Math Problem Statement
A worker has an average observed time of 15 minutes per cycle for one activity. The worker's performance rating is 97%. An allowance for fatigue is given as 5%, and special allowances are given as 2%. What is the standard time for this activity? (Enter your numbers in minutes)
Solution
To find the standard time for the activity, we use the following formula:
Where:
- Observed Time = 15 minutes
- Performance Rating = 97% = 0.97
- Fatigue Allowance = 5% = 0.05
- Special Allowances = 2% = 0.02
First, we calculate the total allowance factor:
Now, we can calculate the standard time:
So, the standard time for the activity is 15.58 minutes.
Would you like more details on the calculation? Let me know if you have any questions.
Here are some related questions for further exploration:
- How does the performance rating impact the standard time?
- What is the purpose of adding allowances to the observed time?
- How would the standard time change if the observed time were different?
- How do fatigue and special allowances affect overall productivity?
- What is the difference between a performance rating and a normal time?
Tip: Always check the units when performing calculations involving percentages to ensure consistency in the final result.
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Math Problem Analysis
Mathematical Concepts
Time Study
Standard Time Calculation
Percentage Calculations
Formulas
Standard Time = Observed Time × (Performance Rating / 100) × (1 + Allowance Factor)
Allowance Factor = Fatigue Allowance + Special Allowances
Theorems
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Suitable Grade Level
Grades 10-12
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