Time & Work
The fastest way through Time & Work is the LCM (unit-of-work) method: let the total work be the LCM of the given days, so each worker's one-day work becomes a whole number of units. Add rates to combine workers, subtract for a leak, and divide total units by combined rate to get the time. Pipes and cisterns is the same idea with inlets positive and outlets negative; work-and-wages just splits pay in the ratio of work done.
Topics
⚡ SSC shortcuts & speed methods
The fastest ways to crack this chapter under time pressure — the techniques that separate a 95+ percentiler from the rest.
- Set total work = LCM of the given days -> whole-number rates.
- Two workers together: ab/(a+b) days.
- Pipes: inlets +, outlets -, add signed rates.
- Wages split in the ratio of work done (rate x days).
- Men-days are conserved: M1 D1 = M2 D2 for the same job.
⚠️ Common mistakes & traps
SSC is designed so that careless errors here cost you marks. Internalise each trap before the exam.
- Adding days instead of adding rates.
- Forgetting to subtract a leak/outlet rate.
- Splitting wages by time worked instead of work done.
- Averaging two times rather than using ab/(a+b).
📈 SSC exam insight & PYQ analysis
🎴 Flashcards — instant recall
Tap a card to reveal the answer. Drill these until they are automatic.
📌 Quick revision
Chapter test
🏆 Vidaara SSC success checklist
You have truly mastered Time & Work when you can tick every box below.
- Recall every formula in this chapter without looking them up
- Solve each topic’s practice set with at least 80% accuracy
- Use the chapter shortcuts to cut your solving time in half
- Spot and avoid every common trap listed above
- Score 80%+ on the timed chapter test
📋 Chapter mastery scorecard
Track where you stand. Aim for the target before moving to the next chapter.
| Skill checkpoint | Target |
|---|---|
| Concept theory & formulas understood | 100% |
| Topic practice sets attempted (4 topics) | 4/4 |
| Best topic-test score | — → 80%+ |
| Chapter test score | — → 80%+ |
| Flashcards drilled to instant recall | 5 cards |
Formula Reference Sheet
Core ideas
| One-day work | if A finishes in d days, rate = 1/d (or total/d units) |
|---|---|
| Combined | time = total work / (sum of rates) |
| Together formula | A and B together: ab/(a+b) days |
| Wages | pay splits in the ratio of work done (= ratio of rates if same time) |
Pipes
| Inlet | adds water (+rate) |
|---|---|
| Outlet / leak | removes water (-rate) |