Important Practice Questions on AVERAGE SPEED (2)

Duration: 13 min

This video lesson is available to enrolled students.

Return to /learn/ZERO-TO-HERO/aptitude/speed-time-and-distance/average-speed/asset-important-practice-questions-on-average-speed-2 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. 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, Relational Calculus, Transaction Management, Concurrency Control
  2. Discrete Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic
  3. Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  4. Computer Architecture: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design
  5. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Virtual Memory, Disc Scheduling, File Management, Memory Management, Threads & Process Creation
  6. Computer Networks: Introduction to CN, 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, Network Security, Hardware Basics
  7. Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  8. Algorithms: Algorithm Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Time Complexity Analysis
  9. 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, Complexity Theory
  10. Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  11. C language: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums
  12. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. Emerging Trends & AI: Emerging Tech Trends, Artificial Intelligence
  14. Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing
  15. Aptitude: Percentage, Ratio and Proportion (Ratios), Logarithm, HCF LCM, Divisibility Rules, Average, Sequence and Series (Series), Number System, Powers and Exponents (Surds and Indices), Algebra, Permutation and Combination, Probability, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Speed Time and Distance, Mixture and Alligation, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Statistics, Data Interpretation, Arithmetic, Speed Mathematics and Basic Mathematics, TCS NQT Advanced Quantitative Ability, Gamified / Game Based Aptitude, Linear Algebra, Trigonometry
  16. Reasoning: Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Crypt Arithmetic, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, TCS NQT Advanced Reasoning Ability
  17. English (Verbal Ability): Vocabulary, Noun, Pronoun, Adjectives, Preposition, Articles, Direct and Indirect Speech, Tenses, Conjunction, Subject Verb Agreement (Verb Noun Agreement), Modals, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Sentence Construction, Active Passive Voice (Voice), Determiner, Facts, Inference and Judgements, Adverb, Interjection, Verb, English Writing Ability
  18. Engineering Mathematics: Calculus, Vectors
  19. GATE Live Class Recordings 2026: GATE 2026 Live Class
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a lecture on calculating average speed for journeys with varying speeds over equal distances. The instructor, Yash Jain, begins by introducing the topic with a title slide. He then presents a problem where a journey is divided into three equal parts, each covered at different speeds (60 km/hr, 75 km/hr, and 45 km/hr). He explains that the standard formula for average speed, total distance divided by total time, must be used. The key insight is that since the distances are equal, the average speed is the harmonic mean of the individual speeds. He demonstrates this by setting the total distance as '3x' and calculating the time for each segment, then summing them to find the total time. The final formula is derived as 3 / (1/60 + 1/75 + 1/45), which simplifies to 50 km/hr. The video concludes with a second example involving a bird flying 400 km in four 100 km segments at different speeds, reinforcing the same concept. The video is from Knowledge Gate Eduventures and is presented as a preparation resource for competitive exams like LTI and GATE.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for a lecture on "SPEED, TIME & DISTANCE" by Yash Jain. The slide features a background image of a car driving on a desert road, visually representing the topic. The instructor, Yash Jain, appears in a small window in the bottom right corner, introducing the topic. The slide also includes a logo for "YASH JAIN SIR" and "KNOWLEDGE GATE EDUCATOR". The overall presentation is clean and professional, setting the stage for an academic lesson.

  2. 2:00 – 5:00 02:00-05:00

    The video transitions to a problem statement on a whiteboard. The question asks to find the average speed of a journey where one third is covered at 60 km/hr, another third at 75 km/hr, and the last third at 45 km/hr. The instructor begins to solve it by writing down the key information: (1) Speed ✓, (2) Distance covered same, (3) Speed ✓. He explains that since the distances are equal, the average speed is not the arithmetic mean but the harmonic mean. He sets the total distance as '3x' and begins to write the formula for average speed: total distance / total time.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues to solve the problem. He writes the formula for average speed as 3x / (x/60 + x/75 + x/45). He then factors out 'x' from the denominator, simplifying the expression to 3 / (1/60 + 1/75 + 1/45). He proceeds to find a common denominator for the fractions in the denominator, which is 180. The expression becomes 3 / (3/180 + 2.4/180 + 4/180), which simplifies to 3 / (9.4/180). He then calculates the final answer as 3 * 180 / 9.4, which is approximately 50 km/hr. He emphasizes that this is the harmonic mean of the three speeds.

  4. 10:00 – 12:59 10:00-12:59

    The video presents a second example. The question is about a bird flying 400 km, with the first 100 km at 100 km/hr, the second at 200 km/hr, the third at 300 km/hr, and the last at 400 km/hr. The instructor explains that this is another case of equal distances. He writes the formula for average speed as total distance / total time, which is 400 / (100/100 + 100/200 + 100/300 + 100/400). He simplifies this to 400 / (1 + 0.5 + 0.333 + 0.25), which equals 400 / 2.0833, resulting in an average speed of approximately 192 km/hr. The video ends with a "THANKS FOR WATCHING" screen.

The video provides a clear and structured lesson on calculating average speed for journeys with equal distances but different speeds. It begins by establishing the fundamental formula for average speed and then applies it to a specific problem. The key teaching point is the distinction between arithmetic and harmonic mean, emphasizing that for equal distances, the average speed is the harmonic mean of the individual speeds. The instructor uses a step-by-step approach, writing out the equations and simplifying them to arrive at the final answer. The second example reinforces the concept, showing its application to a different scenario. The overall flow is logical, moving from theory to practical application, making it an effective study resource for students preparing for competitive exams.

Loading lesson…