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Speed, distance, and time (SDT) problems appear frequently in QR, often embedded in timetable, journey planning, or data table scenarios. The mathematics is GCSE-level, but the time pressure and the need to convert units make these questions tricky under exam conditions. This lesson covers the core formulas, unit conversions, multi-leg journeys, and the common traps.
| To Find | Formula |
|---|---|
| Distance | Speed × Time |
| Speed | Distance ÷ Time |
| Time | Distance ÷ Speed |
Memory Aid: The SDT triangle. Place Distance at the top, Speed and Time at the bottom. Cover the quantity you want to find — the remaining two show the formula.
The most common source of error in SDT problems is mismatched units.
| If Speed Is In... | Time Must Be In... | Distance Will Be In... |
|---|---|---|
| km/h | hours | km |
| mph | hours | miles |
| m/s | seconds | metres |
| km/min | minutes | km |
Example: A car travels at 60 km/h for 45 minutes. How far does it travel?
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