# Distance-Speed-Time Triangle Calculator API

> For the complete documentation index, see [llms.txt](/llms.txt).

Solve distance, speed, or time from the other two, plus multi-leg average speed and round-trip harmonic mean.

Use this endpoint to add the tool to your app, site, workflow, or agent without rebuilding formulas, validation, examples, and docs.

- Slug: `distance-speed-time-triangle-calculator`
- Category: `math`
- Version: `2026-04-22`
- Credits per successful call: 1
- Starts on: free
- Max payload: 65536 bytes
- Privacy mode: `hash_only`
- Available on: free, starter, pro, business, scale
- Browser tool: https://miniwebtool.com/distance-speed-time-triangle-calculator/

## Endpoint

`POST https://api.miniwebtool.com/v1/tools/distance-speed-time-triangle-calculator/run`

## Request body

| Field | Type | Required | Description |
| --- | --- | --- | --- |
| `mode` | `str` | no | solve_d | solve_s | solve_t | multi_leg | round_trip Choices: solve_d, solve_s, solve_t, multi_leg, round_trip |
| `distance` | `float | None` | no |  |
| `distance_unit` | `str` | no | km | mi | m | ft Choices: km, mi, m, ft |
| `speed` | `float | None` | no |  |
| `speed_unit` | `str` | no | kmh | mph | ms | fts Choices: kmh, mph, ms, fts |
| `time_hours` | `float | None` | no |  |
| `legs` | `str | None` | no | Semicolon-separated 'distance,speed' legs (multi_leg mode) |
| `speed_there` | `float | None` | no |  |
| `speed_back` | `float | None` | no |  |
| `distance_one_way` | `float | None` | no |  |
| `precision` | `int` | no |  |

## Example request

```json
{
  "mode": "solve_d",
  "speed": 60,
  "speed_unit": "kmh",
  "time_hours": 2.5
}
```

## cURL

```bash
curl -X POST https://api.miniwebtool.com/v1/tools/distance-speed-time-triangle-calculator/run \
  -H 'Authorization: Bearer mwt_live_YOUR_KEY' \
  -H 'Content-Type: application/json' \
  -d '{"mode":"solve_d","speed":60,"speed_unit":"kmh","time_hours":2.5}'
```

## Response envelope

```json
{
  "request_id": "01K...",
  "tool": "distance-speed-time-triangle-calculator",
  "tool_version": "2026-04-22",
  "credits_used": 1,
  "result": {}
}
```

## Errors

Errors are RFC 7807 `application/problem+json`. Branch on `code`, not `title`.

## MCP

Agents can discover and call this tool through `https://api.miniwebtool.com/mcp` or `https://api.miniwebtool.com/v1/mcp` using MCP `tools/list` and `tools/call`.

## Frequently asked

### What does the Distance-Speed-Time Triangle Calculator API do?

Solve distance, speed, or time from the other two, plus multi-leg average speed and round-trip harmonic mean. Use it to add this utility without rebuilding formulas, validation, examples, and documentation.

### How much does one call cost?

1 credit per successful call. Failed calls do not bill.

### What parameters are required?

Required fields: (none). Full schema at `https://api.miniwebtool.com/v1/openapi.json`.

### Is this deterministic?

Yes. Same input, same output. Tool version: 2026-04-22.