Case 2_ Train Crossing a Platform, Bridge or Tunnel

Duration: 16 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, प्रतिशत / Percentage, औसत / Average, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, Statistics, Probability, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, समय और कार्य / Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  3. Paper-1 & 2 | Data Interpretation: आँकड़ा निर्वचन / Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Data Arrangement, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making
  7. Paper-1 | General Science: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, समसामयिकी / Current Affairs
  9. Paper-2 | Fundamentals of Computer: Basics of COA, Number System, Floating Point Rep, Number Representation
  10. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits
  11. Paper-2 | Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Linux OS, Distributed Systems
  12. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  13. Paper-2 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  14. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  15. Paper 2 | Oops, C++, Java: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  16. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  17. Paper 2 | Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, कंप्यूटर नेटवर्क / Computer Networks
  18. Paper-2 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Advanced Algorithms
  19. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Ethical Hacking
  20. Paper-2 I Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  21. Paper-2 | Computer Organization and Architecture: Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations
  22. Paper-2 | Web Development: JavaScript-Basics, HTML Basics, CSS, XML
  23. Pedagogy: वृद्धि और विकास / Growth and Development, Concept of Pedagogy, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, विकास के सिद्धांत / Theories of Development, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  24. Live Sessions: RSSB Live Sessions
  25. RSSB Paper 1 - Full Mock Tests:
  26. RSSB Paper 2 - Full Mock Tests:
  27. SCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video offers a comprehensive lecture on "Train Problems," specifically addressing Case 2: Train Crossing a Bridge, Platform, or Tunnel. The instructor, Yash Jain, introduces the topic with title cards and a slide featuring rocket and planet icons. He explains that the total distance covered when a train crosses a fixed object is the sum of the train's length and the object's length. The lesson relies on the fundamental speed formula S = d/t. Through a series of five distinct examples involving real Indian trains like the Vivek Express, Bhopal Shatabdi, and Chennai Express, the instructor demonstrates how to apply these concepts. Key skills covered include converting speed from km/hr to m/s and solving for unknown variables such as time, length, or speed. The visual presentation includes slides with train images, handwritten equations on a yellow background, and text highlighting key problem parameters. The instructor's face is consistently visible in the bottom left corner, guiding the viewer through each step.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with an introductory sequence featuring the title "PROBLEM ON TRAINS" and a slide by Yash Jain labeled "TRAIN PROBLEMS? Basic To Advance". The main topic is introduced as "Case 2: Train Crossing a Bridge or a Platform or a Tunnel". The instructor explains the concept using a slide with a rocket icon and a picture of a train on a bridge. He emphasizes that the distance covered is the sum of the train's length and the bridge's length. He writes the formula S = d/t on the screen to establish the mathematical basis for the problems. The instructor's face is visible in the bottom left corner throughout the lecture. The slide background is pink with white stars and hearts.

  2. 2:00 – 5:00 02:00-05:00

    The first example problem is introduced: "Vivek Express is travelling with a speed of 54 km/hr. It is 80 meters long and crosses a bridge of length 120 meters. Find the time taken by it to cross the bridge (in seconds)". The instructor underlines the key values on the screen. He converts the speed from km/hr to m/s by multiplying by 5/18, resulting in 15 m/s. He writes the equation 15 = (80 + 120) / t and solves for t, demonstrating the calculation process clearly on the yellow background. The text "Vivek Express" is highlighted in blue. The slide includes a picture of the Vivek Express train at a station.

  3. 5:00 – 10:00 05:00-10:00

    The second example is "Bhopal Shatabdi Express (length 150 meters) crosses Mathura Junction (110 meters long) with a speed of 90 km/hr. Find the time taken to cross the platform (in seconds)". The instructor underlines the speed and lengths. He converts 90 km/hr to 25 m/s. He calculates the total distance as 150 + 110 = 260 meters. He then divides the total distance by the speed to find the time, writing the final calculation on the screen. An image of the Mathura Junction platform is shown with the text "Mathura Jn" visible on a yellow sign. The slide background is yellow with white stars.

  4. 10:00 – 15:00 10:00-15:00

    The third problem involves the "Chattisgarh Express (length 110 meters) running with a speed of 36 km/hr. It takes 24.2 seconds to cross a tunnel near Gwalior Railway Station. Find the length of the tunnel (in meters)". The instructor converts the speed to 10 m/s. He sets up the equation 10 = (110 + l) / 24.2, where l is the tunnel length. He multiplies 24.2 by 10 to get 242, then subtracts 110 to find the tunnel length is 132 meters. An image of a train entering a tunnel is displayed with the text "Gwalior Railway Station". The slide background is yellow with white stars.

  5. 15:00 – 16:15 15:00-16:15

    The final section covers two problems. First, "Hemkunt Express is travelling at a speed of 72 kmph. It crosses Kala Bakra Station's platform of length 220 meters in 15 seconds. Find the length of Hemkunt Express." Second, "Chennai Express (110 meters) long crosses a Pamban Bridge of length 132 meters in 24.2 seconds. Find the speed of Chennai Express in kmph". The instructor solves these by converting units and rearranging the distance formula to find the unknown variable. An image of the Pamban Bridge is shown with text about a train accident. The video concludes with a "THANKS FOR WATCHING" slide. The slide background is yellow with white stars.

The video follows a structured pedagogical approach, moving from theoretical definition to practical application. It establishes the core formula S = d/t and the specific distance rule for bridges/platforms. The examples are sequenced to cover different unknowns: first finding time, then finding length, and finally finding speed. This progression ensures students understand how to manipulate the formula for various scenarios. The consistent use of unit conversion reinforces a critical skill for these problems. The inclusion of real-world train names and locations adds context and engagement to the mathematical concepts. The instructor's clear handwriting and step-by-step calculations make the complex problems accessible to students.

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