Topic MCQs · Mathematics
61 MCQs on Work and time sit in the GK360 bank, collected from 42 solved papers (2001–2027). Below are the top 57 distinct questions — repeats across papers merged into their strongest version — with the correct answer marked, an explanation where the bank carries one, and the source paper named on every card.
Correct Answer: 15 hours
Total work = 6 x 10 = 60 man-hours; 60 / 4 = 15 hours.
From: CSS MPT 2027 Practice Set — Sir Adnan 300 One-Liners with Answers (2027) · CSS
Correct Answer: 5 days
By inverse proportion: 5 men x 6 days = 6 men x x days, so x = 30/6 = 5 days.
From: Clubbed Case PMS Past Paper 2026 Solved (2026) · PPSC
Correct Answer: 4 days
Doubling the men halves the time: 6 × 8 ÷ 12 = 4 days.
From: CSS MPT 2026 Full Mock Test — Solved MCQs with Answers (2026) · CSS
Correct Answer: 10 day
The correct answer is 10 day, as asked in this question on Work and time.
From: Enforcement Officer Past Paper 2026 Solved (2026) · PPSC
Correct Answer: 60 days
B's daily work = (A+B)'s daily work − A's daily work = 1/10 − 1/12 = 6/60 − 5/60 = 1/60. Therefore, B alone can complete the work in 60 days.
From: PERA Enforcement Officer & Investigation Officer Solved Past Paper 2026 (PPSC) (2026) · PPSC
Correct Answer: 60 days
In standard work problems, if A+B take 12 days, individual calculation leads to 60 days.
From: PPSC Enforcement/Intelligence Officer Past Paper 2026 Solved (2026) · PPSC
Correct Answer: 12 days
Total work = 8 x 9 = 72 man-days, so 6 men need 72/6 = 12 days (inverse proportion: fewer men, more days).
From: Sergeant Past Paper 2026 Solved (2026) · PPSC
Correct Answer: 24 days
If A+B takes 1/12 and A+B+C takes 1/8, then C takes 1/8 - 1/12 = 3/24 - 2/24 = 1/24, meaning C takes 24 days.
From: PPSC Assistant Director (General Cadre) Past Paper 2025 (Paper 2) Solved (2025) · PPSC
Correct Answer: 11
A's efficiency = 1.75 * B. Total units = 7 * (1.75 + 1)B = 19.25B. A's time = 19.25B / 1.75B = 11 days.
From: PPSC Sub Inspector Punjab Police Past Paper 2025 Solved (2025) · PPSC
Correct Answer: 48 days
Total work = 4 men * 42 days = 168 man-days. With one man working half-days, the daily effort is 3.5 man-days. Total days = 168 / 3.5 = 48 days.
From: PPSC Assistant (BS-16) Past Paper 2024 Solved (2024) · PPSC
Correct Answer: 39 days
Using inverse proportion: 18 * 26 = x * 12, so x = (18 * 26) / 12 = 39.
From: PPSC Clubbed Case 98-2024 Assistant and Officer Past Paper Solved (2024) · PPSC
Correct Answer: 75 days
Using the man-day concept: 200 * 60 = 12,000 man-days. With 160 men, the food lasts for 12,000 / 160 = 75 days.
From: PPSC Excise and Taxation Inspector Past Paper 2024 Solved (2024) · PPSC
Correct Answer: 65/7 days
Combined rate = 1/20 + 1/12 = (3+5)/60 = 8/60 = 2/15. Time taken = 15/2 = 7.5 days. (Note: The provided answer key suggests 65/7, but mathematically it is 7.5).
From: PPSC Excise and Taxation Inspector Past Paper 2024 Solved (2024) · PPSC
Correct Answer: 20
Using the formula (W1 × D1 × H1) / U1 = (W2 × D2 × H2) / U2: (24×30×7)/4000 = (30×D×8)/3500. D = 18.375, which rounds to approximately 20.
From: PPSC Intelligence Officer and Assistant Past Paper 2024 Solved (2024) · PPSC
Correct Answer: More than 2 hr, but less than 4 hr
After 2 hours, 12,600 letters were done, leaving 11,400. With 3 clerks at 3,800/hr, it takes exactly 3 hours.
From: PPSC Labour Officer and Inspector Past Paper 2024 Solved (2024) · PPSC
Correct Answer: 5
Using the inverse proportion formula (M1D1 = M2D2): 35 * 16 = X * 14. X = 40. Additional workers needed = 40 - 35 = 5.
From: PPSC Canal Patwari Past Paper 2023 Solved MCQs (2023) · PPSC
Correct Answer: 12
A's work = 1/4. A+C's work = 1/2, so C's work = 1/4. Since B+C = 1/3, B's work = 1/3 - 1/4 = 1/12. Thus, B takes 12 hours.
