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Time and Work

CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 9 times: CDS 1 2017, CDS 2 2017, CDS 1 2018, CDS 2 2019, CDS 1 2020, CDS 1 2022, CDS 2 2022, CDS 1 2023, CDS 1 2026. This one: CDS 1 2026 See all 9 of this type

    9
    Eight men and 24 women can finish a piece of work in one day while 12 men and 18 women can also finish it in one day. What is the time taken by 24 men and 72 women to finish the work ?

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  2. Question 2

    This type asked 6 times: CDS 1 2017, CDS 1 2018, CDS 2 2018, CDS 2 2020, CDS 1 2021, CDS 1 2026. This one: CDS 1 2026 See all 6 of this type

    15
    12 men working 8 hours a day can completely build a wall of length 100 m, breadth 20 cm and height 5 m in 10 days. How many days will 16 men working 10 hours a day require to build a wall of length 200 m, breadth 60 cm and height 5 m ?

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  3. Question 3

    This type asked 5 times: CDS 1 2017, CDS 2 2018, CDS 1 2019, CDS 2 2019, CDS 1 2020. This one: CDS 1 2020 See all 5 of this type

    48
    In a water tank there are two outlets. It takes 20 minutes to empty the tank if both the outlets are opened. If the first outlet is opened, the tank is emptied in 30 minutes. What is the time taken to empty the tank by second outlet?

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  4. Question 4

    Asked 4 times: CDS 1 2019*, CDS 1 2021*, CDS 2 2021*, CDS 1 2024 (* = numbers or wording changed that year) See all 4 times it was asked

    45
    If the work done by x men in (x+1)(x + 1) days is equal to the work done by (x+5)(x + 5) men in (x−2)(x - 2) days, then what is the value of x ?

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  5. Question 5

    Asked 3 times: CDS 1 2018*, CDS 2 2021*, CDS 2 2022 (* = numbers or wording changed that year) See all 3 times it was asked

    14
    480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day ?

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  6. Question 6

    Asked 3 times: CDS 2 2017*, CDS 2 2019*, CDS 1 2022 (* = numbers or wording changed that year) See all 3 times it was asked

    27
    8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

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  7. Question 7

    This type asked 3 times: CDS 2 2016, CDS 2 2022, CDS 1 2023. This one: CDS 1 2023 See all 3 of this type

    35
    Three taps A, B and C together can fill a tank in 6 hours. Tap C alone can fill the tank in 12 hours. To fill the tank, when it is empty, all the three taps are started together. After working t hours, tap C is closed and the tank is filled in 8 more hours. What is t equal to ?

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  8. Question 8

    Asked 2 times: CDS 1 2020*, CDS 1 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    34
    If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct ?

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  9. Question 9

    Asked 2 times: CDS 2 2018*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    39
    If 20 persons can clean 20 floors in 20 days, then in how many days can 16 persons clean 16 floors?

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  10. Question 10

    Asked 2 times: CDS 1 2017*, CDS 2 2018 (* = numbers or wording changed that year) See all 2 times it was asked

    44
    X and Y together can finish a job in 6 days. X can alone do the same job in 12 days. How long will Y alone take to do the same job ?

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