Speed, Time and Distance
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Cheat Sheets
Study MaterialSpeed, Time and Distance Cheat Sheet
Speed, Time and Distance is one of the most important and high-scoring topics in Quantitative Aptitude and is frequently asked in SSC, Banking, Railway, UPSC, Defence, Insurance, CAT, and other competitive examinations.
This cheat sheet helps candidates understand speed-distance-time relationships, average speed concepts, train problems, boats and streams, races, circular tracks, and shortcut techniques for solving motion-based problems quickly and accurately in exams.
About This Cheat Sheet
Complete guide to Speed, Time and Distance for competitive exams:
Basic Concepts
- Distance = Speed × Time
- Speed Formula
- Time Formula
- Unit Conversion Basics
Speed Conversion
- km/h to m/s
- m/s to km/h
- Multiply by 5/18
- Multiply by 18/5
Average Speed
- Total Distance ÷ Total Time
- Equal Distance Formula
- Harmonic Mean
- Partial Journey Problems
Relative Speed
Same direction and opposite direction speed concepts for moving objects.
Train Problems
- Crossing Pole
- Crossing Platform
- Crossing Another Train
- Relative Train Speed
Boats & Streams
- Upstream Speed
- Downstream Speed
- Boat Speed in Still Water
- Stream Speed Problems
Races & Circular Tracks
- Beat by Distance
- Beat by Time
- Meeting Point Problems
- Laps & Circular Motion
Shortcut Tricks
Fast solving methods, ratio shortcuts, and exam-oriented speed calculation tricks.
Topics Covered
| Topic | Description |
|---|---|
| Basic Formula | Distance = Speed × Time relationship |
| Speed Conversion | Conversion between km/h and m/s |
| Average Speed | Total distance divided by total time |
| Equal Distance Formula | 2ab/(a+b) harmonic mean concept |
| Relative Speed | Speed comparison in same/opposite directions |
| Train Problems | Crossing poles, platforms, and trains |
| Boats & Streams | Upstream and downstream motion problems |
| Race Problems | Winning by distance or time concepts |
| Circular Track Problems | Meeting points and lap calculations |
| Partial Journey | Different speeds in different journey parts |
| Constant Distance Concept | Speed inversely proportional to time |
| Relative Motion | Movement of two objects together |
| Motion Ratios | Ratio-based speed and distance calculations |
| Shortcut Tricks | Fast solving methods for exams |
Why This Cheat Sheet is Important
Understand Motion Concepts
↓
Improve Calculation Speed
↓
Apply Shortcut Techniques
↓
Solve Real-life Problems Faster
↓
Score Better in Exams
Competitive Exams Covered
- SSC CGL
- SSC CHSL
- Bank PO & Clerk
- Railway Exams
- UPSC CSAT
- Defence Exams
- Insurance Exams
- State Government Exams
- MBA Entrance Exams
Quick Example
Example:
A train 180 meters long is moving at 54 km/h. How much time will it take to cross a pole?
Convert speed into m/s:
54 × (5/18) = 15 m/s
Distance to cross pole = Length of train = 180 m
Time = Distance ÷ Speed
= 180 ÷ 15
= 12 seconds
Answer = 12 seconds
Final Takeaway
This Speed, Time and Distance Cheat Sheet provides complete revision material for all major concepts frequently asked in competitive examinations. Regular practice of relative speed, train problems, boats and streams, race concepts, and shortcut techniques can significantly improve speed, accuracy, and analytical problem-solving ability.
It is highly useful for quick revision before exams and helps candidates strengthen the foundation of Quantitative Aptitude.
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