Important Practice Questions on SPEED TIME & DISTANCE 2

Duration: 1 hr 14 min

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Module outline

  1. Paper - 1 | Unit - 1 | Teaching Aptitude: Concept and Objectives of Teaching / शिक्षण की अवधारणा एवं उद्देश्य, Levels of Teaching / शिक्षण के स्तर, Learner's Characteristics / शिक्षार्थी की विशेषताएँ, Learning: Nature and Theories / अधिगम: प्रकृति एवं सिद्धांत, Cognition, Memory and Metacognition / संज्ञान, स्मृति एवं अधिसंज्ञान, Factors Affecting Teaching / शिक्षण को प्रभावित करने वाले कारक, Effective Teaching and the Teacher / प्रभावी शिक्षण एवं शिक्षक, Instructional Objectives and Lesson Planning / अनुदेशनात्मक उद्देश्य एवं पाठ नियोजन, Methods of Teaching / शिक्षण विधियाँ, Offline and Online Teaching Methods / ऑफ़लाइन एवं ऑनलाइन शिक्षण विधियाँ, Teaching Support System / शिक्षण सहायक प्रणाली, Evaluation Systems / मूल्यांकन प्रणाली, Biological Basis of Emotion / संवेग का जैविक आधार, Central and Peripheral Nervous Systems / केन्द्रीय और परिधीय तंत्रिका तंत्र
  2. Paper - 1 | Unit - 2 | Research Aptitude: Research: Meaning, Features and Scientific Method / अनुसंधान: अर्थ, लक्षण व वैज्ञानिक विधि, Research Paradigms and Approaches / अनुसंधान के प्रतिमान एवं उपागम, Types of Research / अनुसंधान के प्रकार, Variables and Measurement / चर एवं मापन, Methods of Research / अनुसंधान की विधियाँ, Steps of Research / अनुसंधान के चरण, Sampling / प्रतिचयन, Tools and Methods of Data Collection / आँकड़ा संग्रह के उपकरण एवं विधियाँ, Data Analysis and Statistics in Research / आँकड़ा विश्लेषण एवं शोध सांख्यिकी, Thesis and Article Writing / शोध-प्रबंध एवं लेख लेखन, Application of ICT in Research / अनुसंधान में ICT का अनुप्रयोग, Research Ethics / शोध नैतिकता
  3. Paper - 1 | Unit - 3 | Comprehension: Literal Comprehension, Vocabulary and Language in Context, Inferential Comprehension, Critical Comprehension, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions)
  4. Paper - 1 | Unit - 4 | Communication: Communication: Meaning, Nature and Process / संचार: अर्थ, प्रकृति एवं प्रक्रिया, Types and Levels of Communication / संचार के प्रकार एवं स्तर, Verbal and Non-verbal Communication / मौखिक एवं अमौखिक संचार, Semiotics and Meaning / संकेत विज्ञान एवं अर्थ, Models and Theories of Communication / संचार के मॉडल एवं सिद्धांत, Effective Communication / प्रभावी संचार, Barriers to Communication / संचार की बाधाएँ, Classroom Communication / कक्षा संचार, Mass Media: Types and Evolution / जनसंचार माध्यम: प्रकार एवं विकास, Mass Media and Society / जनसंचार एवं समाज, Digital and New Media / डिजिटल एवं नव माध्यम, General Awareness (Legacy Paper 1) / सामान्य जागरूकता (पुराना पेपर 1)
  5. Paper - 1 | Unit - 5 | Mathematical Reasoning and Aptitude: Number System and Simplification / संख्या पद्धति एवं सरलीकरण, Algebra and Ages / बीजगणित एवं आयु, Percentage / प्रतिशतता, Ratio, Proportion, Partnership and Mixtures / अनुपात, समानुपात, साझेदारी एवं मिश्रण, Averages / औसत, Profit, Loss and Discount / लाभ, हानि एवं बट्टा, Simple and Compound Interest / साधारण एवं चक्रवृद्धि ब्याज, Time and Work / समय एवं कार्य, Speed, Time and Distance / चाल, समय एवं दूरी, Mensuration and Geometry / क्षेत्रमिति एवं ज्यामिति, Series / श्रेणी, Coding-Decoding / कूटलेखन-कूटवाचन, Relationships, Directions and Ranking / संबंध, दिशा एवं क्रम, Arrangements, Puzzles, Clock and Calendar / व्यवस्था, पहेलियाँ, घड़ी एवं कैलेंडर, Mathematical Foundations, जीवनी, Philosophy of the Constitution / संविधान का दर्शन, Analysis, Indian Polity and Governance (Legacy Unit 10) / भारतीय राजव्यवस्था और शासन (पुराना यूनिट 10)
  6. Paper - 1 | Unit - 6 | Logical Reasoning: Structure of Arguments / युक्ति की संरचना, Terms, Definitions and Uses of Language / पद, परिभाषा एवं भाषा के उपयोग, Categorical Propositions / निरुपाधिक प्रतिज्ञप्तियाँ, Categorical Syllogism / निरुपाधिक न्यायवाक्य, Venn Diagrams / वेन आरेख, Deduction, Induction and Analogy / निगमन, आगमन एवं सादृश्यता, Fallacies / तर्कदोष, Indian Logic: Pramanas / भारतीय तर्कशास्त्र: प्रमाण, Anumana and Vyapti / अनुमान एवं व्याप्ति, Hetvabhasa / हेत्वाभास, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Aristotle / अरस्तू, Western Schools of Philosophy / पाश्चात्य दर्शन की विचारधाराएँ, Kant / कांट, Sadhana Paada, Vaiśeṣika / वैशेषिक
  7. Paper - 1 | Unit - 7 | Data Interpretation: Data and Graphical Representation / आँकड़े एवं आलेखीय निरूपण, Data Interpretation: Tables / आँकड़ा निर्वचन: तालिका
  8. Paper - 1 | Unit - 8 | Information and Communication Technology: Computer Fundamentals and Hardware, Memory, Storage and Data Representation, Computer Software, Office Applications, Multimedia and File Formats, Computer Networks, Internet and World Wide Web, Email and Online Communication, Cyber Security, Digital Ethics, IPR and Society, Cloud and Distributed Computing, Emerging Technologies, ICT in Education and Governance, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Electronic Data Interchange and E-Commerce, Internet Fundamentals, Web Design & Development, Web Publishing & Hosting, Emerging Technologies, Terms & Abbreviations, Society, Law & Ethics, Keyboard Shortcuts, Website, Browser & Services, Protection of Geographical Indications / भौगोलिक संकेतों का संरक्षण
  9. Paper - 1 | Unit - 9 | People Development and Environment: Ecosystems and Biodiversity / पारितंत्र और जैव विविधता, Human and Environment Interaction / मानव और पर्यावरण की अंतःक्रिया, Development and Environment / विकास और पर्यावरण, Natural Resources – Forests, Water and Soil / प्राकृतिक संसाधन: वन, जल और मृदा, Energy Resources / ऊर्जा संसाधन, Air Pollution / वायु प्रदूषण, Water Pollution and Treatment / जल प्रदूषण और उपचार, Noise Pollution / ध्वनि प्रदूषण, Waste Management / अपशिष्ट प्रबंधन, Environmental Health and Toxicology / पर्यावरणीय स्वास्थ्य और विषविज्ञान, Climate Change and Global Environmental Issues / जलवायु परिवर्तन और वैश्विक पर्यावरणीय समस्याएँ, Natural Hazards and Disaster Management / प्राकृतिक प्रकोप और आपदा प्रबंधन, Indian Environmental Laws and Policies / भारतीय पर्यावरण कानून और नीतियाँ, International Environmental Agreements / अंतर्राष्ट्रीय पर्यावरण समझौते, Environment / पर्यावरण, Geography / भूगोल, Factory and Industry Systems / कारखाना और उद्योग व्यवस्थाएँ, Earth Materials, Surface Features and Processes, Communicable Diseases and Immunization / संक्रामक रोग और प्रतिरक्षण
  10. Paper - 1 | Unit - 10 | Higher Education System: Education in Ancient India / प्राचीन भारत में शिक्षा, Ancient Centres of Higher Learning / प्राचीन भारत के उच्च शिक्षा केंद्र, Colonial Education Policies and Commissions / औपनिवेशिक काल की शिक्षा नीतियाँ और आयोग, Colonial Colleges, Universities and Reformers / औपनिवेशिक कॉलेज, विश्वविद्यालय व सुधारक, Education Commissions and Policies after Independence / स्वतंत्र भारत में शिक्षा आयोग और नीतियाँ, National Education Policy 2020 / राष्ट्रीय शिक्षा नीति 2020, Types of Higher Education Institutions / उच्च शिक्षा संस्थानों के प्रकार, Learning Programmes and Academic Credits / अधिगम कार्यक्रम और अकादमिक क्रेडिट, Professional, Technical and Skill-Based Education / व्यावसायिक, तकनीकी और कौशल आधारित शिक्षा, Value Education and Environmental Education / मूल्य शिक्षा और पर्यावरण शिक्षा, Governance, Administration and Financing / शासन, प्रशासन और वित्तपोषण, Regulation, Accreditation and Ranking / उच्च शिक्षा का नियमन, प्रत्यायन और रैंकिंग
  11. Paper 2 | Unit 1 | Discrete Structures and Optimization: Propositional and Predicate Logic, Set Theory, Relations, Functions, Permutation, Combination and Probability / क्रमचय, संचय एवं प्रायिकता, Graph Theory, Group Theory, Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Optimization, Markov Chains
  12. Paper 2 | Unit 2 | Computer System Architecture: Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Basics of COA, Register Transfer and Microoperations, Programming the Basic Computer, Instr Formats & Modes, Control Unit Design, Pipelining, Input Output Organisation, Cache Memory Organization, Multiprocessors
  13. Paper 2 | Unit 3 | Programming Languages and Computer Graphics: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, HTML Basics, XML, JavaScript-Basics, Java, Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, OOPS with C++, Java Fundamentals, Array, String, IO & References, OOPS with Java
  14. Paper 2 | Unit 4 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, 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
  15. Paper 2 | Unit 5 | System Software and 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, Linux OS, Security, Distributed Systems, Virtual Machines
  16. Paper 2 | Unit 6 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  17. Paper 2 | Unit 7 | Data Structures and Algorithms: 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, Advanced Algorithms
  18. Paper 2 | Unit 8 | Theory of Computation and Compilers: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  19. Paper 2 | Unit 9 | Data Communication and 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, Network Security, Cloud Computing, Mobile Computing
  20. Paper 2 | Unit 10 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Full Notes: Paper 1 Full Notes
  22. Paper 1 | Full Mock Tests:
  23. Paper 2 | Full Mock Tests:
  24. Paper 1 | Previous Year Papers:
  25. Paper 2 | Previous Year Papers:
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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