THE NUMBERS, EXPLAINED
How to use this calculator.
Alighting happens before boarding at each stop. Counts describe one trip, and overload is reported rather than treated as feasible seating.
Start with your inputs
Enter boarding counts by stop, alighting counts by stop, initial onboard passengers, vehicle passenger capacity. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Boarding counts by stop | 10,8,2 |
| Alighting counts by stop | 0,3,12 |
| Initial onboard passengers | 0 |
| Vehicle passenger capacity | 15 |
A worked example
With the example inputs above, onboard after each stop is 10, 15, 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Onboard after each stop | 10, 15, 5 |
| Peak onboard passengers | 15 |
| Segments over capacity | 0 |
How this is calculated
Onboard after each stop
Roll initial load forward with boardings minus alightings.
Peak onboard passengers
Take the maximum initial or after-stop load.
Segments over capacity
Count after-stop loads above vehicle capacity.
Symbols and units
- a
- Boarding counts by stop
- b
- Alighting counts by stop
- c
- Initial onboard passengers
- d
- Vehicle passenger capacity
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
Alighting happens before boarding at each stop. Counts describe one trip, and overload is reported rather than treated as feasible seating.
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?
Onboard after each stop; Peak onboard passengers; Segments over capacity. 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: Alighting happens before boarding at each stop. Counts describe one trip, and overload is reported rather than treated as feasible seating.
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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