Time‑Speed‑Distance – Quick & Easy Study Notes
(For Jharkhand TET – Quantitative Aptitude)
1. What Is It?
- Time = how long something moves.
- Speed = how fast it moves (distance covered per unit time).
- Distance = how far it travels.
Think of a car on a road:
- Speed is the car’s “mph” or “km/h” (how many miles/kilometers it covers each hour).
- Time is how many hours you drive.
- Distance is the total miles/kilometers you cover.
2. Simple Relations (No Jargon)
| What you know | What you want | Easy formula |
|---|---|---|
| Speed & Time | Distance | Distance = Speed × Time |
| Speed & Distance | Time | Time = Distance ÷ Speed |
| Distance & Time | Speed | Speed = Distance ÷ Time |
Note: If you use kilometres and hours, speed will be in km/h.
3. Everyday Analogies
| Concept | Analogy |
|---|---|
| Speed | How many cups of coffee you can drink in an hour. |
| Time | The number of minutes you watch a movie. |
| Distance | Number of steps you take to walk from your room to the kitchen. |
4. Tiny Example
Question: A bicycle travels 30 km in 2 hours.
Find: Its average speed.
Step 1: Identify known values
- Distance = 30 km
- Time = 2 hours
Step 2: Use the formula
Speed = Distance ÷ Time
Speed = 30 km ÷ 2 h = 15 km/h
Answer: The bicycle’s speed is 15 km/h.
5. Quick Practice Problems
- A train covers 120 km in 4 hours. What is its speed?
- A runner jogs 8 km in 1.5 hours. Find the time needed to run 12 km at the same speed.
- A car travels 200 km in 5 hours. How far will it go in 3 hours at that speed?
(Solutions next to each problem)
| # | Problem | Solution |
|---|---|---|
| 1 | Speed = 120 ÷ 4 = 30 km/h | |
| 2 | Speed = 8 ÷ 1.5 = 5.33 km/h | |
| Time = 12 ÷ 5.33 ≈ 2.25 h (2 h 15 min) | ||
| 3 | Distance = 30 × 3 = 90 km |
6. Tips for the Exam
- Read the question carefully – it usually tells you which two values you have.
- Write the formula first – it guarantees you will use the right relation.
- Keep units consistent – if distance is in km and time in hours, speed will be km/h.
- Quick mental math – many questions use round numbers that make division easy.
- Check your answer – if speed looks too high or too low, double‑check the units.
7. Summary
- Speed = how fast (distance ÷ time).
- Distance = how far (speed × time).
- Time = how long (distance ÷ speed).
Use the simple formulas, stay consistent with units, and practice a few quick problems. You’ll master Time‑Speed‑Distance in no time!