01 Key Concepts
Core Relationship
Speed = Distance / Time. Rearranged: Distance = Speed x Time, and Time = Distance / Speed.
Units
Speed is commonly measured in km/h or m/s. Be careful to keep units consistent before calculating.
Average Speed
Average speed = Total distance / Total time (not simply the average of individual speeds unless times are equal).
Relative Speed (Same Direction)
When two objects move the same way, relative speed = difference of their speeds.
Relative Speed (Opposite Directions)
When two objects move toward each other, relative speed = sum of their speeds.
03 Key Formulas
- Speed = Distance / Time
- Distance = Speed x Time
- Time = Distance / Speed
04 Solved Examples
Example 1 A car travels 180 km in 3 hours. Find its speed.
- Speed = Distance / Time = 180 / 3.
Answer: 60 km/h
Example 2 A train moves at 80 km/h for 2.5 hours. Find the distance covered.
- Distance = Speed x Time = 80 x 2.5.
Answer: 200 km
Example 3 Two cars start at the same point and travel in opposite directions at 50 km/h and 60 km/h. How far apart are they after 2 hours?
- Relative speed (opposite directions) = 50 + 60 = 110 km/h.
- Distance = Relative speed x Time = 110 x 2.
Answer: 220 km
05 Practice Questions
1Find speed if distance = 240 km and time = 4 hours.
60 km/h
2Find distance if speed = 45 km/h and time = 2 hours.
90 km
3Find time if distance = 150 km and speed = 50 km/h.
3 hours
4A cyclist covers 100 km at 20 km/h then 60 km at 30 km/h. Find average speed.
Total dist 160, total time 7h → 22.86 km/h
5Two trains move toward each other at 40 and 50 km/h; find relative speed.
90 km/h
📄 Speed, Distance & Time — Downloadable Worksheet
10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.