Time study fact-check: “Normal time is the ratio of representative time to the rating factor.” Is this statement correct?

Difficulty: Easy

Correct Answer: False

Explanation:

Introduction / Context:Normal time links observed performance to a standard pace. Getting the formula right is critical for calculating standard times and fair incentives.

Given Data / Assumptions:

  • Representative (observed) time = average measured cycle time.
  • Rating factor R expresses performance relative to normal (e.g., 1.10 for 110%).
  • Allowances are not part of normal time; they are added later.

Concept / Approach:The correct relationship is: Normal time = Representative time * Rating factor. The statement claims a ratio (division), which is incorrect. Using division would penalize higher ratings by reducing normal time wrongly and misstate standards.

Step-by-Step Solution:

Compute representative time from multiple cycles.Apply rating: Normal time = Rep time * R.Compute standard time: Standard time = Normal time / (1 − allowance fraction).

Verification / Alternative check:Example: Rep time 1.0 min, R = 1.2. Correct Normal time = 1.2 min. Dividing would give 0.833 min, which contradicts the idea that faster-than-normal performance implies more time at normal pace.

Why Other Options Are Wrong:Qualifiers in (c), (d), and (e) do not fix the algebra; the relation is multiplication regardless of R or allowances.

Common Pitfalls:Mixing up rating factor with performance percentage; forgetting to separate allowances from the normal time stage.

Final Answer:False

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