Time Speed Distance
Time, Speed and Distance is a core aptitude topic used to solve problems related to motion, trains, boats, and relative speed. It is one of the most frequently asked topics in competitive exams.
Fundamental Principles
Speed
Distance covered per unit time. Speed = Distance / Time.
Time
Time taken to travel a certain distance. Time = Distance / Speed.
Distance
Distance covered = Speed × Time.
Relative Speed
When two objects move, their effective speed is called relative speed (sum or difference depending on direction).
Essential Formulation Tips
- Always convert units (km/hr ↔ m/s).
- Use relative speed for trains and opposite directions.
- Distance = Speed × Time is the base formula.
- Use ratio method to avoid long calculations.
Shortcut Execution Techniques
- Conversion: 1 km/hr = 5/18 m/s.
- Opposite direction: add speeds.
- Same direction: subtract speeds.
- Average speed = (2xy)/(x+y) for equal distances.
Contextual Inquiries (FAQs)
Q: What is the most important formula in TSD?
A:
Q: How to solve train problems quickly?
A:
Example Breakdown: Basic Formula Example
Basic concept.Distance = Speed × Time.
Distance = 60 × 2 = 120 km.
Final Answer: 120 km.
Example Breakdown: Relative Speed Example
Very common exam pattern.Opposite direction → add speeds.
Relative speed = 40 + 60 = 100 km/hr.
Final Answer: 100 km/hr.
Example Breakdown: Train Problem Example
Important train question.Speed = Distance / Time.
Distance = 100 m.
Time = 10 sec.
Speed = 100/10 = 10 m/s.
Convert to km/hr = 10 × 18/5 = 36 km/hr.
Final Answer: 36 km/hr.
Time Speed Distance Practice Questions
Solve important TSD questions for banking, SSC, CMAT, and placement exams.
Q1. A man travels 150 km in 3 hours. Find speed.
Q2. Two cars move in same direction at 60 km/hr and 40 km/hr. Find relative speed.
Q3. Convert 72 km/hr into m/s.