One man, 3 women and 4 boys can do a piece of work in 96 hours 2 men and 8 boys can do it in 80 hour
Автор: Open Eye 4 TNPSC
Загружено: 2026-01-20
Просмотров: 18
Описание:
Mastering Time and Work problems is essential for cracking the TNPSC exams. In this tutorial, we tackle a complex problem involving men, women, and boys to find the total time required for a specific group to complete a task.
The Problem:
1 man, 3 women, and 4 boys can complete a piece of work in 96 hours.
2 men and 8 boys can complete it in 80 hours.
2 men and 3 women can complete it in 120 hours.
Goal: Find how long it takes for 5 men and 12 boys to do the same work.
What you will learn in this video:
Converting Time to Efficiency: How to represent work as fractions (e.g., 96 hours becomes 1/96 efficiency).
Algebraic Substitution: Using common factors to simplify equations and solve for individual efficiencies (Men, Women, and Boys).
Efficiency of a Man: Calculating that one man's efficiency is 1/480.
Efficiency of a Boy: Calculating that one boy's efficiency is 1/960.
Final Calculation: Combining the efficiencies of 5 men and 12 boys to reach the final answer of 43 7/11 hours.
Pro Tip: This problem is slightly time-consuming (taking roughly 3–4 minutes to solve manually). We recommend saving such complex calculations for the end of your exam to manage time effectively.
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