UPSC Exam  >  UPSC Questions  >  Eight children and 12 men complete a certain ... Start Learning for Free
Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work?
Most Upvoted Answer
Eight children and 12 men complete a certain piece of work in 9 days. ...
Given Information:
- 8 children and 12 men complete a certain piece of work in 9 days.
- Each child takes twice the time taken by a man to finish the work.

Calculation:
Let the time taken by a man to complete the work be x days.
Therefore, the time taken by a child to complete the work will be 2x days.

Work Done by Children and Men:
- Work done by 1 child in 1 day = 1/(2x)
- Work done by 1 man in 1 day = 1/x

Work Done by Children and Men Together:
- Work done by 8 children and 12 men in 1 day = 8*(1/(2x)) + 12*(1/x) = 1/9

Solving the Equation:
8/(2x) + 12/x = 1/9
4/x + 12/x = 1/9
16/x = 1/9
x = 144

Time taken by 12 Men to complete the work:
Therefore, time taken by 12 men to complete the work = 144 days.
Explore Courses for UPSC exam

Top Courses for UPSC

Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work?
Question Description
Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work?.
Solutions for Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? defined & explained in the simplest way possible. Besides giving the explanation of Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work?, a detailed solution for Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? has been provided alongside types of Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? theory, EduRev gives you an ample number of questions to practice Eight children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work. in how many days will 12 men finish the same work? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev