Time & Work MCQs with Answers – Solved from Past Papers
62 solved Time & Work MCQs collected from real PPSC, FPSC, SPSC, KPPSC, BPSC & NTS past papers (2011–2026). Tap an option to attempt — see correct answer instantly. Download the full PDF for offline revision.
If5 men complete the work 6 days, then in how many days 6 men can complete the same work?
Show solution
Man-days = 5×6 = 30. With 6 men: 30÷6 = 5 days.
40 men complete one-third of a work in 40 days. How many more men should be employed to finish the rest of the work in 50 more days?
Show solution
1/3 work in 40×40=1600 mandays → full=4800. Remaining 2/3=3200 mandays in 50 days needs 64 men. Additional = 64-40 = 24.
AandB finish a job in 12 days. While A, B, and C together can finish it in 8 days. How many days will it take for C alone to finish the job?
Show solution
1/C = 1/8 – 1/12 = 3/24 – 2/24 = 1/24. So C alone = 24 days.
Four men working together can dig a ditch in 42 days. They begin, but one man works only half-days. How long will it take to complete the job?
Show solution
Effective workers = 3.5 (one at half rate). Time = 42×4 ÷ 3.5 = 48 days.
|facertain job can be finished by 18 workers in 26 days. How many workers are needed to finish job in 12 days?
Show solution
Workers needed = 18×26 ÷ 12 = 39.
Acandoa piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?
Show solution
Together = 4×12 ÷ (4+12) = 48÷16 = 3 days.
If 8menor 12 women can do a piece of work in 25 days, in how many days can the same work be done by 6 men and 11 women?
Show solution
8M=12W ⇒ 1M=1.5W. So 6M+11W = 9W+11W = 20W. 12W take 25 days → 20W take 12×25/20 = 15 days.
If 10mencan construct a building in 40 days. How long will it take 1 man to do this work?
Show solution
Mandays = 10×40 = 400. So 1 man takes 400 days.
Acando work in 6 days and B can do the same work in 12 days. How long will it take if A and B work together?
Show solution
Together = 6×12 ÷ (6+12) = 72÷18 = 4 days.
If6men take 9 days to complete a work, how many men can complete the work in 3 days?
Show solution
Mandays = 6×9 = 54. In 3 days: 54÷3 = 18 men.
If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?
Show solution
1 worker makes 1 table in 10 days. So 5 workers make 5 tables in 10 days.
6 persons complete a work in 16 days, 8 persons will complete the job in how many days?
Show solution
Mandays = 6×16 = 96. With 8: 96÷8 = 12 days.
\fAand B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
Show solution
1/A = 1/15 – 1/20 = 4/60 – 3/60 = 1/60. So A alone = 60 days.
Aworker did work 1 week and 3 days for Rs. 750. In one month how much he got money?
Show solution
Per day wage = 750÷10 = 75. In 30 days = 75×30 = 2250 Rs.
Ali earns Rs 7500 in 2 weeks what will he earn in 2 days if he works 6 days a week?
Show solution
Per day = 7500÷12 = 625. In 2 days = 1250 Rs.
Ais 4times as fast as B and therefore is able to finish the work in 45 days less than B. A and B, can complete the work in how many days?
Show solution
Let B=x, A=x/4. x – x/4 = 45 → 3x/4=45 → x=60, A=15. Together = 60×15 ÷ 75 = 12 days.
AandB together can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in?
Show solution
In 2 days together, 2/3 work done. Remaining 1/3 done by B alone in 2 days → B = 6 days.
A project of construction of a building can be completed by 150 workers in 40 days. But project manager brought 30 more workers after 16 days. In how many days will the remaining work be finished?
Show solution
Total = 150×40 = 6000 mandays. After 16 days, 2400 done, 3600 left. With 180 workers: 3600÷180 = 20 days.
lf 10 persons can do a work in 20 days than 20 persons with twice efficiency can do the same work in?
Show solution
10 persons × 20 days = 200 mandays. 20 persons with 2× efficiency = 40 equivalent → 200÷40 = 5 days.
