Case 2_ Train Crossing a Platform, Bridge or Tunnel

Duration: 16 min

This video lesson is available to enrolled students.

Return to /learn/BPSC/part-2-primary-maths/speed-time-and-distance/train-problems/asset-case-2-train-crossing-a-platform-bridge-or-tunnel after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Section 1 | Language (Hindi): भाषा, लिपि, ध्वनि, वर्ण, अक्षर, स्वर, व्यंजन, मात्रा और संयुक्ताक्षर, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, मुहावरे और लोकोक्तियाँ, अपठित गद्यांश और अपठित पद्यांश, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): Spelling & Diacritics, Grammar (اسم, فعل, صفت, ضمیر), Vocabulary, Idioms & Proverbs, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): শব্দার্থ, বাগধারা ও ভাষাশুদ্ধি / Meaning, Idioms and Correct Usage, বাক্য ও বাচ্য / Sentences and Voice, শব্দগঠন ও শব্দভান্ডার / Word Formation and Vocabulary, অনুবাদ, বোধপরীক্ষণ ও রচনা / Translation, Comprehension and Composition
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Pronoun, Verb, Adverb, Preposition, Articles, Determiner, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Mensuration and Geometry, Age Problems, Arithmetic, Powers and Exponents (Surds and Indices), Algebra, Probability, Trigonometry, Syllogisms, Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, Number System & Place Value, Factors, Multiples, Divisibility, HCF & LCM, Coordinates & Graphs, Higher Mathematics — Trigonometry, Quadratics, Polynomials, Progressions, Statistics, Logarithms
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, Physics, Biology, State Wise GK, Chemistry, History, Geography, Indian Economy, Environment, GK- Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: 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, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): Artificial Intelligence, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications, Marketing and Consumer Studies, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, कंप्यूटर नेटवर्क / Computer Networks, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), Terms & Abbreviations, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References, OOPS with Java
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
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.

Loading lesson…