⏳ Time & Work
Time & Work is a common topic in competitive exams. Here are the important concepts, formulas, and examples you need to know:
📌 Basics
- If a person can complete a work in n days, then work done in 1 day = 1/n.
- If A can finish in a days and B in b days, then together they take (a × b) / (a + b) days.
- Wages are proportional to work done.
- Efficiency Method: Assume total work = LCM of days.
📌 Variations
- Work together, then one leaves: Calculate work done, subtract, and check remaining.
- Work + Negative Work (e.g., Pipes & Cisterns): Net work = Fill rate – Empty rate.
- Alternate Days: A works 1 day, B next day. Add 2-day cycle.