Time & Work – Core Concept for Efficiency Problems
Quantitative Aptitude – Time & Work
Time and Work is a high-weightage topic in bank exams. It deals with efficiency, work rate, and time taken to complete tasks. Understanding this concept helps solve problems quickly.
---Basic Concept
Work = Time × Efficiency
Efficiency means how much work is done in one unit of time.
---Important Formulas
- If A completes work in x days → 1 day work = 1/x
- Total work = LCM of given times
- Combined work = Sum of individual work rates
Shortcut Tricks
1. LCM Method
If A takes 10 days and B takes 15 days LCM = 30 units A’s work/day = 3 units B’s work/day = 2 units Together = 5 units/day Time = 30 / 5 = 6 days
2. Efficiency Concept
If A is twice as efficient as B Then A:B = 2:1 Time ratio = 1:2
3. Work Rate Addition
(A + B) = A’s one day work + B’s one day work
---Practice Questions
Q1. A can complete work in 10 days. Find 1 day work
Answer: 1/10
Q2. A can do a work in 10 days and B in 20 days. How long together?
Answer: 6.67 days
Q3. If A is twice as efficient as B and B takes 12 days, find A’s time
Answer: 6 days
Q4. A and B together complete work in 8 days. If A alone takes 12 days, find B’s time
Answer: 24 days
Speed Strategy
- Use LCM method for faster solving
- Convert time into work units
- Focus on efficiency instead of time
- Avoid complex fractions
Practice Task
1. A can do work in 8 days, B in 16 days. Find together time
2. If A:B efficiency = 3:2, find time ratio
3. A and B complete work in 12 days. A alone takes 20 days. Find B’s time
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