THE NUMBERS, EXPLAINED
How to use this calculator.
Uses user-supplied per-distance and per-time costs; they must not count the same expense twice. Compares one route traversal.
Start with your inputs
Enter old route distance (km), new route distance (km), old route duration (h), new route duration (h), distance cost (currency/km), time cost (currency/h), old tolls, new tolls. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Old route distance (km) | 100 |
| New route distance (km) | 80 |
| Old route duration (h) | 3 |
| New route duration (h) | 2.5 |
| Distance cost (currency/km) | 0.4 |
| Time cost (currency/h) | 20 |
| Old tolls | 5 |
| New tolls | 8 |
A worked example
With the example inputs above, old route operating cost is 105. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Old route operating cost | 105 |
| New route operating cost | 90 |
| Saving per traversal | 15 |
How this is calculated
Old route operating cost
Add old distance, time and toll costs.
New route operating cost
Add new distance, time and toll costs.
Saving per traversal
Subtract new operating cost from old.
Symbols and units
- a
- Old route distance (km)
- b
- New route distance (km)
- c
- Old route duration (h)
- d
- New route duration (h)
- e
- Distance cost (currency/km)
- g
- Time cost (currency/h)
- h
- Old tolls
- i
- New tolls
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Uses user-supplied per-distance and per-time costs; they must not count the same expense twice. Compares one route traversal.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Old route operating cost; New route operating cost; Saving per traversal. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Uses user-supplied per-distance and per-time costs; they must not count the same expense twice. Compares one route traversal.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: Solve proportions and their applications ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
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