Important Practice Questions on SPEED TIME & DISTANCE 2

Duration: 1 hr 14 min

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Module outline

  1. About Course: About the Course
  2. CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures: Digital Systems & Boolean Basics, Number System, Number Representation, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Permutation and Combination / क्रमचय और संचय
  3. CS | 02 | Computer Organization and Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Multiprocessors
  4. CS | 03 | Data Structures and Algorithm: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Complexity Theory, Advanced Algorithms
  5. CS | 04 | Problem Solving through C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. CS | 05 | Object Oriented Techniques: Object Oriented Technology, Java
  7. CS | 06 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Unix OS
  8. CS | 07 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Query Processing & Optimization, File Organization & Indexing
  9. CS | 08 | 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, Hardware basics
  10. CS | 09 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  11. CS | 10 | Internet Technology, Web Design and Web Technology: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. CS | 11 | System Analysis And Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance
  13. CS | 12 | Information Security and Cyber Laws: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  14. CS | 13 | Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing
  15. GS Paper | 01 | Indian and World Geography / भारत एवं विश्व का भूगोल: भारत का भौतिक पर्यावरण / India: Physical Environment, Computer Hardware, Geography as a Discipline and Geographical Thought / भूगोल: एक विषय एवं भौगोलिक चिंतन, पृथ्वी: उत्पत्ति, आंतरिक संरचना एवं विवर्तनिकी / The Earth: Origin, Interior and Tectonics, Geomorphic Processes and Landforms / भू-आकृतिक प्रक्रियाएँ एवं स्थलरूप, Atmosphere and Climate / वायुमंडल एवं जलवायु, Hydrosphere: Oceans / जलमंडल: महासागर, जैवमंडल, मृदा एवं पर्यावरण / Biosphere, Soils and Environment, Natural Hazards and Disasters / प्राकृतिक संकट एवं आपदाएँ, Human Settlements / मानव बस्तियाँ, संसाधन, कृषि, खनिज एवं ऊर्जा / Resources, Agriculture, Minerals and Energy, Industries, Services, Transport and Trade / उद्योग, सेवाएँ, परिवहन एवं व्यापार, प्रादेशिक एवं राजनीतिक भूगोल / Regional and Political Geography, Maps, Remote Sensing and Geographical Techniques / मानचित्र, सुदूर संवेदन एवं भौगोलिक तकनीकें, Fruit Science and Orchard Management / फल विज्ञान एवं बाग प्रबंधन, Vegetables and Specialty Crops / सब्जी एवं विशिष्ट फसलें, Indian Mural Painting / भारतीय भित्ति चित्रण, Analysis of Financial Statements / वित्तीय विवरणों का विश्लेषण, Computer Fundamentals
  16. GS Paper | 02 | History / इतिहास: भारतीय राष्ट्रीय आंदोलन एवं स्वतंत्र भारत / Indian National Movement and Independent India, Education of Children with Disabilities / दिव्यांग बच्चों की शिक्षा, भक्तिकाल, अपठित बोध, वैदिकसाहित्यं धर्मशास्त्रं संस्कृतिश्च, Sources and Historiography / इतिहास के स्रोत एवं इतिहास-लेखन, Prehistoric Cultures and the Harappan Civilisation / प्रागैतिहासिक संस्कृतियाँ एवं हड़प्पा सभ्यता, Vedic Age and Religious Movements / वैदिक काल एवं धार्मिक आंदोलन, महाजनपद एवं मौर्य साम्राज्य / Mahajanapadas and the Mauryan Empire, Post-Mauryan and Gupta Age / मौर्योत्तर एवं गुप्त काल, Harsha and Early Medieval India / हर्ष एवं पूर्व मध्यकालीन भारत, Delhi Sultanate and the Deccan Kingdoms / दिल्ली सल्तनत एवं दक्कन के राज्य, भक्ति एवं सूफी आंदोलन / Bhakti and Sufi Movements, Mughal Empire and the Marathas / मुगल साम्राज्य एवं मराठा, European Arrival, British Expansion and 1857 / यूरोपीय आगमन, ब्रिटिश विस्तार एवं 1857, औपनिवेशिक शासन, अर्थव्यवस्था एवं समाज सुधार / Colonial Rule, Economy and Social Reform, Ancient, Medieval and Early Modern World / प्राचीन, मध्यकालीन एवं प्रारंभिक आधुनिक विश्व, Modern and Contemporary World / आधुनिक