PYQ Vault

Workers or pipes working on alternate days or hours: time to finish

This type of question, asked 11 times: 14 Jul 2023 S1, 14 Jul 2023 S2, 17 Jul 2023 S2, 18 Jul 2023 S2, 19 Jul 2023 S1, 20 Jul 2023 S2, 20 Jul 2023 S3, 21 Jul 2023 S2, 21 Jul 2023 S3, 21 Jul 2023 S4, 19 Sep 2024 S1. All 13 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S1

    53
    A can complete a piece of work in 25 days while B can complete the same work in 30 days. They work on alternate basis, starting with A. Both A and B follow this pattern for 5 days and then A leaves the work. In how many days will B finish the remaining work?

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  2. Question 2

    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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  3. Question 3

    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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  4. Question 4

    17 Jul 2023 S2

    60
    A,B and C can do a piece of work in 30 days, 40 days and 50 days, respectively. Beginning with A, if A, B and C do the work alternatively then in how many days will the work be finished?

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  5. Question 5

    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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  6. Question 6

    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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  7. Question 7

    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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  8. Question 8

    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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  9. Question 9

    20 Jul 2023 S3

    53
    Supraja and Kausalya can complete a work in 30 days and 20 days, respectively. If Supraja starts the work and they work on alternate days, in how many days will 75% of the work be completed?

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  10. Question 10

    21 Jul 2023 S2

    58
    An inlet pipe can fill an empty tank in 4124\frac{1}{2} hours while an outlet pipe drains a completely filled tank in 7157\frac{1}{5} hours. The tank is initially empty, and the two pipes are alternately opened for an hour each, till the tank is completely filled, starting with the inlet pipe. In how many hours will the tank be completely filled?

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  11. Question 11

    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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  12. Question 12

    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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  13. Question 13

    19 Sep 2024 S1

    75
    Pipe X can fill a tank in 9 hours and Pipe Y can fill it in 21 hours. If they are opened on alternate hours and Pipe X is opened first, in how many hours shall the tank be full?

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