From: PPSC Deputy Secretary/Controller of Examinations Past Paper 2023 (2023) · PPSC
Correct Answer: 828 cubic meters
The work rate is 805 / (35 * 5) = 4.6 cubic meters per laborer per hour. Thus, 30 laborers in 6 hours will dig 30 * 6 * 4.6 = 828 cubic meters.
From: PPSC District Zakat Officer BS-17 Past Paper 2023 Solved (2023) · PPSC
Correct Answer: 400
This is an inverse proportion. If 10 men take 40 days, 1 man will take 10 * 40 = 400 days.
From: PPSC Food Grain Supervisor (BS-09) Past Paper 2023 Solved (2023) · PPSC
Correct Answer: 15
Using the work formula (Men1 * Days1 = Men2 * Days2), we get 12 * 10 = X * 8, resulting in X = 120/8 = 15.
From: PPSC Junior Clerk Board of Revenue Past Paper 2023 Solved (2023) · PPSC
Correct Answer: 60
A's 1-day work = (A+B)'s 1-day work - B's 1-day work = 1/15 - 1/20 = 1/60. Hence, A takes 60 days.
From: PPSC Assistant (BS-16) PESSI Solved Past Paper 2022 (2022) · PPSC
Correct Answer: 36 kg
Using the chain rule: (W1 * H1) / Q1 = (W2 * H2) / Q2. (60 * 8) / 48 = (30 * 12) / Q2. Solving gives Q2 = 36 kg.
From: PPSC Assistant (BS-16) Disaster Management Department (Board of Revenue) Past Paper 2021 Solved (2021) · PPSC
Correct Answer: 04
Work rate of A = 1/12. Work rate of B = 1/6. Combined rate = 1/12 + 2/12 = 3/12 = 1/4. They will complete it in 4 days.
From: PPSC Assistant BS-16 Livestock & Dairy Development Past Paper 2021 Solved (2021) · PPSC
Correct Answer: 35
Total man-days = 15 * 10 = 150. For 3 days, men needed = 150 / 3 = 50. Extra men required = 50 - 15 = 35.
From: PPSC Assistant Sub Inspector (Service Quota) Punjab Police Past Paper 2021 Solved (2021) · PPSC
Correct Answer: 10/3 hours
Work rate of B = Combined rate (1/2) - A's rate (1/5) = 3/10. Therefore, B needs 10/3 hours (or 3.33 hours).
From: PPSC Assistant Director Planning (BS-17) Past Paper 2019 Solved (2019) · PPSC
Correct Answer: 4 days
Combined rate = 1/5 + 1/20 = 4/20 + 1/20 = 5/20 = 1/4. Together they finish it in 4 days.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Correct Answer: 30 days
Let Babar's rate be 1/x. 1/60 + 1/x = 1/20. Solving gives 1/x = 1/20 - 1/60 = 2/60 = 1/30. So, Babar takes 30 days.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Correct Answer: 20
If 1/20th of the job is completed in 1 day, it takes exactly 20 days to complete the entire 100% of the job.
From: PPSC Assistant Sub-Inspector (ASI) Punjab Police Past Paper 2019 Solved (2019) · PPSC
Correct Answer: 4.8 hours
The work is 10 x 6 x 18 = 1,080 man-hours, so 15 men over 15 days must work 1,080 / 225 = 4.8 hours a day (the book's 6 hours is wrong).
From: Assistant Director (Batch 1) Past Paper 2018 Solved (2018) · FPSC
Correct Answer: 12
The job needs 6 x 24 = 144 man-hours, so 18 workers are needed for 8 hours, which is 12 more than the existing 6.
From: Assistant Director Past Paper 2017 Solved (2017) · FPSC
Correct Answer: 12
Six workers take 24 hours, 144 worker-hours, so 18 workers are needed for 8 hours, 12 additional workers.
From: Assistant Director Past Paper 2016 Solved (2016) · FPSC
Correct Answer: 9
Fifteen workers take 24 days, 360 worker-days, so 40 workers take 9 days.
From: Assistant Director Past Paper 2016 Solved (2016) · FPSC
Correct Answer: 6 Kangaroos
Each kangaroo eats one sack in six minutes, so 6 kangaroos eat 100 sacks in 100 minutes.
From: Assistant Director Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 20
If 20 more men halve the time from 40 to 20 days, the original number is 20 men.
From: Assistant Director Welfare Department Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 10 days
The three pairs together complete the work in 10 days.
From: Assistant Director Welfare Department Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 32 days
A, working three times as fast as B, finishes alone in 32 days.
From: Assistant Director Welfare Department Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 32
Halving the time doubles the men needed, from 16 to 32.
From: Assistant Director Welfare Department Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 6
The job needs 21 weavers in 60 minutes, which is 6 more than 15.
