Time and Work — Revision Notes
XAT · Quantitative Ability & Data Interpretation
Free Time and Work revision notes for XAT Quantitative Ability & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Time and Work for XAT Quantitative Ability & Data Interpretation preparation.
Key Topics to Revise
Basic Concepts and Theory
- If A completes work in 'a' days, then A's one day work = 1/a of the total work
- Total work is considered as 1 unit or 100% for calculation purposes
- Work rate × Time = Work done (fundamental equation)
Solution Methods
- Fraction Method: Uses 1 as total work, calculations involve adding fractions
- Percentage Method: Uses 100% as total work, easier for mental calculations
- LCM Method: Most efficient, assumes total work as LCM of individual days
Advanced Applications
- Alternating Work: Workers take turns, solve by considering work cycles
- Variable Workforce: Workers join or leave during project execution
- Pipe and Cistern: Involves positive work (filling) and negative work (emptying)
Problem-Solving Strategies
- Identify the type of problem first (basic, alternating, variable, etc.)
- Choose appropriate method based on given data complexity
- Set up equations systematically using work rate principles
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