days, while B can do it in 18 days. In how many days will the work be completed if they both work on alternate days starting with B?

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