Efficiency & Alterate Days Problem (2)
Duration: 6 min
This video lesson is available to enrolled students.
Inside: a video lesson and guided study material.
Module outline
- Child Development and Pedagogy: विकास की अवधारणा / Concept of Development, विकास के मनोवैज्ञानिक सिद्धांत / Psychological Theories of Development, व्यक्तिगत भिन्नताएँ, व्यक्तित्व एवं जेंडर / Individual Differences, Personality and Gender, बुद्धि एवं सृजनात्मकता / Intelligence and Creativity, अधिगम एवं इसके सिद्धांत / Learning and Its Theories, बालक कैसे सोचते एवं सीखते हैं / How Children Think and Learn, संवेग, अभिप्रेरणा, मानसिक स्वास्थ्य एवं निर्देशन / Emotion, Motivation, Mental Health and Guidance, समावेशी शिक्षा / Inclusive Education, शिक्षण-अधिगम प्रक्रिया / Teaching-Learning Process, शिक्षण विधियाँ एवं रणनीतियाँ / Teaching Methods and Strategies, आकलन एवं मूल्यांकन / Assessment and Evaluation, पाठ्यचर्या और विद्यालयी गतिविधियाँ / Curriculum and School Activities, पाठ योजना और शिक्षण कौशल / Lesson Planning and Teaching Skills, शिक्षण संसाधन और शैक्षिक प्रौद्योगिकी / Teaching Resources and Educational Technology, शैक्षिक विचारक, उद्देश्य एवं राष्ट्रीय नीतियाँ / Educational Thinkers, Aims and National Policies, कक्षा प्रबंधन और सम्प्रेषण / Classroom Management and Communication, शिक्षक पहचान और व्यावसायिक विकास / Teacher Identity and Professional Development, सामाजिक विज्ञान शिक्षणशास्त्र / Social Science Pedagogy, सामाजिक एवं राजनीतिक जीवन / Social and Political Life, विज्ञान शिक्षण शास्त्र / Science Pedagogy, जीवन कौशल, मूल्य, शांति एवं पर्यावरण शिक्षा / Life Skills, Values, Peace and Environmental Education, संविधान, आयोग, अधिनियम एवं योजनाएँ / Constitution, Commissions, Acts and Schemes in Education
- Mathematics: संख्या पद्धति एवं स्थानीय मान / Number System & Place Value, मूलभूत संक्रियाएँ, सरलीकरण एवं पैटर्न / Basic Operations, Simplification & Patterns, गुणनखंड, विभाज्यता, म.स.प. एवं ल.स.प. / Factors, Divisibility, HCF & LCM, भिन्न एवं दशमलव / Fractions & Decimals, वर्ग, घन, घातांक एवं करणी / Squares, Cubes, Exponents & Surds, मापन: लंबाई, भार, धारिता, समय एवं मुद्रा / Measurement: Length, Mass, Capacity, Time & Money, बीजगणित / Algebra, अनुपात, समानुपात, औसत एवं आयु / Ratio, Proportion, Average & Ages, प्रतिशत, लाभ-हानि एवं ब्याज / Percentage, Profit–Loss & Interest, समय-कार्य एवं चाल-दूरी / Time & Work and Speed–Distance, रेखाएँ, कोण, आकृतियाँ एवं निर्देशांक / Lines, Angles, Shapes & Coordinates, त्रिभुज, चतुर्भुज, वृत्त एवं त्रिकोणमिति / Triangles, Quadrilaterals, Circles & Trigonometry, क्षेत्रमिति: परिमाप, क्षेत्रफल एवं आयतन / Mensuration: Perimeter, Area & Volume, आँकड़ा प्रबंधन, सांख्यिकी एवं प्रायिकता / Data Handling, Statistics & Probability, गणित शिक्षणशास्त्र / Mathematics Pedagogy, वर्णमाला एवं संख्या परीक्षण / Alphabet & Number Test, अशाब्दिक तर्क / Non-Verbal Reasoning, पासा एवं घन / Dice & Cubes, गणितीय संक्रियाएँ एवं अंकगणितीय तर्क / Mathematical Operations & Arithmetical Reasoning, क्रम, बैठक व्यवस्था एवं पहेली / Ranking, Seating Arrangement & Puzzles, कैलेंडर एवं घड़ी / Calendar & Clock, वेन आरेख एवं तार्किक निगमन / Venn Diagrams & Logical Deduction
