Question 1

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General aptitude questions involving work and time are a staple in competitive exams, testing logical reasoning and mathematical skills. This classic problem explores the inverse relationship between manpower and time required for task completion, a fundamental concept in efficiency analysis.

Understanding the Core Concept

At the heart of work and time problems lies the principle that more workers lead to faster completion, assuming uniform work rates. This inverse proportionality is key to solving such puzzles efficiently.

Defining Work Rate

Accepted Answer

Each man's work rate can be expressed as the fraction of work done per day. For instance, if 12 men finish in 15 days, the total work is constant, and individual rates are additive.

Question 2

Applying Inverse Proportion

Accepted Answer

When the number of men increases, the time decreases proportionally. This relationship is mathematically represented using ratios, making it straightforward to solve for unknown variables.

Question 3

Step-by-Step Calculation

Accepted Answer

First, determine the total work units. If 12 men take 15 days, total work is 12 * 15 = 180 man-days. This metric standardizes the task for any number of workers.

Question 4

Common Pitfalls and Tips

Accepted Answer

Avoid assuming linear relationships without verifying constants like work rate. Missteps often occur if individual efficiencies vary, but in standard problems, uniformity is assumed.

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