THE NUMBERS, EXPLAINED
How to use this calculator.
Constant weekly arrivals and listening capacity. Catch-up week is rounded up; when arrivals meet or exceed capacity the result explicitly reports no catch-up.
Start with your inputs
Enter existing podcast backlog (minutes), new episodes per week (count), average new episode length (minutes), weekly listening capacity (minutes), projection length (weeks). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Existing podcast backlog (minutes) | 300 |
| New episodes per week (count) | 2 |
| Average new episode length (minutes) | 30 |
| Weekly listening capacity (minutes) | 120 |
| Projection length (weeks) | 4 |
A worked example
With the example inputs above, net catch-up capacity (minutes/week) is 60. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Net catch-up capacity (minutes/week) | 60 |
| Projected backlog (minutes) | 60 |
| Catch-up week | 5 |
How this is calculated
Net catch-up capacity (minutes/week)
Subtract new episode minutes from listening capacity.
Projected backlog (minutes)
Apply the weekly net change to initial backlog.
Catch-up week
Divide backlog by positive net capacity; otherwise report nonconvergence.
Symbols and units
- a
- Existing podcast backlog (minutes)
- b
- New episodes per week (count)
- c
- Average new episode length (minutes)
- d
- Weekly listening capacity (minutes)
- e
- Projection length (weeks)
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
Constant weekly arrivals and listening capacity. Catch-up week is rounded up; when arrivals meet or exceed capacity the result explicitly reports no catch-up.
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?
Net catch-up capacity (minutes/week); Projected backlog (minutes); Catch-up week. 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: Constant weekly arrivals and listening capacity. Catch-up week is rounded up; when arrivals meet or exceed capacity the result explicitly reports no catch-up.
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 Prealgebra 2e — arithmetic and proportions ↗
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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