Time & Work
View Questions of Time & Work
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
- Convert all into “job/day” units before combining.
- For group work add rates; for differences subtract them.
5. Common Errors
- Adding times instead of rates.
- Misplacing sign for outflow in pipe problems.
6. Revision Checklist
- Practice combined work problems with varying rates.
Summary: Write individual rates, combine as needed, invert to get time. For pipes add inflow and subtract outflow rates, ensuring unit consistency.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Time & Work
- Time & Distance
- Simple Interest
- Area
- Volume & Surface Areas
- Mensuration
- Geometry (Lines, Angles, Triangles, Polygons)
- Data Interpretation
- Arithmetic Operations