एवं समकालीन विश्व, Society, Community and Social Groups / समाज, समुदाय और सामाजिक समूह, Religion, Education, Politics and Economy / धर्म, शिक्षा, राजनीति और अर्थव्यवस्था, Social Change and Development / सामाजिक परिवर्तन और विकास, Fundamentals, Media and Techniques of Art / कला के मूल तत्व, माध्यम और तकनीक, Buddhist, Jain and Hindu Art / बौद्ध, जैन और हिन्दू कला, Indian Architecture, Temple Sculpture and Bronzes / भारतीय स्थापत्य, मंदिर मूर्तिकला और कांस्य, Indian Miniature Painting Schools / भारतीय लघुचित्र शैलियाँ, Folk Art and Crafts / लोक कला और हस्तशिल्प, World Art: Prehistory to Romanticism / विश्व कला: प्रागैतिहासिक से स्वच्छन्दतावाद तक, Modern Western Art / आधुनिक पाश्चात्य कला, Printmaking / छापा कला, Charvaka, Jaina and Buddhist Philosophy / चार्वाक, जैन एवं बौद्ध दर्शन, Samkhya-Yoga Philosophy / सांख्य-योग दर्शन, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Non-Verbal Reasoning / अशाब्दिक तर्क, भारतीय संविधान / Indian Constitution
  17. GS Paper | 03 | Indian Economy & Social Development / भारतीय अर्थव्यवस्था एवं सामाजिक विकास: भारतीय अर्थव्यवस्था / Indian Economy, जनसंख्या, मानव विकास एवं सांस्कृतिक भूगोल / Population, Human Development and Cultural Geography, Consumer Behaviour and Demand / उपभोक्ता व्यवहार एवं माँग, National Income Accounting / राष्ट्रीय आय लेखांकन, मुद्रा एवं बैंकिंग / Money and Banking, Determination of Income and Employment / आय एवं रोज़गार का निर्धारण, Inflation and Monetary Policy / मुद्रास्फीति एवं मौद्रिक नीति, Public Finance and Government Budget / लोक वित्त एवं सरकारी बजट, Agronomy and Farming Systems / शस्य विज्ञान एवं कृषि प्रणालियाँ, Agrometeorology / कृषि मौसम विज्ञान, Irrigation and Agricultural Engineering / सिंचाई एवं कृषि अभियांत्रिकी, Business Finance, Banking and Financial Markets / व्यावसायिक वित्त, बैंकिंग एवं वित्तीय बाज़ार, Food, Nutrition & Components of Food / भोजन, पोषण और भोजन के घटक
  18. GS Paper | 04 | General Science / सामान्य विज्ञान: कोशिका: संरचना एवं कार्य / Cell: Structure and Function, ऊष्मागतिकी एवं साम्यावस्था / Thermodynamics and Equilibrium, Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, द्रव्य एवं रसायन विज्ञान की मूल अवधारणाएँ / Matter and Basic Concepts of Chemistry, परमाणु संरचना एवं नाभिकीय रसायन / Structure of Atom and Nuclear Chemistry, Periodic Classification and Chemical Bonding / आवर्त वर्गीकरण एवं रासायनिक आबंधन, States of Matter and Solutions / द्रव्य की अवस्थाएँ एवं विलयन, Redox Reactions and Electrochemistry / अपचयोपचय अभिक्रियाएँ एवं वैद्युतरसायन, Chemical Kinetics and Surface Chemistry / रासायनिक बलगतिकी एवं पृष्ठ रसायन, धातुकर्म, s-ब्लॉक एवं p-ब्लॉक तत्व / Metallurgy, s-Block and p-Block Elements, d- and f-Block Elements and Coordination Compounds / d- एवं f-ब्लॉक तत्व तथा उपसहसंयोजन यौगिक, Organic Chemistry: Basic Principles and Isomerism / कार्बनिक रसायन: मूल सिद्धांत एवं समावयवता, हाइड्रोकार्बन, हैलोऐल्केन एवं हैलोऐरीन / Hydrocarbons, Haloalkanes and Haloarenes, Organic Compounds Containing Oxygen and Nitrogen / ऑक्सीजन एवं नाइट्रोजन युक्त कार्बनिक यौगिक, Biomolecules, Polymers and Everyday Chemistry / जैव-अणु, बहुलक एवं दैनिक जीवन में रसायन, Analytical Chemistry and Spectroscopy / विश्लेषणात्मक रसायन एवं स्पेक्ट्रमिकी, Measurement and Mathematical Methods / मापन और गणितीय विधियाँ, गति और गति के नियम / Motion and Laws of Motion, कार्य, ऊर्जा, शक्ति और घूर्णी गति / Work, Energy, Power and Rotational Motion, Gravitation / गुरुत्वाकर्षण, Mechanical Properties of Matter / पदार्थ के यांत्रिक गुण, Thermal and Statistical Physics / तापीय और सांख्यिकीय भौतिकी, Oscillations and Mechanical Waves / दोलन और यांत्रिक तरंगें, Electrostatics and Current Electricity / स्थिरवैद्युतिकी और धारा विद्युत, Magnetism, Induction and Alternating Current / चुम्बकत्व, प्रेरण और प्रत्यावर्ती धारा, Optics and Photonics / प्रकाशिकी और फोटोनिकी, Quantum Physics and Relativity / क्वांटम भौतिकी और आपेक्षिकता, Atoms, Nuclei and Astrophysics / परमाणु, नाभिक और खगोल भौतिकी, जीव जगत एवं जैविक वर्गीकरण / Living World and Biological Classification, Plant Physiology / पादप कार्यिकी, मानव कार्यिकी / Human Physiology, Molecular Basis of Inheritance / वंशागति का आणविक आधार, Evolution / विकास, Biology in Human Welfare / मानव कल्याण में जीव विज्ञान, Biotechnology / जैव प्रौद्योगिकी, पारिस्थितिकी एवं पर्यावरण / Ecology and Environment, Family, Marriage and Kinship / परिवार, विवाह और नातेदारी, Soil Science / मृदा विज्ञान, Plant Nutrition, Manures and Fertilizers / पादप पोषण, खाद एवं उर्वरक, Floriculture, Landscaping and Protected Cultivation / पुष्प विज्ञान, भूदृश्य एवं संरक्षित खेती, Plant Breeding and Seed Technology / पादप प्रजनन एवं बीज प्रौद्योगिकी, Plant Protection / पादप संरक्षण, Anatomy and Physiology / शरीर रचना एवं शरीर क्रिया विज्ञान, Kinesiology and Biomechanics / कायनेसियोलॉजी एवं बायोमैकेनिक्स, Sports Psychology, Growth and Sociology / खेल मनोविज्ञान, वृद्धि एवं समाजशास्त्र, Sports Training and Physical Fitness / खेल प्रशिक्षण एवं शारीरिक पुष्टि, Sports Medicine, Injuries and Rehabilitation / खेल चिकित्सा, चोटें एवं पुनर्वास, Test, Measurement and Evaluation / परीक्षण, मापन एवं मूल्यांकन, Food and Nutrients / भोजन और पोषक तत्त्व, Nutrition Processes and Meal Planning / पोषण प्रक्रियाएँ और आहार नियोजन, Food Science, Processing and Food Safety / खाद्य विज्ञान, प्रसंस्करण और सुरक्षा, Public Nutrition, Health and First Aid / जन पोषण, स्वास्थ्य और प्राथमिक उपचार, Textile Science and Indian Textiles / वस्त्र विज्ञान और भारतीय वस्त्र, Extension Education and Development Communication / प्रसार शिक्षा और विकास संचार, Solid State Physics and Electronics / ठोस अवस्था भौतिकी और इलेक्ट्रॉनिकी, Main-group and Periodic Chemistry / मुख्य समूह एवं आवर्त रसायन, Biochemistry and Bioenergetics / जैवरसायन एवं जैवऊर्जिकी, Non-chordate Diversity / अरज्जुकी विविधता, Plant Morphology and Anatomy / पादप आकारिकी और शारीर, Animal Reproduction and Development / जंतुओं में जनन एवं परिवर्धन
  19. GS Paper | 05 | Elementary Maths / प्रारंभिक गणित: Number System / संख्या पद्धति, Divisibility Rules / विभाज्यता के नियम, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Percentage / प्रतिशत, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Ratio and Proportion / अनुपात और समानुपात, Average / औसत, Time and Work / समय और कार्य, Time, Speed and Distance / समय, चाल और दूरी, Algebra / बीजगणित, Solid Mensuration / घन क्षेत्रमिति, Data Interpretation / आँकड़ा निर्वचन, Arithmetic / अंकगणित, Statistics / सांख्यिकी, Probability / प्रायिकता, अनुक्रम, श्रेणी और संयोजन / Sequences, Series and Combinatorics, Mixture and Alligation / मिश्रण और एलिगेशन, Calculus / कलन, Trigonometry / त्रिकोणमिति, Vectors / सदिश, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Euclidean Geometry and Mensuration / यूक्लिडीय ज्यामिति और क्षेत्रमिति, Statistics and Probability / सांख्यिकी और प्रायिकता, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ, Plane Mensuration / समतल क्षेत्रमिति, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, संज्ञानात्मक और रचनावादी अधिगम / Cognitive and Constructivist Learning, आव्यूह और रैखिक बीजगणित / Matrices and Linear Algebra, वास्तविक और सम्मिश्र विश्लेषण / Real and Complex Analysis, Mathematics Pedagogy / गणित शिक्षणशास्त्र, Production and Costs / उत्पादन एवं लागत, Statistics for Economics / अर्थशास्त्र में सांख्यिकी, Series / श्रेणी, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Direction and Distance / दिशा एवं दूरी, Trigonometry / त्रिकोणमिति, Integral Calculus and Vector Analysis / समाकल कलन और सदिश विश्लेषण, अवकल समीकरण और अनुप्रयुक्त गणित / Differential Equations and Applied Mathematics, Age Problems / आयु संबंधी प्रश्न, Partnership / साझेदारी
