Quant Exam  >  Quant Questions  >  4 men and 6 women can complete a work in 8 da... Start Learning for Free
4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.
  • a)
    50                            
  • b)
    45
  • c)
    40                            
  • d)
    35
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
4 men and 6 women can complete a work in 8 days while 3 men and 7 wome...
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
Then, 4x + 6y = 1/8
and 3x + 7y = 1/10
Solving the two equations, we get: x = 11/400, y = 1/400
1 woman's 1 day's work = 1/400
10 women's 1 day's work = (1/400)*10 = 1/40
Hence, 10 women will complete the work in 40 days
View all questions of this test
Most Upvoted Answer
4 men and 6 women can complete a work in 8 days while 3 men and 7 wome...
Given information:
- 4 men and 6 women can complete a work in 8 days
- 3 men and 7 women can complete it in 10 days

To find:
- In how many days will 10 women complete the work

Solution:
Let's assume that the work to be done is equal to 1 unit.

From the given information, we can say that:
- 4 men and 6 women can complete 1 unit of work in 8 days
- 1 man can complete 1/32 units of work in 1 day
- 1 woman can complete 1/48 units of work in 1 day

Similarly,
- 3 men and 7 women can complete 1 unit of work in 10 days
- 1 man can complete 1/30 units of work in 1 day
- 1 woman can complete 1/70 units of work in 1 day

Let's calculate the work done by 10 women in 1 day:
- Work done by 1 woman in 1 day = 1/48 units
- Work done by 10 women in 1 day = 10 x (1/48) = 5/24 units

Now, let's calculate the number of days required for 10 women to complete 1 unit of work:
- Work done by 10 women in 1 day = 5/24 units
- Number of days required for 10 women to complete 1 unit of work = 1 / (5/24) = 24/5 = 4.8 days

Therefore, 10 women can complete the work in 4.8 days which can be rounded off to 5 days.

Hence, the correct answer is option (c) 40.
Explore Courses for Quant exam
4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. 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 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. 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 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete the work.a)50b)45c)40d)35e)None of theseCorrect answer is option 'C'. 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