How to Solve Speed, Distance and Time — Step by Step Guide
Solve problems using the formula Distance = Speed × Time. This guide covers Class 7 to 8.
Step-by-Step Method
- 1
The basic formula: Distance = Speed × Time. Rearrange to find any unknown.
- 2
Speed = Distance / Time. Time = Distance / Speed.
- 3
Convert units: km/h to m/s → multiply by 5/18. m/s to km/h → multiply by 18/5.
- 4
For average speed: Average speed = Total distance / Total time (not the average of two speeds).
- 5
For relative speed: same direction → subtract speeds; opposite direction → add speeds.
Worked Example
Problem: A car travels 120 km in 2 hours. Find its speed in m/s.
Solution: Speed = 120/2 = 60 km/h. In m/s: 60 × 5/18 = 300/18 = 16.67 m/s.
Common Mistakes to Avoid
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Averaging two speeds instead of using total distance / total time.
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Not converting units — mixing km/h with m/s.
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Forgetting that when two objects move towards each other, relative speed = sum of speeds.
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Not drawing a timeline or distance diagram for complex problems.
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Frequently Asked Questions
- How do I solve Speed, Distance and Time problems?
- The basic formula: Distance = Speed × Time. Rearrange to find any unknown. Speed = Distance / Time. Time = Distance / Speed.
- What are common mistakes in Speed, Distance and Time?
- Averaging two speeds instead of using total distance / total time. Not converting units — mixing km/h with m/s.
- Which class covers Speed, Distance and Time?
- Speed, Distance and Time is typically taught in Class 7, 8. SparkEd has free practice for all these grades.
- Where can I practise Speed, Distance and Time for free?
- SparkEd offers free chapter-wise practice for Speed, Distance and Time aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.
SparkEd Maths — sparked.coms@gmail.com — www.sparkedmaths.com