Time & Work – Advanced Tricks & Mixed Problems
Master efficiency-based problems using shortcut tricks for bank exams.
1. Important Concepts
- Work ∝ Time (inverse relation with efficiency)
- Efficiency = Work done per day
- Total work = LCM of given days
- Work = Rate × Time
2. Speed Tricks
- Use LCM method for faster solving
- Convert days into efficiency
- Use unit work concept (1/day)
- Shortcut for pipes and cisterns
3. Tough Problems
Q1: A can do a work in 12 days, B in 18 days. In how many days can they complete together?
Solution:
A = 1/12, B = 1/18
LCM = 36
(3 + 2)/36 = 5/36
Time = 36/5 = 7.2 days
Q2: A can do a work in 10 days. B is twice as efficient. Find time taken together.
Solution:
A = 1/10, B = 2/10 = 1/5
Total = 3/10
Time = 10/3 = 3.33 days
Q3: A and B together complete work in 6 days. A alone in 10 days. Find B alone time.
Solution:
A+B = 1/6
A = 1/10
B = (1/6 − 1/10) = 4/60 = 1/15
Time = 15 days
Q4: A can complete work in 8 days, B in 12 days. They work together for 2 days. Remaining work?
Solution:
Total work = 24 units
A = 3, B = 2 → total = 5/day
Work done = 10
Remaining = 14 units
Q5: Pipe A fills tank in 6 hours, Pipe B empties in 8 hours. Time to fill?
Solution:
A = 1/6, B = −1/8
Total = (4−3)/24 = 1/24
Time = 24 hours
4. Exam Tips
- Always convert into efficiency
- Use LCM to avoid fractions
- Practice pipe problems separately
- Focus on speed calculation
Quant • Time & Work • Bank Exam Preparation
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