AandBcan doa piece of work in 12 days B and Cin 15 days A and Cin 20 days than the number of days taken by A Band C together to finish the work are?
Show solution
1/(A+B)+1/(B+C)+1/(A+C) = 1/12+1/15+1/20 = 12/60 = 1/5. So 2(rate_total)=1/5 → all together = 10 days.
Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in?
Show solution
A=8×5=40 hrs, B=10×6=60 hrs. Combined rate = 1/40+1/60 = 1/24. Total = 24 hrs ÷ 8 hrs/day = 3 days.
60 men can doa work in 40 days. How long will it take 40 men to complete the same work?
Show solution
Mandays = 60×40 = 2400. With 40 men: 2400÷40 = 60 days.
42 women can do a piece a work in 18 days. How many women be required to PREPARATION WI do the same piece of work in 21 days?
Show solution
Women needed = 42×18 ÷ 21 = 36.
Xand Y can doa piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Show solution
X alone 4 days = 4/20 = 1/5 done. Left = 4/5. Together rate = 1/20+1/12 = 2/15. Time for rest = 6 days. Total = 4+6 = 10 days.
Ais twice as good as B as a workman. A takes 30 days less than B. How many days does both complete the work?
Show solution
Let B=x, A=x/2. x – x/2 = 30 → x=60, A=30. Together = 60×30 ÷ 90 = 20 days.
36men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Show solution
Days = 36×18 ÷ 27 = 24.
If 10mencan doa piece of work in 12 days, the time taken by 12 men to do the same piece of work will be?
Show solution
Days = 10×12 ÷ 12 = 10.
Ais twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work?
Show solution
A's rate = 2× B's. Combined 3r = 1/18 → r = 1/54. So B alone = 54 days.
If 1 day work = 1/20 then time required to finish the job (in days)?
Show solution
If 1 day = 1/20 of work, then full work = 20 days.
AandB together can complete a piece of work in 4 days. If A alone can PREPARATION WI1 complete the same work in 12 days, in how many days can B alone complete that work?
Show solution
1/B = 1/4 – 1/12 = 3/12 – 1/12 = 2/12 = 1/6. So B = 6 days.
56 men can do apiece of work in 24 days. In how many days can 42 men complete the same piece of work?
Show solution
Days = 56×24 ÷ 42 = 32.
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Show solution
Pump-hours = 3×8×2 = 48. For 4 pumps × 1 day: 48 ÷ 4 = 12 hours/day.
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Show solution
Total work = 39×12×5 = 2340 person-hours. With 30 persons × 6 hrs/day: 2340 ÷ 180 = 13 days.
71.A man anda boy received Rs. 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the daily wages of the boy?
Show solution
Man's rate = 3× boy's. Per day = 800÷5 = 160. Then 3b+b=160 → b = 40 Rs/day.
{If 24 men can finish a work in 10 days, then find the number of days required to complete the same work by 30 men?
Show solution
Days = 24×10 ÷ 30 = 8.
Aninlet pipe can fill a tank in 10 hours and an outlet pipe empties the same full tank in 20 hrs. The time required to PREPARATION WI1 fill the tank when both pipes are opened?
Show solution
Net rate = 1/10 – 1/20 = 1/20. So tank fills in 20 hours.
|f10mencan construct a building in 40 days, how long will it take 20 men to do this work?
Show solution
Days = 10×40 ÷ 20 = 20.
If 16 machines do a piece of work in 4 days, then 8 machines will do the same job in days?
Show solution
Days = 16×4 ÷ 8 = 8.
If 20 mencan doa piece of work in 8 days, how many men will finish it in 10 days?
Show solution
Men = 20×8 ÷ 10 = 16.
Pipe “A” can fill a tank in 5 minutes whereas “B” can fill it in 6 minutes. How long would it take both pipes, working together, to fill it?
Show solution
Together = 5×6 ÷ (5+6) = 30/11 minutes.
If 16 men complete work in 10 days how much days are required completing work by 8 men?
Show solution
Days = 16×10 ÷ 8 = 20.
