CAT Quant · Chapter Test
Time & Work — 25-Question Test
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Formula Reference Sheet
This chapter
Core rate & efficiency
| Work rate | Rate = Work ÷ Time (units per day) |
|---|---|
| Total work (LCM trick) | Total work = LCM of the given days |
| Efficiency from days | Efficiency = Total work ÷ days |
| Combined time | Time = Total work ÷ (sum of efficiencies) |
| Efficiency ∝ 1/Time | If A is k× as fast as B ⇒ A takes 1/k of B’s time |
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| Two together (classic) | Time = (a × b) ÷ (a + b) days |
|---|---|
| Man-days (work equivalence) | M1 × D1 = M2 × D2 (same job) |
| Full chained formula | M1·D1·H1 / W1 = M2·D2·H2 / W2 |
| Wages share | Wages split in the ratio of work done (= ratio of efficiencies × days worked) |
| Leak / negative work | Effective rate = inflow rate − leak rate |
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