THE NUMBERS, EXPLAINED
How to use this calculator.
Prototype event times are offsets from a common start, not wall-clock dates. Constant fast-clock rate throughout session.
Start with your inputs
Enter prototype event times (min from session start), fast-clock ratio (prototype minutes per real minute), real setup allowance before session (min). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Prototype event times (min from session start) | 0,30,90,120 |
| Fast-clock ratio (prototype minutes per real minute) | 4 |
| Real setup allowance before session (min) | 10 |
A worked example
With the example inputs above, real event offsets including setup (min) is 10, 17.5, 32.5, 40. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Real event offsets including setup (min) | 10, 17.5, 32.5, 40 |
| Real operating session duration (min) | 30 |
| Real elapsed time to last event (min) | 40 |
How this is calculated
Real event offsets including setup (min)
Divide prototype offsets by fast-clock ratio and add setup allowance.
Real operating session duration (min)
Scale interval between first and last events.
Real elapsed time to last event (min)
Scale last event offset and include setup.
Symbols and units
- a
- Prototype event times (min from session start)
- b
- Fast-clock ratio (prototype minutes per real minute)
- c
- Real setup allowance before session (min)
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
Prototype event times are offsets from a common start, not wall-clock dates. Constant fast-clock rate throughout session.
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?
Real event offsets including setup (min); Real operating session duration (min); Real elapsed time to last event (min). 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: Prototype event times are offsets from a common start, not wall-clock dates. Constant fast-clock rate throughout session.
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.
Read the quality report →