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Time & work, pipes & cisterns formulas
6 formulas for Time & work, pipes & cisterns, from the Arithmetic & Quantitative Aptitude section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Work rate | If A finishes in a days, A's 1-day work = 1/a | |
| Working together | Time = ab / (a + b) | A in a days, B in b days |
| Three together | Time = 1 / (1/a + 1/b + 1/c) | |
| Men–days–hours | M₁D₁H₁ / W₁ = M₂D₂H₂ / W₂ 🧮 Solve step by step | |
| Pipes | Filling pipe: +1/a; emptying pipe: −1/b per hour | |
| Fill & empty together | Time = ab / (b − a) | fill in a, empty in b (b > a) |
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