Quant Exam  >  Quant Questions  >  The work done by a woman in 8 hours is equal ... Start Learning for Free
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?
  • a)
    21 1/2 days
  • b)
    11 1/2 days
  • c)
    31 1/2 days
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The work done by a woman in 8 hours is equal to the work done by a man...
Given: 8 women = 6 Men = 12 Boys
=> 12 Men + 12 Women + 12 Boys
= 12 Men + 9 Men + 6 Men = 27 Men
We have, M1 = 9, D1= 6, t1 = 6, W1 = 1
M2 = 27, D2 = ?, t2 = 8, W2 = 1
M1D1T1W2 = M2D2T2W1
9 - 6 - 6 -  1 = 27-  D2 - 8 - 1
=> D2 = 3/2 days or, 1 1/2
View all questions of this test
Most Upvoted Answer
The work done by a woman in 8 hours is equal to the work done by a man...
Given information:
- Work done by a woman in 8 hours = Work done by a man in 6 hours = Work done by a boy in 12 hours
- 6 hours of work per day by 9 men can complete a work in 6 days

Let's assume that the total work is 1 unit. Then,
- Work done by a woman in 1 hour = 1/8
- Work done by a man in 1 hour = 1/6
- Work done by a boy in 1 hour = 1/12

Now, we need to find out how many days it will take for 12 men, 12 women, and 12 boys working 8 hours per day to complete the same work.

Calculation:
Let's first calculate the work done by 12 men in 1 day.
- Work done by 1 man in 1 day (8 hours) = (1/6) x 8 = 4/3
- Work done by 12 men in 1 day = 12 x (4/3) = 16

Similarly, let's calculate the work done by 12 women and 12 boys in 1 day.
- Work done by 12 women in 1 day = 12 x (1/8) x 8 = 12/1 = 12
- Work done by 12 boys in 1 day = 12 x (1/12) x 8 = 8

Total work done by 12 men, 12 women, and 12 boys in 1 day = 16 + 12 + 8 = 36

Now, let's find out how many days it will take for them to complete the total work.
- Work done by them in 1 day = 36
- Total work = 1
- Number of days required = Total work / Work done in 1 day = 1/36
- Number of hours required = 1/36 x 8 = 2/9

Therefore, 12 men, 12 women, and 12 boys working 8 hours per day can complete the work in 2/9 days.

Converting into mixed fraction:
2/9 = 0.2222...
= 0.2 + 0.0222...
= 2/10 + 2/90
= 20/100 + 2/90
= 22/90
= 11/45

So, the answer is 11 1/2 days, which is option (b).
Explore Courses for Quant exam
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?a)21 1/2 daysb)111/2daysc)311/2daysd)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
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