Short Trick To Solve Problem on Stoppages

Duration: 9 min

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Inside: a video lesson and guided study material.

Module outline

  1. English Comprehension/Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Vocabulary, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Subject Verb Agreement (Verb Noun Agreement), Tenses, Verb, Articles, Preposition, Conjunction, Pronoun, Noun, Adjectives, Adverb, Modals, Cloze Test (Cloze Passage), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  2. Logical Ability: Coding Decoding, Directions (Direction Test), Analogy, Inequality, Data Sufficiency, Series (Number and Letter Series) (Numerical Relations and Reasoning), Syllogisms, Seating Arrangements, Puzzle Solving (Puzzles), Blood Relations, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Ranking, Order and Sequence, Logical Sequence Of Words, Data Arrangement, Venn Diagram, Calendar, Clock
  3. Quantitative Ability: Logarithm, Permutation and Combination, Probability, Profit and Loss, Speed Time and Distance, Mixture and Alligation, Partnership, Simple Interest and Compound Interest, Percentage, Ratio and Proportion (Ratios), Average, Time and Work, Pipe and Cistern, Number System, Divisibility Rules, HCF LCM, Algebra, Powers and Exponents (Surds and Indices), Mensuration and Geometry, Age Problems, Data Interpretation, Sequence and Series (Series)
  4. Basic Analytical Ability: Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Cubes & Dices, Selection Decision Table (Decision Making)
  5. Computer Programming: Pseudo Codes, Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  6. DBMS (Computer Science): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Transaction Management, Concurrency Control, Database Security & Authorization
  7. SQL (Computer Science): SQL
  8. OS (Computer Science): Introduction to OS, Process Management, CPU Scheduling, Deadlock, Process Synchronization, Threads & Process Creation, Memory Management, Virtual Memory, File Management
  9. Computer Networks (Computer Science): 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, Hardware basics, Network Security
  10. Data Structures (Computer Science): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. OOPs (Computer Science): Object Oriented Programming (OOPS)
  12. Software Engineering (Computer Science): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. SVAR Conversational - Spoken English: Communication Assessment
  14. HR Interview: MR & HR Interview Preparation
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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