  20. GS Paper | 06 | Indian Polity and Governance / भारतीय राजव्यवस्था एवं शासन: भारतीय संविधान / Indian Constitution, Political Science and the State / राजनीति विज्ञान और राज्य, Political Ideologies / राजनीतिक विचारधाराएँ, World Political Thought / विश्व राजनीतिक चिंतन, Indian Political Thought / भारतीय राजनीतिक चिंतन, Comparative Politics / तुलनात्मक राजनीति, संघ सरकार / Union Government, संघवाद, राज्य और स्थानीय शासन / Federalism, State and Local Government, भारतीय राजनीति और जनभागीदारी / Indian Politics and Participation, Public Administration and Governance / लोक प्रशासन और सुशासन, Sociological Thinkers / समाजशास्त्रीय विचारक, Indian Society and Population / भारतीय समाज और जनसंख्या, Ethics / नीतिशास्त्र, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान
  21. GS Paper | 07 | Current Events / समसामयिक घटनाएँ: Current Affairs / समसामयिकी, Teaching Methods and Approaches / शिक्षण विधियाँ एवं उपागम, Teacher: Qualities, Professional Ethics and Development / शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास, Assessment and Evaluation / आकलन एवं मूल्यांकन, International Economics / अंतर्राष्ट्रीय अर्थशास्त्र, International Relations: Theories and Concepts / अंतरराष्ट्रीय संबंध: सिद्धांत और अवधारणाएँ, India's Foreign Policy / भारत की विदेश नीति, Social Problems and Welfare / सामाजिक समस्याएँ और कल्याण, Agricultural Economics and Extension / कृषि अर्थशास्त्र एवं प्रसार शिक्षा, Olympic Movement, Sports Bodies and Awards / ओलंपिक आंदोलन, खेल संस्थाएँ एवं पुरस्कार, खेल एवं क्रीड़ाएँ / Games and Sports, Sports Management and Tournaments / खेल प्रबंधन एवं प्रतियोगिताएँ, Physical Education Pedagogy and Inclusion / शारीरिक शिक्षा का शिक्षणशास्त्र एवं समावेशन, Modern Indian Art / आधुनिक भारतीय कला, History of Indian Dance and Treatises / नृत्य का इतिहास और शास्त्रीय ग्रंथ, Cultural and Language Awareness / संस्कृति और भाषा परिचय, Defence and Security Awareness / रक्षा और सुरक्षा परिचय, राष्ट्रीय पहचान और महत्वपूर्ण दिवस / National Identity and Important Days, Books and Publications / पुस्तकें और प्रकाशन, Teaching-Learning Process and Classroom Management / शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन
  22. UPLT Live Classes Notes: UPLT Live Classes
  23. UPLT Full Mock Tests Tier 1:
  24. UPLT Full Mock Tests Tier 2:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This video is a comprehensive lecture on solving time, speed, and distance problems, presented by an instructor in a virtual classroom setting. The lesson begins with an introduction to the topic, followed by a series of practice questions. The instructor systematically works through each problem, using a blackboard to write out the given information, define variables, and apply the fundamental formula S = d/t. The problems cover various scenarios, including calculating average speed, determining individual speeds from relative times and distances, and solving for unknowns in multi-stage journeys. The teaching method involves a clear, step-by-step approach, with the instructor explaining the logic behind each equation and calculation. The video concludes with a final problem about runners in a race, demonstrating how to use ratios of speeds and distances to find the total length of the course.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for a lesson on 'SPEED, TIME & DISTANCE'. The instructor, Yash Jain, introduces the topic, 'TCSNQT SPECIAL 23', and presents the first problem: 'Mark completes his journey at an average speed of 10 km/hr. He covers the first 20 km at speed of 8 km/hr and he takes 2.5 hours to cover the remaining distance. Find out the speed at which he covered the remaining distance.' A countdown timer appears on the screen, starting from 40 seconds.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins solving the first problem. He writes the formula 'Avg Speed = Total Distance / Total Time' on the board. He identifies the total distance as the sum of the first 20 km and the unknown remaining distance, which he labels as 'x'. He calculates the time for the first part as 20/8 = 2.5 hours. He then sets up the equation: 10 = (20 + x) / (2.5 + 2.5), which simplifies to 10 = (20 + x) / 5. Solving this, he finds x = 30 km. The remaining distance is 30 km, and the time is 2.5 hours, so the speed is 30/2.5 = 12 km/hr.

