Quantitative Aptitude – Time & Work
Calculate work done collectively or individually using rate × time relations.
1. Basic Formula
Work = Rate × Time. If A does a job in a days, A’s rate = 1/a job per day.
2. Combined Work
If A and B work together, rate = 1/a + 1/b. Total time = 1/(rate).
3. Pipes and Cisterns
Inlet adds, outlet removes. Net rate = sum(inlet rates) − outlet rate.
4. Quick Tips
5. Common Errors
6. Revision Checklist
Summary: Write individual rates, combine as needed, invert to get time. For pipes add inflow and subtract outflow rates, ensuring unit consistency.