Time, Work & Pipes and Cisterns
Practice 290+ official SSC CGL Time, Work & Pipes PYQs online. Total work LCM method, efficiency ratios, alternate day work & step-by-step solutions.
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4-Step Solution & Tricks
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🎯 High-Yield Syllabus Breakdown
These high-frequency concepts account for over 90% of all questions asked in Time, Work & Pipes and Cisterns:
- Total Work using LCM Method & Individual Efficiency
- Alternate Day Working by Two or Three People
- Men, Women and Children Equivalence (M₁ D₁ H₁ / W₁ = M₂ D₂ H₂ / W₂)
- Pipes and Cisterns (Inlet positive efficiency, Outlet negative efficiency)
- Wages Distribution Proportionate to Total Work Done
⚡ Essential Formulas & Speed Shortcuts
Formulas and time-saving shortcuts to solve Time & Work questions in under 45 seconds:
Chain Rule: (M₁ × D₁ × H₁) / W₁ = (M₂ × D₂ × H₂) / W₂.
Two person working together: Time = (A × B) / (A + B).
Efficiency is inversely proportional to time taken: Eff₁ / Eff₂ = Time₂ / Time₁.
📖 Sample Solved Exam Questions
Preview authentic questions from this chapter with full step-by-step solutions:
💡 View Step-by-Step Solution & Answer
Correct Answer: 54
- Step 1: Understand problem conditions and equations.
- Step 2: Here, W1 = W2 = 140 MM DD W MD W MD M M 12/12 1/11 2/22 2 2/36 21/14 140/36 21/140 14 3 == == = ⇒ × = × ⇒ ,? , ∵ 662 1/14 54× =
- Step 3: Evaluating gives verified answer: 54.
⚡ Speed Tip: Verify intermediate calculations and units.
💡 View Step-by-Step Solution & Answer
Correct Answer: 10 days
- Step 1: Understand problem conditions and equations.
- Step 2: Women 20/100 10/10 50 x Days Length ∴ 10/20 100/50 10: : :: :⎫ ⎬ ⎭ x ⇒ 10/100 20/50 10×× =× ×x ⇒ x = ×× =20/50 10/1000 10 days
- Step 3: Evaluating gives verified answer: 10 days.
⚡ Speed Tip: Verify intermediate calculations and units.
💡 View Step-by-Step Solution & Answer
Correct Answer: 3 1/13 days
- Step 1: Understand problem conditions and equations.
- Step 2: A’s 1 day work = 1/24 B’s 1 day work = 1 5 C’s 1 day work = 1/12 ∴ (A + B + C)’s 1 day work =+ +1/24 1 5 1/12 = ++52/41 0/120 ==39/120 13/40 ∴ Required time ==40/13 3 1/13
- Step 3: Evaluating gives verified answer: 3 1/13 days.
⚡ Speed Tip: Verify intermediate calculations and units.
❓ Frequently Asked Questions (FAQs)
How does the LCM method solve Time & Work in 15 seconds?
Assume Total Work = LCM of given days. Divide work by days to get daily unit efficiency. Sum efficiencies and divide total work.