Case 4_ Two Trains Crossing One Other (Same Direction)

Duration: 13 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 provides a comprehensive tutorial on solving "Train Problems," specifically focusing on "Case 4: Two Trains Moving In Same Direction." Presented by Yash Jain from Knowledge Gate Eduventures, the lecture begins by establishing the fundamental concepts of relative speed and total distance required for trains to cross each other. The instructor systematically works through three distinct numerical examples, demonstrating the step-by-step application of formulas, unit conversions between kilometers per hour and meters per second, and algebraic manipulation to find unknown variables such as time, length, and speed. The visual aids include on-screen text of the problems, handwritten calculations on a digital whiteboard, and diagrams illustrating train movements. The lesson is structured to take students from basic understanding to advanced problem-solving techniques, ensuring clarity in each step of the mathematical process.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an introductory title card reading "PROBLEM ON TRAINS" and "Basic To Advance" by Yash Jain. It transitions to a slide titled "Case 4: Two Trains Moving In Same Direction," decorated with rocket and planet icons. The instructor explains the concept of relative speed when two objects move in the same direction, drawing arrows to indicate direction and writing "diff" to signify that the relative speed is the difference between the two speeds. He introduces the basic formula S = d/t (Speed = Distance / Time) as the foundation for solving these problems. He emphasizes that for trains moving in the same direction, the relative speed is calculated by subtracting the slower speed from the faster speed, a key distinction from opposite direction problems.

  2. 2:00 – 5:00 02:00-05:00

    The first numerical problem is introduced: "Two trains Bangalore Rajdhani (length 80 meters) and Gondwana Express (length 100 meters) are moving on parallel tracks in the same direction with speeds 90 kmph and 60 kmph. Find the time (in seconds) in which Bangalore Rajdhani will cross Gondwana Express completely." The instructor underlines the key values and calculates the relative speed as 90 - 60 = 30 kmph. He converts this to meters per second using the factor 5/18, resulting in 25/3 m/s. He then calculates the total distance as the sum of lengths (80 + 100 = 180 meters). Finally, he applies the formula t = d/s to find the time, resulting in 21.6 seconds. He writes out the calculation t = 180 / (25/3) = 180 x 3 / 25 = 108/5 = 21.6 sec on the board, showing the intermediate steps clearly.

  3. 5:00 – 10:00 05:00-10:00

    The second problem involves "Patalkot Express and Shreedham Express" moving in the same direction with speeds of 72 km/hr and 54 km/hr. They cross each other in 20 seconds, and the length of the faster train is 40 meters. The goal is to find the length of the slower train. The instructor converts the speeds to m/s (20 m/s and 15 m/s) and determines the relative speed is 5 m/s. He sets up the equation 5 = (40 + x) / 20, where x is the unknown length. Solving this, he finds the length of the slower train to be 60 meters. He writes the conversion steps clearly on the board, showing 72 x 5/18 = 20 and 54 x 5/18 = 15. An image of a train station sign reading "Shree Dham Jabalpur" is visible, adding context to the problem.

  4. 10:00 – 13:03 10:00-13:03

    The final problem features "Kaleen Express and Guddu Express" with lengths of 65 meters and 105 meters respectively. They cross each other in 51/2 seconds, and the speed of Kaleen Express is 84 kmph. The task is to find the speed of Guddu Express. The instructor calculates the total distance (170 meters) and the relative speed in m/s (20/3 m/s). He converts this relative speed to kmph (24 kmph). Using the relationship |84 - S2| = 24, he solves for the speed of Guddu Express, determining it to be 60 kmph. He writes the conversion from m/s to kmph as multiplying by 18/5. The instructor circles the final answer of 60 kmph to highlight the solution.

The video effectively guides students through the logic of relative motion for trains moving in the same direction. By breaking down the process into identifying given values, calculating relative speed (difference of speeds), summing the lengths for total distance, and applying the time-speed-distance formula, the instructor provides a clear methodology. The progression from finding time to finding length and finally finding speed demonstrates the versatility of the core concepts. The consistent use of unit conversion (5/18 factor) is emphasized as a critical step for accuracy in these problems. The instructor's handwritten notes on the digital whiteboard serve as a visual guide for students to follow along with the calculations, ensuring they understand the derivation of each result.

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