.Quantitative Aptitude – Train Problems Practice Material (Formulas, Examples & Exercises)

TRAIN PROBLEMS PRACTICE MATERIAL
SECTION 1: FORMULAS & CONCEPTS
1. Speed = Distance ÷ Time

2. Convert km/hr to m/s: Multiply by (5/18)

3. Convert m/s to km/hr: Multiply by (18/5)

4. Relative Speed:

- Same direction: Subtract speeds

- Opposite direction: Add speeds

5. Scenarios:

- Train crosses a pole: Distance = Train's length

- Train crosses a platform: Distance = Train + Platform lengths

- Train crosses a person/jogger: Use relative speed

- Two trains cross each other: Use relative speed and total lengths


SECTION 2: GUIDED EXAMPLES (STUDENT FILL-IN)

Example 1
A train 150 m long passes a pole in 15 seconds. What is its speed in km/hr?

Step 1: Speed = Distance ÷ Time = ____ ÷ ____ = ____ m/s

Step 2: Convert to km/hr: ____ × (18/5) = ____ km/hr

Answer: ________

Example 2
A 300 m long train passes a platform 200 m long in 25 seconds. What is the speed of the
train?

Step 1: Total distance = ____ + ____ = ____ m

Step 2: Speed = Distance ÷ Time = ____ ÷ ____ = ____ m/s

Step 3: Convert to km/hr = ____ × (18/5) = ____ km/hr