Work Efficiency | Time & Work Aptitude Practice | Kuriloo

Fundamental Principles

The Core Efficiency Equation

Governed by the rule: Total Work = Efficiency × Time. If Total Work is held constant at 1 unit, then Efficiency = 1 / Time.

Efficiency Ratios

If Person A is twice as efficient as Person B, their output ratio is 2:1, meaning the ratio of time taken by them to complete the identical task will be exactly 1:2.

Essential Formulation Tips

When adding or subtracting the capacities of multiple workers, always combine their units of efficiency or work-per-day, never add their raw days directly.
If an individual's efficiency increases by x%, their updated efficiency factor becomes (100 + x) / 100 of the original rate.

Shortcut Execution Techniques

Assign a concrete numeric value to 'Total Work' by finding the Least Common Multiple (LCM) of all given time frames. This eliminates fractions and lets you work with simple whole-number efficiencies.

Contextual Inquiries (FAQs)

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Example Breakdown: Evaluating Time Scales from Efficiency Multipliers

Baseline operational challenge testing proportional logic and variable isolation scaling.

Problem QueryAlice is 3 times as efficient as Bob and is therefore able to finish a task 40 days ahead of him. Calculate the total time required for Bob to complete the task alone.

Step-By-Step Solution Path

Step 1: Express the efficiency ratio of Alice to Bob as 3:1.

Step 2: Translate this to their time ratio, which is inversely proportional: 1:3. Let Alice take x days and Bob take 3x days.

Step 3: Set up the timeline offset equation: 3x - x = 40 -> 2x = 40 -> x = 20 days.

Step 4: Calculate Bob's standalone time frame: 3x = 3 × 20 = 60 days.

Analytical Hint: Use the inverse ratio pattern to establish linear algebraic equations for the shifting timelines.

Work Efficiency Practice Set 1

Basic efficiency, ratio and time calculations.

Q1. X is 50% more efficient than Y. If Y takes 15 days, how many days does X take?

Q2. A can do a work in 20 days, B in 30 days. Together they take?

Q3. If A is twice as fast as B, and B takes 18 days, A takes?

Q4. A completes a work in 10 days. Work done in 4 days is?

Q5. A and B together complete work in 8 days, A alone in 12 days. B alone takes?

Q6. If 5 workers finish a job in 10 days, 10 workers will finish in?

Q7. A is 3 times efficient as B. If B takes 30 days, A takes?

Q8. A alone can complete work in 16 days. In 4 days work done is?

Q9. A and B together take 6 days. A alone takes 10 days. B alone?

Q10. If 1 man does work in 24 days, 3 men will do in?