Time and Work Concepts for Bank Exams
Time & Work Mastery (Professional Level)
Time & Work is a logic-based topic where efficiency and speed play a key role. LCM method makes solving much faster.
1. Basic Formula
Work = Time × Efficiency
Efficiency = Work / Time
2. LCM Method (Most Important)
Example: A completes work in 10 days, B in 20 days
LCM of 10 and 20 = 20
A's efficiency = 20/10 = 2
B's efficiency = 20/20 = 1
Total efficiency = 3
Time = 20/3 days
This method avoids fractions and speeds up solving
3. Efficiency Concept
More efficiency → Less time Less efficiency → More time
Example: If A is twice efficient as B → A takes half time
4. Work Distribution
Work is divided based on efficiency ratio
Example: A : B = 2 : 1 → A does 2/3 work, B does 1/3
5. Pipes & Cisterns Concept
Inlet → Positive work Outlet → Negative work
Example:
Pipe fills in 10 hrs → +1/10
Pipe empties in 20 hrs → -1/20
Net = 1/20
6. Shortcut Tricks
- Use LCM method always
- Convert time into efficiency
- Avoid direct fraction solving
- Track negative work carefully
7. Formula Logic
If A takes x days → 1 day work = 1/x If B takes y days → 1 day work = 1/y Together work = (1/x + 1/y)
Speed Strategy
- Use LCM approach
- Convert everything into efficiency
- Avoid complex fractions
- Practice pipe problems
Practice Questions
1. A does work in 12 days, B in 6 days. Time together?
2. A is twice efficient than B. If B takes 10 days, A takes?
3. Pipe fills in 8 hrs, empties in 16 hrs. Net time?
4. Divide work in ratio 3:2
Efficiency-Based Thinking Improves Speed
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