985.X can complete a work in 20 days and Y can complete the same work in 25 days. If they work together for 5 days and then Y leaves, how long will it take for X to complete the remaining work?#
- A8 days
- B10 days
- C12 days
- D11 days
All 37 Time & Work questions the Punjab PSC asked between 2015 and 2026, each with a worked answer and the exam it came from. First 10 free to read.
9 of these 37 were set in more than one exam — the Commission reuses this topic, which is the argument for working through it rather than skimming it.
Free to read, with the worked answer and the exam each one came from. The book prints this topic in the order the Commission favours, so these are the ones to know first.
Take the work as 100 units. X does 5 units a day, Y does 4 units a day. > Together in 5 days = 5 × (5 + 4) = 45 units > Remaining = 100 − 45 = 55 units > X alone: 55 ÷ 5 = 11 days So X needs 11 more days.
Both statements describe the same whole work, so set them equal. > 28(2m + 7w) = 11(6m + 16w) → 56m + 196w = 66m + 176w, so m = 2w > Whole work = 56m + 196w = 308w > 5 men + 4 women = 10w + 4w = 14w a day > 308 ÷ 14 They finish it in 22 days.
5 men = 8 women, so 15 men = 24 women. So 8 women + 15 men = 32 women. > 8 women do 1 work in 8 days → 32 women do it in 8 × 8/32 = 2 days > Double work = 2 × 2 = 4 days So 4 days.
Work done per day by A and B together is 1/8 + 1/10 = 9/40; all three together do 1/4 = 10/40 per day. > C's one-day work = 10/40 − 9/40 = 1/40 > C alone takes 40 days So C alone needs 40 days.
If 3 cats catch 3 mice in 3 minutes, each cat catches one mouse every 3 minutes. > 1 cat in 100 minutes catches 100/3 mice > 3 cats in 100 minutes catch 100 mice So the same 3 cats are enough. The rate, not the count, scales with time.
A does 1/18 of the work per day. B does 1/12 per day. > Together per day = 1/18 + 1/12 = 2/36 + 3/36 = 5/36 > In 6 days = 6 × 5/36 = 30/36 = 5/6 So 5/6 of the work is completed.
B worked all 15 days. A did the rest of the work. > B's work in 15 days = 15/20 = 3/4 > A's share = 1 − 3/4 = 1/4 → A worked 32 × 1/4 = 8 days > Difference = 15 − 8 = 7 days So B worked 7 days more than A.
Work per day of (A + B) is 1/12 and of A alone 1/24. > B's one-day work = 1/12 − 1/24 = 1/24 So B alone takes 24 days — the same as A, since together they do it in half the time.
Work in person-hours. Two persons for 2 hours a day for 2 days give 2 × 2 × 2 = 8 person-hours, which produce 2 machines, so one machine needs 4 person-hours. > 6 persons × 6 hours × 6 days = 216 person-hours > 216 ÷ 4 = 54 machines
Total work = 5 × 20 = 100 man-days. > Men needed for 10 days = 100 ÷ 10 = 10 Men and days are inversely proportional: halving the time doubles the men needed.
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See the printed book →The Commission set 37 Time & Work questions across 61 papers between 2015–2026. That is the whole set, not a sample — every one of them is in the book, and the 10 most-asked are on this page free.
Yes. 9 of these 37 were set in more than one exam, which is why they are worth working rather than reading. Each question here carries a badge showing how many sittings asked it.
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The questions are on screen rather than in a downloadable file, so they stay current and correct. The printed book has all 37 of these plus the rest of the Reasoning & Aptitude section, and every buyer gets the whole thing online as well.
The exams behind these questions, most first. A paper here is a sitting: a question set in two papers of the same sitting counts once.
| Exam | Year | Questions |
|---|---|---|
| Senior Scientific Officer (Drugs) | 2018 | 4 |
| Enquiry Officer | 2018 | 4 |
| Drugs Control Officer | 2018 | 4 |
| Senior Scientific Officer (Food Safety) Microbiology | 2018 | 4 |
| Assistant Director, Industrial Training Principal Junior Scale Industrial Traini | 2018 | 4 |
| Punjab Civil Services (Prelims) — CSAT | 2025 | 3 |
| Assistant Electrical Inspector (Group-A) | 2024 | 3 |
| Scientific Assistant Toxicology | 2018 | 3 |
| Draftsman Architect (Group-B) | 2026 | 2 |
| Horticulture Development Officer | 2026 | 2 |
| Technical Assistants | 2019 | 2 |
| Legal Assistant | 2019 | 2 |