Short Trick To Solve Problem on Stoppages

Duration: 9 min

This video lesson is available to enrolled students.

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Inside: a video lesson and guided study material.

Module outline

  1. About the course: About the Course
  2. Mathematical Aptitude: संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Divisibility Rules, प्रतिशत / Percentage, अनुपात और समानुपात / Ratio and Proportion, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय, चाल और दूरी / Time, Speed and Distance, Age Problems, मिश्रण और एलिगेशन / Mixture and Alligation, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Pipe and Cistern, Trigonometry, Statistics, आँकड़ा निर्वचन / Data Interpretation, Arithmetic, 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. Logical Reasoning: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, सादृश्यता एवं वर्गीकरण / Analogy and Classification, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, क्रम एवं रैंकिंग / Order and Ranking, अशाब्दिक तर्क / Non-Verbal Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, Syllogisms, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Analytical Reasoning (Counting Figures Reasoning), घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, कैलेंडर एवं घड़ी / Calendar and Clock, Clock
  4. General Knowledge: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Chemistry, Biology, History, Geography, Polity, Indian Economy, समसामयिकी / Current Affairs, Static General Knowledge
  5. Art of Teaching: शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, आकलन एवं मूल्यांकन / Assessment and Evaluation, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development, शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन / Educational Policies, Acts and Administration, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, निर्देशन एवं परामर्श / Guidance and Counselling, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, Micro-Teaching & Teaching Skills, पाठ योजना / Lesson Planning
  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, कंप्यूटर नेटवर्क / Computer Networks
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate, is a focused lecture on solving "Problems on Trains," specifically targeting the calculation of stoppage time. The lesson is structured to build understanding from basic concepts to formulaic application. It begins by introducing the concept of average speed with and without stoppages using the Himsagar Express as a primary case study. The instructor systematically breaks down the problem, explaining that the difference in speed represents the distance lost due to stoppages. He demonstrates two methods: a conceptual approach based on distance lost per hour and a direct formulaic approach. The lecture concludes with a second example involving a flight to reinforce the formulaic approach and ensure comprehensive understanding of the topic. The video is designed for students preparing for competitive exams, providing clear, step-by-step solutions.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card "Problem on Trains" featuring a sketch of a steam locomotive. The instructor introduces the specific topic "Problem on Stoppages" with a slide showing passengers boarding a train against a pink background. He presents the first problem statement clearly on screen: "Without stoppage, Himsagar Express travels at an average speed of 75 kmph and with stoppages it covers the same distance at an average speed of 60 kmph. How many minutes per hour does Himsagar Express stop?" He adds context about the train's route from Kashmir to Kanyakumari, noting the total travel time of 71 hours and 10 minutes. A copyright notice for "Knowledge Gate Eduventures" is visible at the bottom of the screen.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins the solution on a digital whiteboard with a yellow background. He writes "1 hr -> 75 km" and "1 hr -> 60 km" to represent the speeds without and with stoppages respectively. He calculates the difference as 15 km, explaining this is the distance the train fails to cover in one hour due to stoppages. He then sets up a proportion to find the time: if 75 km takes 60 minutes, then 15 km takes X minutes. He calculates (15/75) * 60, resulting in 12 minutes. He also writes the formula: (Speed_without - Speed_with) / Speed_without * 60, showing the calculation (15/75) * 60 = 12. He simplifies the fraction 15/75 to 1/5 and multiplies by 60. He explicitly states that the answer is 12 minutes per hour.

  3. 5:00 – 9:23 05:00-09:23

    A new problem appears on screen: "A flight from Srinagar to Trivandrum has an average speed of 400 km/hr without any stoppage. The average speed decreases to 320 km/hr when there are stoppages. Find the stoppage time per hour of the flight." The instructor applies the same logic, calculating the difference of 80 km. He uses the formula (80/400) * 60 to find the stoppage time. He confirms the answer is 12 minutes. The video concludes with a "Thanks for watching" screen on a dark purple background.

The lecture provides a clear, step-by-step methodology for solving stoppage time problems, effectively bridging the gap between conceptual understanding and mathematical application. It starts with a detailed conceptual explanation using the Himsagar Express, where the instructor visually demonstrates that the difference in speed (15 kmph) corresponds to the distance lost in one hour. By converting this distance into time using the original speed, he derives the stoppage duration. This conceptual foundation is then formalized into a general formula: (Difference in Speed / Speed without Stoppage) * 60. The second example with the flight serves as a practical application of this formula, ensuring students can apply the concept to different scenarios. The consistent use of visual aids, such as the yellow background and red text for calculations, along with the instructor's clear verbal explanations, makes the complex topic of relative speed and stoppages accessible and easy to revise for exams. The instructor emphasizes that the stoppage time is always calculated per hour, which is a crucial detail for exam questions. The video is designed for students preparing for competitive exams, providing clear, step-by-step solutions.

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