Speed, Distance & Time
Relates how far, how fast and how long.
\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}
1What it means
Speed is distance covered per unit time. The same relation rearranges to Distance = Speed × Time and Time = Distance / Speed.
2Variables
| Symbol | Meaning |
|---|---|
| \text{Speed} | Distance per unit time |
| \text{Distance} | Length of the path |
| \text{Time} | Duration taken |
3Worked examples
Example 1 Worked solution
Q. A car covers 150 km in 3 hours. Find its speed.
- Speed = Distance / Time.
- = 150 / 3.
✓ 50 km/h
4Where it's used
- ✦Trains, boats-and-streams, and races problems.
- ✦Travel-time planning.
5Tips & common mistakes
- !Keep units consistent (km & hours, or m & seconds).
- !To convert km/h to m/s, multiply by 5/18.