Delhi TET (Teacher Eligibility) /Quantitative Aptitude

Time-speed-distance

Speed & Geometry · free study notes

Time‑Speed‑Distance (TSD) – Delhi TET Quantitative Aptitude

(Easy, beginner‑friendly notes for quick revision)


1. The Everyday Idea

  • Speed – how fast you go.
    Analogy: How many miles you cover in one hour driving a car.
  • Distance – how far you travel.
    Analogy: The stretch of road between your home and the grocery store.
  • Time – how long it takes.
    Analogy: Minutes it takes to walk from the bus stop to the school.

If you know any two of these, you can find the third.


2. Simple Formulas

What you want Formula (plain words) Example numbers
Distance Speed × Time 30 km/h × 2 h = 60 km
Speed Distance ÷ Time 60 km ÷ 2 h = 30 km/h
Time Distance ÷ Speed 60 km ÷ 30 km/h = 2 h

Keep units the same (km with km/h, minutes with km/min, etc.).


3. Step‑by‑Step Solving

  1. Read the question carefully – find the two known values.
  2. Choose the right formula – decide which one gives the missing value.
  3. Insert the numbers – watch the units.
  4. Do the arithmetic – remember division is the same as “÷”.
  5. Check the answer – does it make sense? (e.g., time can’t be negative).

4. Tiny Example

Problem
A train travels 120 km in 3 hours.
What is its speed?

Solution

  1. Known: Distance = 120 km, Time = 3 h.
  2. Missing: Speed.
  3. Formula: Speed = Distance ÷ Time.
  4. Compute: 120 ÷ 3 = 40 km/h.
  5. Check: 40 km/h × 3 h = 120 km ✔️

5. Quick Practice Problems

# Question Answer How to get it
1 A bike covers 15 km in 1 h 30 min. Speed? 10 km/h Convert 1 h 30 min = 1.5 h → 15 ÷ 1.5
2 A car travels at 50 km/h. Distance in 2 h? 100 km 50 × 2
3 A bus needs 4 h to reach the city 200 km away. Speed? 50 km/h 200 ÷ 4

6. Tips for Delhi TET

  • Keep a small table of the three formulas for quick reference.
  • Always write units to avoid unit‑mix mistakes.
  • Round only at the end – keep intermediate numbers exact.
  • Think of the problem as a story – it helps to decide which formula to use.

7. Summary

  • Speed = distance ÷ time
  • Distance = speed × time
  • Time = distance ÷ speed

Use the two known values, pick the right formula, plug in, and get the answer. Simple, fast, and fool‑proof for the TET exam. Happy studying!

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