If 8 people work for 60 days how many days will it take for 6 people to complete the same work?
Show solution
Days = 8×60 ÷ 6 = 80.
10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days?
Show solution
Total work = 10×6×18 = 1080 man-hours. With 15 men × 12 days: 1080 ÷ 180 = 6 hours/day.
A person can doa work in 10 days but another can do it in 15 days. In how many days, they will complete the task if work together?
Show solution
Together = 10×15 ÷ 25 = 6 days.
If 10 men can doa piece of work in 20 days, how long will it take 8 men to do the same job if they work at the same rate?
Show solution
Days = 10×20 ÷ 8 = 25.
7mencan complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days?
Show solution
Mandays for double work = 2×7×12 = 168. In 8 days needs 168÷8 = 21 men. Additional = 21-7 = 14.
If 15 men can doa piece of work in 20 days then in how many days can 25 men finish the same work?
Show solution
Days = 15×20 ÷ 25 = 12.
40 men can do work in 50 days. How long it will take 25 men to do the work?
Show solution
Days = 40×50 ÷ 25 = 80.
Iften men can doa piece of work in twenty days, how long will it take if 8 men do the job when they work at the same rate?
Show solution
Days = 10×20 ÷ 8 = 25.
Amir does a work in 10 days and Babar does the same work in 15 days. In how many days do they together complete the same work?
Show solution
Together = 10×15 ÷ 25 = 6 days.
16 men build a house in 10 days. How much time will it take 8 men to do this work?
Show solution
Days = 16×10 ÷ 8 = 20.
5 workers, working 8 hours a day, finished painting a house in 2 days. If an identical house has to be painted completely in a day by 8 workers, how many hours should they work?
Show solution
Worker-hours = 5×8×2 = 80. With 8 workers × 1 day: 80÷8 = 10 hours.
If 15 men complete a work in 20 days, then 25 men will complete that work in how much days?
Show solution
Days = 15×20 ÷ 25 = 12.
12 men build a house in 24 days. How much time will it take 8 men to do this work?
Show solution
Days = 12×24 ÷ 8 = 36.
|f15 mencan doa piece of work in 8 days, how many men will finish it in 10 days?
Show solution
Men = 15×8 ÷ 10 = 12.
If 3 menor 6 boys can do a work in 20 days, then 6 men and 8 boys shall do it in?
Show solution
3 men = 6 boys ⇒ 1 man = 2 boys. So 6M+8B = 12B+8B = 20B. 6 boys take 20 days → 20 boys take 6×20÷20 = 6 days.
If 200 men can do a piece of work in 8 days, how many men will finish it in 10 days?
Show solution
Men = 200×8 ÷ 10 = 160.
Acandoa piece of work in 10 days and B can do it in 15 days. The number of days required by them to finish it, working together is?
Show solution
Together = 10×15 ÷ 25 = 6 days.
10mencan complete a job in 14 days. How long will it take 4 men to finish the same job if they work at the same rate?
Show solution
Days = 10×14 ÷ 4 = 35.
8&mencan doa work in 60 days. How long will it take 6 men to do the work?
Show solution
Days = 8×60 ÷ 6 = 80.
20mencan construct a building in 40 days. How long will it take 10 men to do this work?
Show solution
Days = 20×40 ÷ 10 = 80.
120 men are used to build a huge building for 30 days. How long will it take 80 men to do the same work?
Show solution
Days = 120×30 ÷ 80 = 45.
Time & Work MCQs for PPSC, FPSC, NTS & All Pakistani Competitive Exams
Time & Work is one of the most-tested word-problem topics in Pakistani competitive exam Math. From PPSC Lecturer, Sub-Inspector and Tehsildar tests to FPSC CSS Screening (MPT), NTS NAT/GAT, OTS, CTS, KPPSC, SPSC, BPSC and AJKPSC — almost every paper contains 1 to 5 time-and-work questions. Mastering this one topic alone can secure 2–5 marks in any One Paper format exam because every question reduces to the same work-rate logic.
