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Rate Equations
𝑊𝑜𝑟𝑘 𝑜𝑟 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝑅𝑎𝑡𝑒 × 𝑇𝑖𝑚𝑒
𝑅𝑎𝑡𝑒 = (𝑊𝑜𝑟𝑘 𝑜𝑟 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒)/𝑇𝑖𝑚𝑒 | 𝑇𝑖𝑚𝑒 = (𝑊𝑜𝑟𝑘 𝑜𝑟 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒)/𝑅𝑎𝑡𝑒
Ratio Table
- Ratio Values and Real Values Sum to Total Parts
- Multiplier is a Constant for All Columns in Any Proportion
- Divide Any Real Value by Ratio to Find Constant Multiplier for Table
- Multiply Ratio Value by Multiplier to Solve for Any Real Values
Using the Circle
- Visual Representation of 𝑊𝑜𝑟𝑘 𝑜𝑟 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝑅𝑎𝑡𝑒 × 𝑇𝑖𝑚𝑒
- Any Two Values can Solve for a Third
- Use Multiple Circles to Coordinate Complex Rates
- Add or Subtract Raw Work, Distances, or Times (Confirming Constant Metric), but Not Rates, Across Multiple Circles
𝐶𝑜𝑚𝑏𝑖𝑛𝑒𝑑 𝑇𝑖𝑚𝑒 = (𝑇𝑖𝑚𝑒 𝐴×𝑇𝑖𝑚𝑒 𝐵)/(𝑇𝑖𝑚𝑒 𝐴+𝑇𝑖𝑚𝑒 𝐵)
Using the Formula
- Simplification of Combined Rates Formula
- Confirm Consistency of Metrics in Usage
- Use Only for Combined Time
- Beware of Applying for Combined Rates or Vice Versa