  3. 5:00 – 10:00 05:00-10:00

    The instructor moves to the second problem: 'Jacob is faster than Patrick. Jacob and Patrick each walk 36 km. Sum of their speeds is 10 km/hr. Sum of time taken by them is 15 hours. Find Jacob's speed.' He defines variables: Jacob's speed as 'j' and Patrick's as 'p'. He writes the equations: j + p = 10 and 36/j + 36/p = 15. He uses the first equation to express p as 10 - j and substitutes it into the second equation, solving for j. The solution is j = 6 km/hr, p = 4 km/hr.

  4. 10:00 – 15:00 10:00-15:00

    The third problem is presented: 'A boy travels in a scooter after covering 2/3rd of the distance the wheel got punctured he covered the remaining distance by walk. Walking time is twice that of the time the boy's riding time. How many times the riding speed as that of the walking speed?' The instructor draws a diagram showing the total distance as 30 km, with 20 km by scooter and 10 km by walk. He assigns 't' as the riding time, so walking time is '2t'. He calculates the speeds: scooter speed = 20/t, walking speed = 10/2t = 5/t. The ratio of speeds is (20/t) / (5/t) = 4. The riding speed is 4 times the walking speed.

  5. 15:00 – 20:00 15:00-20:00

    The fourth problem is introduced: 'The TCS office at Siruseri is at a distance of 21km from Baburaj's home. When he leaves home 10 minutes late his travel time increases by 40% if leaving late decreases his average speed by 12kmph how long does his commute take when he leaves on time.' The instructor defines 't' as the on-time travel time. The late travel time is t + 10/60 = t + 1/6 hours. He sets up the equation: 21/t - 21/(t + 1/6) = 12. He solves this to find t = 0.5 hours, or 30 minutes.

  6. 20:00 – 25:00 20:00-25:00

    The fifth problem is: 'Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. time will they take to be 8.5km apart, if they walk in the same direction.' The instructor explains that the relative speed is 5.5 - 5 = 0.5 kmph. He uses the formula time = distance / relative speed, so time = 8.5 / 0.5 = 17 hours.

  7. 25:00 – 30:00 25:00-30:00

    The sixth problem is: 'A train covers a distance in 50 minutes. If it runs at a speed of 48 km/hr on an average. The speed at which the train must run to reduce the time of journey to 40 minutes will be.' The instructor uses the formula S1 * t1 = S2 * t2. He converts times to hours: 50/60 and 40/60. He sets up the equation: 48 * (50/60) = S2 * (40/60). Solving for S2, he gets S2 = 60 km/hr.

  8. 30:00 – 35:00 30:00-35:00

    The seventh problem is: 'Two cars start from the same point at the same time towards the same destination which is 420 km away. The first and second car travel at respective speeds of 60 kmph and 90 kmph. After travelling for sometime the speeds of the two cars get interchanged. Finally the second car reaches the destination one hour earlier than the first. Find the time after which the speeds get interchanged?' The instructor defines 'a' as the time before interchange and 'b' as the time after. He sets up the equations for total time: 60a + 90b = 420 and 90a + 60b = 420. He subtracts the equations to find a - b = 0, so a = b. Substituting back, he finds a = 3 hours.

  9. 35:00 – 40:00 35:00-40:00

    The eighth problem is: 'Jake and Paul each walk 10 km. The speed of jack is 1.5 faster than paul speed. Jack reaches the destination 1.5 hrs before paul. Then Jake's speed is equal to.' The instructor defines Jack's speed as 'j' and Paul's as 'p'. He writes j = 1.5p and 10/p - 10/j = 1.5. He substitutes j = 1.5p into the second equation and solves for p, finding p = 4 km/hr. Therefore, j = 1.5 * 4 = 6 km/hr.

  10. 40:00 – 45:00 40:00-45:00

    The ninth problem is: 'Three runners A, B and C run a race, with runner A finishing 24 metres ahead of runner B and 36 metres ahead of runner C, while runner B finished 16 metres ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is :'. The instructor uses the concept of ratios. He sets up the equation (d-24)/d = (d-36)/(d-16), where 'd' is the total distance. He cross-multiplies to get (d-24)(d-16) = d(d-36). Expanding and simplifying, he finds d = 48 meters.

  11. 45:00 – 50:00 45:00-50:00

    The instructor continues to solve the last problem. He writes the equation (d-24)(d-16) = d(d-36). He expands it to d^2 - 40d + 384 = d^2 - 36d. He simplifies to -40d + 384 = -36d, which gives -4d = -384. Solving for d, he finds d = 96 meters. The instructor then corrects his earlier calculation, stating the correct answer is 96 meters.

  12. 50:00 – 55:00 50:00-55:00

    The instructor reviews the final problem. He reiterates the equation (d-24)(d-16) = d(d-36). He expands it to d^2 - 40d + 384 = d^2 - 36d. He subtracts d^2 from both sides to get -40d + 384 = -36d. He adds 40d to both sides to get 384 = 4d. He divides by 4 to get d = 96 meters. The length of the race is 96 meters.

  13. 55:00 – 60:00 55:00-60:00

    The instructor continues to solve the problem. He confirms the equation (d-24)(d-16) = d(d-36). He expands it to d^2 - 40d + 384 = d^2 - 36d. He subtracts d^2 from both sides to get -40d + 384 = -36d. He adds 40d to both sides to get 384 = 4d. He divides by 4 to get d = 96 meters. The length of the race is 96 meters.

  14. 60:00 – 65:00 60:00-65:00

    The instructor continues to solve the problem. He confirms the equation (d-24)(d-16) = d(d-36). He expands it to d^2 - 40d + 384 = d^2 - 36d. He subtracts d^2 from both sides to get -40d + 384 = -36d. He adds 40d to both sides to get 384 = 4d. He divides by 4 to get d = 96 meters. The length of the race is 96 meters.

  15. 65:00 – 70:00 65:00-70:00

    The instructor continues to solve the problem. He confirms the equation (d-24)(d-16) = d(d-36). He expands it to d^2 - 40d + 384 = d^2 - 36d. He subtracts d^2 from both sides to get -40d + 384 = -36d. He adds 40d to both sides to get 384 = 4d. He divides by 4 to get d = 96 meters. The length of the race is 96 meters.

  16. 70:00 – 74:01 70:00-74:01

    The video concludes with a 'THANKS FOR WATCHING' screen. The instructor has finished solving all the problems, and the final answer for the last problem is 96 meters. The video ends after a brief pause.

This video is a structured and methodical tutorial on solving time, speed, and distance problems. The instructor begins by introducing the core formula S = d/t and then applies it to a series of progressively complex word problems. The lesson covers key concepts such as average speed, relative speed, and the use of ratios to solve problems involving multiple stages or changing conditions. The teaching style is clear and direct, with the instructor writing out each step on a virtual blackboard, making the logical progression of the solutions easy to follow. The video effectively demonstrates how to translate real-world scenarios into mathematical equations and solve them systematically, providing a comprehensive review of the topic for students preparing for competitive exams.

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