QuizWing has compiled 62 verified time & work MCQs from real past papers spanning 2011–2026 — every question solved from scratch by AI and answer keys verified. The bank covers single-worker rates, combined work (two or three workers), man-day equivalence, pipes & cistern problems, work-in-stages, and wages distribution by work-rate.
What types of time & work questions appear?
- Basic work-rate — “If A finishes a job in 12 days, what is A’s daily rate?” → 1/12
- Combined work (A + B) — “A in 10 days, B in 15 days; together?” → 6 days
- Find third worker — “A+B in 12 days, A+B+C in 8 days; find C alone” → 24 days
- Man-day problems — “5 men finish in 6 days; how many days for 6 men?” → 5 days
- Pipes & cistern — filling and emptying pipes working together / opposite
- Work-in-stages — X works for 4 days then leaves, Y completes the rest
- Wages distribution — wages split in ratio of work done by each person
Key time & work formulas
Mental-math shortcuts
- Combined work shortcut — for two workers with a, b days: time = ab ÷ (a + b). Memorise!
- Inverse-ratio trick — if A is 3× faster than B, A’s time = B’s time ÷ 3
- Common LCM anchor — pick LCM(a, b) as total work units; each rate becomes a whole number
- Man-day cross-multiply — M₁D₁ = M₂D₂ for the same job; for partial work use fractions
- Pipe + leak — if pipe fills in p hours and leak empties in L hours, net time = pL ÷ (L − p)
- Wages — if A does w₁ work and B does w₂ work, wages split as w₁ : w₂
How to use this page for revision
Quiz mode: Tap any option — green = correct, red = wrong. Use the pagination buttons to move between sets of 25 MCQs at a time.
PDF download: Click Download PDF in the sticky bar to grab all 62 MCQs with answers for offline study.
Mixed practice: attempt our full PPSC Mock Test with all subjects + weighted distribution to simulate the real exam.
Time & Work weightage by exam
| Exam | Typical Time & Work MCQs | Marks Share |
|---|---|---|
| PPSC One Paper | 1–3 | 2–5 |
| FPSC Screening | 2–5 | 4–8 |
| NTS NAT / GAT | 3–6 | 5–10 |
| CSS Screening (MPT) | 3–6 | 6–12 |
| OTS / CTS | 2–4 | 3–7 |
| SPSC / KPPSC / BPSC | 1–3 | 2–5 |
All MCQs sourced from official past papers of PPSC, FPSC, SPSC, KPPSC and NTS. Found a wrong answer? WhatsApp 0302-1417839 — we fix every reported issue within 24 hours.
Frequently Asked Questions
Typically 1 to 3 geometry MCQs appear in every PPSC One Paper test (Sub-Inspector, Tehsildar, Junior Clerk, Lecturer, BPS-14/16/17). FPSC, NTS and CSS papers tend to include 2–5. Mastering this topic alone secures 2–5 guaranteed marks because most questions reduce to the same area, perimeter, angle and volume formulas.
Based on our analysis of 62 past-paper MCQs (2011–2026), the three most-recurring types are: (1) area of triangle / rectangle / circle, (2) polygon interior angle problems, and (3) volume & surface area of cube, cylinder and sphere.
No. Calculators are not allowed in PPSC, FPSC, NTS, OTS or any provincial commission exam. Practise mental math shortcuts — 10%, 25%, 50% calculations should take under 5 seconds.
Yes for PPSC and FPSC — 0.25 marks deducted per wrong answer. Strategy: if you can eliminate 2 out of 4 options confidently, attempt it; otherwise leave blank.
Yes — click the Download PDF button in the sticky bar at the top of the quiz section. You get all 62 MCQs with answers in a branded QuizWing PDF, free, no signup.
Yes — 100% transferable. All provincial public service commissions follow a near-identical Math syllabus. The same geometry MCQs appear (often verbatim) in SPSC, KPPSC, BPSC, AJKPSC and NTS NAT/GAT papers.
Message us on WhatsApp at 0302-1417839 with the question number and what you believe the correct answer should be. We verify against multiple sources and fix every reported issue within 24 hours.