- Environmental Studies: परिवार, मित्र और समुदाय / Family, Friends and Community, पौधे / Plants, जंतु / Animals, खेती और पशुपालन / Farming and Animal Husbandry, भोजन और पोषण / Food and Nutrition, शरीर और स्वास्थ्य / Body and Health, जल / Water, आवास / Shelter, यात्रा, परिवहन और संचार / Travel, Transport and Communication, मानचित्र, दिशाएँ और भारत / Maps, Directions and India, हम क्या बनाते और करते हैं / Things We Make and Do, पृथ्वी, आकाश और आपदाएँ / Earth, Sky and Disasters, पर्यावरण, पारिस्थितिकी और वन्यजीव / Environment, Ecology and Wildlife, प्राकृतिक संसाधन, प्रदूषण और जलवायु परिवर्तन / Natural Resources, Pollution and Climate Change, पर्यावरण अध्ययन का शिक्षणशास्त्र / Pedagogy of Environmental Studies, भौतिक भूगोल / Physical Geography, संसाधन एवं विकास / Resources and Development, बल, दाब, कार्य एवं ऊर्जा / Force, Pressure, Work and Energy, पर्यावरण एवं पारिस्थितिकी / Environment and Ecology, विज्ञान एवं प्रौद्योगिकी / Science & Technology, ऊष्मा एवं ध्वनि / Heat and Sound, प्रकाश / Light, ब्रह्मांड एवं प्राकृतिक परिघटनाएँ / Universe and Natural Phenomena, रासायनिक अभिक्रियाएँ, अम्ल, क्षार एवं लवण / Chemical Reactions, Acids, Bases and Salts, प्राकृतिक वनस्पति, वन्य जीवन एवं विश्व के प्रदेश / Natural Vegetation, Wildlife and World Regions, पर्यावरण एवं जलवायु समसामयिकी / Environment & Climate Affairs
- Language I/II — Hindi: भाषा, लिपि और वर्ण-विचार, संधि, शब्द-स्रोत और शब्द-रचना, समास, शब्द-भेद: विकारी और अविकारी, लिंग, वचन, कारक, काल और वाच्य, वाक्य-विचार और शुद्ध लेखन, शब्द-भंडार, रस, छंद, अलंकार और शब्द-शक्ति, हिंदी साहित्य, अपठित बोध, हिंदी शिक्षणशास्त्र
- Language I/II — English: Sounds, Spelling and Word Formation, Parts of Speech, Nouns and Pronouns, Articles, Determiners and Adjectives, Verbs and Modals, Tenses and Subject–Verb Agreement, Adverbs, Prepositions and Conjunctions, Sentence Structure, Voice and Narration, Vocabulary, Sentence Correction and Writing Skills, Poetry and English Literature, Reading Comprehension, Pedagogy of English Language
- Language I/II — Sanskrit: वर्णविचारः एवं संज्ञाप्रकरणम्, सन्धिप्रकरणम्, शब्दरूपाणि, धातुरूपाणि, कारकाणि एवं विभक्तयः, उपसर्गाः एवं अव्ययानि, प्रत्ययप्रकरणम्, समासप्रकरणम्, वाच्यप्रकरणम्, संख्याज्ञानम्, शब्दज्ञानम् एवं अनुवादः, अपठितावबोधनम्, संस्कृतसाहित्यम् एवं काव्यशास्त्रम्, संस्कृतशिक्षणशास्त्रम्
- Language I/II — Urdu: رسم الخط، املا اور تلفظ, ذخیرۂ الفاظ, قواعد, محاورے اور ضرب الامثال, شعر و سخن, اردو ادب کی تاریخ, تفہیمِ عبارت, اردو کی تدریس
- Language I/II — Bengali: ভাষা, ধ্বনি ও বর্ণ, সন্ধি ও বানান, শব্দের উৎস ও গঠন, সমাস, পদ পরিচয়, কারক ও বিভক্তি, ক্রিয়া ও কাল, বাক্যতত্ত্ব, শব্দার্থ ও বাগর্থ, পাঠ অনুধাবন ও সাহিত্য, নির্মিতি ও পত্রলিখন, বাংলা শিক্ষণবিদ্যা
- अतिरिक्त अभ्यास / Extra Practice (beyond syllabus): कंप्यूटर हार्डवेयर एवं परिधीय उपकरण / Computer Hardware and Peripherals, अंतरराष्ट्रीय संबंध एवं संगठन / International Relations & Organisations, भारतीय अर्थव्यवस्था: आँकड़े एवं समसामयिकी / Indian Economy: Data & Current Affairs
AI summary & chapters
AI Summary
An AI-generated summary of this video lecture.
