Speed, Distance & Time
Calculating rates using D = S × T and unit conversions
The Core Formula
Distance = Speed × Time
Rearrange for any unknown:
- Speed = Distance ÷ Time
- Time = Distance ÷ Speed
Tip: cover the unknown in the triangle to read the formula — Distance on top, Speed and Time on the bottom.
Units Must Match
| Distance | Speed | Time |
|---|---|---|
| km | km/h | hours |
| m | m/s | seconds |
Always convert time to hours when speed is in km/h:
- 30 min = 0.5 h | 15 min = 0.25 h | 45 min = 0.75 h | 90 min = 1.5 h
Worked Examples
Example 1: A car travels at 60 km/h for 2.5 hours. How far?
D = 60 × 2.5 = 150 km
Example 2: A cyclist rides 45 km at 15 km/h. How long?
T = 45 ÷ 15 = 3 hours
Example 3: A runner covers 400 m in 50 seconds. What is their speed?
S = 400 ÷ 50 = 8 m/s
Multi-Stage Journeys & Key Tips
Calculate each leg separately, then add times or distances.
Example: Drive 60 km at 40 km/h, then 60 km at 60 km/h.
T₁ = 60 ÷ 40 = 1.5 h | T₂ = 60 ÷ 60 = 1 h | Total = 2.5 hours
Key Tips
- Always check that distance, speed, and time units are consistent before calculating
- Average speed = total distance ÷ total time — do NOT average the two speeds directly
- Draw a timeline for complex journeys involving stops or direction changes
- Convert mixed time (e.g., 1 hr 30 min = 1.5 hr) before using the formula
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