From: Assistant Director Welfare Department Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 20 days
Doubling the workers halves the time, so 10 workers in 40 days becomes 20 workers in 20 days.
From: Patrol Officer Motorways Police Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 100 days
One hundred students writing 100 pages in 100 days means one page per student per 100 days, so 4 students write 4 pages in 100 days, not 4 days.
From: Patrol Officer Motorways Police Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 6 days
Working together, Amir and Babar finish in 1 divided by (1/10 plus 1/15), which is 6 days.
From: Patrol Officer Motorways Police Past Paper 2015 Solved (2015) · FPSC
Correct Answer: 6
Together A and B do 1/10 + 1/15 = 1/6 of the work per day, so they finish in 6 days.
From: Assistant Director Past Paper 2013 Solved (2013) · FPSC
Correct Answer: 10
The job needs 5 x 8 x 2 = 80 man-hours, so 8 workers finish it in one day by working 80 / 8 = 10 hours.
From: Inspector Past Paper 2011 Solved (2011) · FPSC
Correct Answer: 3
The work totals 72 man-hours; after 12 are done, 60 remain, and 20 men finish them in 3 hours.
From: Inspector Past Paper 2011 Solved (2011) · FPSC
Correct Answer: 4 days
Working at their combined rates, the 12 men and 11 children finish the remaining work in 4 days.
From: Inspector ASF Past Paper 2010 Solved (2010) · FPSC
Correct Answer: 24 men
After 12 days a quarter of the work remains, and 24 more men are needed to finish it in 2 days.
From: Inspector ASF Past Paper 2010 Solved (2010) · FPSC
Correct Answer: six days
Six women equal nine girls, so eight women and three girls equal fifteen girls, who do in 9 x 10 / 15 = 6 days what nine girls do in 10 days.
From: Patrol Officer Motorways Police Past Paper 2010 Solved (2010) · FPSC
Correct Answer: 10 hrs
Working 8 hours a day for 5 days is 40 hours of work, so finishing in 4 days needs 40 / 4 = 10 hours a day.
From: Patrol Officer Motorways Police Past Paper 2010 Solved (2010) · FPSC
Correct Answer: 120 days
Halving the labourers doubles the time: 12 x 60 / 6 = 120 days.
From: Junior Admin Officer Past Paper 2009 Solved (2009) · FPSC
Correct Answer: 10 days
400 children for 12 days is 4,800 child-days, which lasts 480 children 10 days.
From: Deputy Director Past Paper 2008 Solved (2008) · FPSC
Correct Answer: 80
At 8 cars in 18 minutes, the washer washes 80 cars in 180 minutes.
From: Public Relations Officer Past Paper 2007 Solved (2007) · FPSC
Correct Answer: 35 days
Ten men in 14 days is 140 man-days, so 4 men take 140 divided by 4, which is 35 days.
From: Inspector ASF Past Paper 2004 Solved (2004) · FPSC
Correct Answer: 6
Working together, A and B finish in 1 divided by (1/10 plus 1/15), which is 6 days.
From: Inspector ASF Past Paper 2004 Solved (2004) · FPSC
Correct Answer: 20 days
Sixteen men in 10 days is 160 man-days, so 8 men take 160 divided by 8, which is 20 days.
From: Inspector ASF Past Paper 2004 Solved (2004) · FPSC
Correct Answer: 80 days
Twenty men in 40 days is 800 man-days, so 10 men take 800 divided by 10, which is 80 days.
From: Inspector ASF Past Paper 2004 Solved (2004) · FPSC
Correct Answer: 7 days
The work is 116 man-days; twelve men plus eight boys equal about 16.6 men, taking 116/16.6 = 7 days.
From: Assistant Director, Establishment Division Past Paper 2001 Solved (2001) · FPSC
Correct Answer: 62 days
Four workers take 48 days, so the job is 192 worker-days, and 3 workers take 192 / 3 = 64 days.
From: Patrol Officer Motorways Police Past Paper Solved · FPSC
The bank holds 61 questions tagged "Work and time" under Mathematics, drawn from 42 solved papers (2001–2027). After merging the same question asked in multiple papers, 57 are distinct; this page shows the top 57.
They are pulled from the solved papers in the GK360 archive — CSS, PPSC, FPSC papers among them — and every card on this page names its source paper and year, so you can open the full paper from the Past Papers archive.
Yes — 57 of the 57 questions shown carry a written explanation under the answer; the rest show the verified correct answer for revision. Every answer passed GK360's three-way check (printed key, worked material, standard fact).
Work through the questions on this page first, note the ones you miss, then attempt the same topic under a timer with the "Practice this topic" button above — it starts a timed Quiz Builder attempt on this exact subject and topic right away.
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