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. 1

    The basic formula: Distance = Speed × Time. Rearrange to find any unknown.

  2. 2

    Speed = Distance / Time. Time = Distance / Speed.

  3. 3

    Convert units: km/h to m/s → multiply by 5/18. m/s to km/h → multiply by 18/5.

  4. 4

    For average speed: Average speed = Total distance / Total time (not the average of two speeds).

  5. 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

  • Averaging two speeds instead of using total distance / total time.

  • Not converting units — mixing km/h with m/s.

  • Forgetting that when two objects move towards each other, relative speed = sum of speeds.

  • 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.

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