This video is a tutorial on solving a work and time problem involving the earnings of men and boys. The instructor, Yash Jain Sir, presents a question where the earnings of 5 men and 7 boys in 6 days and 2 men and 3 boys in 4 days are given, and the task is to find the time for 7 men and 6 boys to earn Rs. 750. The solution method involves setting up equations for the daily earnings of a man (M) and a boy (B), using the given data to find the individual daily earnings, and then calculating the total time required. The video uses a step-by-step approach, first finding the daily earning of a man and a boy, and then applying these values to the final scenario.
Chapters
0:00 – 2:00 00:00-02:00
The video opens with a title card for a 'TIME & WORK' lesson, followed by a screen showing a multiple-choice question (Q1) about the earnings of men and boys. The instructor, Yash Jain Sir, introduces the problem: 'If 5 men with 7 boys can earn Rs. 127.50 in 6 days and 2 men with 3 boys can earn Rs. 35 in 4 days, then find the time in which 7 men with 6 boys will earn Rs. 750.' The options are (A) 20 days, (B) 25 days, (C) 15 days, (D) 30 days. The instructor begins to solve the problem by setting up the first equation: 5M + 7B = 127.50 in 6 days, which simplifies to 5M + 7B = 21.25 per day.
2:00 – 5:00 02:00-05:00
The instructor continues to solve the problem by setting up the second equation from the given data: 2M + 3B = 35 in 4 days, which simplifies to 2M + 3B = 8.75 per day. He then uses the method of elimination to solve for the individual daily earnings. He multiplies the first equation (5M + 7B = 21.25) by 2 to get 10M + 14B = 42.5, and the second equation (2M + 3B = 8.75) by 5 to get 10M + 15B = 43.75. By subtracting the first new equation from the second, he finds that B = 1.25. Substituting this value back, he finds M = 2.5. The instructor then calculates the daily earning of 7 men and 6 boys as 7(2.5) + 6(1.25) = 17.5 + 7.5 = 25.
5:00 – 6:23 05:00-06:23
With the daily earning of 7 men and 6 boys established as Rs. 25, the instructor calculates the time required to earn Rs. 750. He sets up the equation: 25 * x = 750, where x is the number of days. Solving for x, he finds x = 750 / 25 = 30 days. The final answer is 30 days, which corresponds to option (D). The video concludes with a summary of the steps and a 'THANKS FOR WATCHING' screen.
The video presents a clear, step-by-step solution to a classic work and time problem. It demonstrates the method of setting up a system of linear equations based on given work rates and then solving for the unknown individual rates. The core concept is that the total work (earnings) is the product of the rate (daily earning) and the time. By first determining the individual daily earnings of a man and a boy, the solution can be extended to any combination of workers. The method of elimination is used effectively to solve the system of equations, and the final answer is derived by simple division of the total amount by the combined daily rate.