Time and Work — Formula Sheet
XAT · Quantitative Ability & Data Interpretation
Free Time and Work formula sheet for XAT Quantitative Ability & Data Interpretation 2026 — all important formulas, equations, and constants for quick reference.
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Important formulas and equations from Time and Work for XAT Quantitative Ability & Data Interpretation.
Formulas — Time and Work
Basic Concepts and Formulas
Work Rate × Time = Work DoneIf A completes work in 'a' days, A's work rate = 1/a per dayCombined work rate = 1/a + 1/b (for A and B together)Time together = 1/(1/a + 1/b) = ab/(a+b)Solution Methods
Percentage Method: A does 100/a% work per dayLCM Method: Total work = LCM of all individual timesWork Equivalence: (Work₁/Work₂) = (Rate₁×Time₁)/(Rate₂×Time₂)Special Cases and Applications
Alternating work in n complete cycles = n × (work in 2 days)Pipes and Cisterns: Net rate = Inlet rate - Outlet rateWall building: (L₁B₁H₁)/(L₂B₂H₂) = (m₁t₁d₁)/(m₂t₂d₂)Efficiency and Workforce Problems
If A is n times more efficient than B: A's time = B's time/(n+1)Work equivalence: m₁ men working for d₁ days = m₂ men working for d₂ daysMen-Women-Children equivalence: Find common work unitGet the complete formula sheet with derivations — continue in Super Tutor
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