Math Problem Statement

A task completed in 1.16 hours versus the estimated 6.66 hours

Solution

The task that was completed in 1.16 hours versus the estimated 6.66 hours can be analyzed as follows:

  1. Difference in Time: The difference between the actual and estimated time is: 6.661.16=5.5 hours6.66 - 1.16 = 5.5 \text{ hours} This means the task was completed 5.5 hours faster than expected.

  2. Percentage of Actual Time Compared to Estimated Time: To find the percentage of time the task took compared to the estimated time: 1.166.66×100=17.42%\frac{1.16}{6.66} \times 100 = 17.42\% So, the task took approximately 17.42% of the estimated time.

  3. Efficiency: To measure efficiency, you can compare the ratio of the estimated time to the actual time: 6.661.165.74\frac{6.66}{1.16} \approx 5.74 This indicates the task was done about 5.74 times faster than estimated.

Would you like more details on any part of this analysis?

Related Questions:

  1. How do you calculate the time savings as a percentage of the original estimate?
  2. How would the efficiency change if the task was completed in 2 hours instead of 1.16 hours?
  3. What are the factors that might cause a task to be completed much faster than expected?
  4. How does reducing time affect the overall cost of a project?
  5. Can this method of comparison be applied to other areas, like budgeting or resource estimation?

Tip:

When estimating time for tasks, consider adding a buffer for unforeseen efficiencies or delays to improve accuracy.

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Math Problem Analysis

Mathematical Concepts

Time Analysis
Percentage Calculation
Efficiency

Formulas

Time Difference: Estimated Time - Actual Time
Percentage of Actual Time: (Actual Time / Estimated Time) * 100
Efficiency: Estimated Time / Actual Time

Theorems

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Suitable Grade Level

Grades 9-12