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Speed Distance Time Question Generator

Three quantities, one formula triangle, and one step that decides most of the marks: the units. A speed in kilometres per hour needs a time in hours, and a journey given as forty-five minutes has to be converted before anything else happens. Questions above the gentle level give the time in minutes deliberately, and the working converts it first rather than silently.

What this generator does

Generates a journey with a speed in kilometres per hour and a time in either whole hours or quarter-hour multiples of minutes, then asks for the distance, the speed or the time. Time answers are given in minutes, which forces a conversion back the other way.

How to use this tool

  1. Choose how many journeys you want and at what level.
  2. Convert the time to match the units in the speed before dividing or multiplying.
  3. Reveal the answers to check, and the working to see the conversion.
  4. Seed the set to give the same journeys to someone else.

Understanding the controls

How many questions
Between 1 and 20. Ten gives several of each of the three question directions.
Level
Gentle uses whole hours and asks only for distance. Standard and stretch use times in minutes and ask for any of the three quantities.
Seed
Reproduces the same journeys from a word you choose.
Show the answers / working
The value, or the conversion and the division written out.

Common use cases

  • Practice at unit conversion inside a calculation rather than as its own exercise
  • Mixing find-the-distance, find-the-speed and find-the-time questions
  • Keeping to whole hours while the formula triangle is still new
  • Showing why an answer sixty times too large means minutes were left unconverted
  • Producing a repeatable set of journey questions

How this generator works

A speed and a time are drawn, the time in quarter-hour steps above the gentle level, and the distance follows. The question then hides one of the three. The check recomputes the hidden quantity from the two the question states and requires a match after rounding, so a conversion error could not survive into a displayed question.

Randomness and fairness

The speed, the time and which quantity is hidden are random; the conversions are arithmetic. Seeded sets are reproducible and therefore explicitly not cryptographically secure. Unseeded sets use the browser's cryptographically secure generator.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

  • Average speed only. Acceleration and varying speed are the SUVAT generator's territory, not this one's.
  • Distances are in kilometres and speeds in km/h; imperial units are not offered.
  • Journeys are single legs, so multi-stage journeys with different speeds are not generated.
  • Answers are shown for comparison; nothing you write down is marked.
  • A journey set disappears when you leave; seed one to bring it back.

Privacy and your data

Journeys are generated and checked in your browser. Nothing you set or generate is sent anywhere or stored.

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