Short Trick To Solve Problem on Stoppages
Duration: 9 min
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Inside: a video lesson and guided study material.
Module outline
- Quantitative Ability: Percentage, Profit and Loss, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Simple Interest and Compound Interest, Age Problems, Number System, Divisibility Rules, HCF LCM, Algebra, Permutation and Combination, Probability, Data Interpretation, Logarithm, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Speed Mathematics and Basic Mathematics
- Logical Reasoning: Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Data Sufficiency, Venn Diagram, Inequality, Series (Number and Letter Series) (Numerical Relations and Reasoning), Logical Sequence Of Words, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
- Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Subject Verb Agreement (Verb Noun Agreement), Tenses, Articles, Preposition, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Vocabulary, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Completion (Fill in the blanks), Sentence Correction (Error Correction), Cloze Test (Cloze Passage), Facts, Inference and Judgements
- Programming Fundamentals (Technical): C Fundamentals
- Data Structures (Technical): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
- Algorithms (Technical): Algorithm Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Time Complexity Analysis, Advanced Algorithms
- OOPs (Technical): Object Oriented Programming (OOPS)
- DBMS (Technical): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
- SQL (Technical): SQL
- Operating Systems (Technical): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
- Computer Networks (Technical): 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, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
- Software Engineering (Technical): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
- Coding/Automata Round: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir, Pseudo Codes
- Personality / Behavioral Assessment: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
- Writing Assessment: English Writing Ability
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
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.
2:00 – 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.
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.