Railways Exam  >  Railways Questions  >   3 men can complete a piece of work in 6 days... Start Learning for Free
3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?
  • a)
    3 days
  • b)
    5 days
  • c)
    2 days
  • d)
    4 days
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
3 men can complete a piece of work in 6 days. 5 women can complete th...
3x6 men = 5x18 women
⇒ 1 man = 5 women
4 men + 10 women = 6 men
M1D1 = M2D2
⇒ 3x6 = 6D2
⇒ D2 = 3 days
View all questions of this test
Most Upvoted Answer
3 men can complete a piece of work in 6 days. 5 women can complete th...

Given Information:
- 3 men can complete a work in 6 days
- 5 women can complete the same work in 18 days

Calculating Work Rate:
Let's first calculate the work rate of each man and each woman:
- Work done by 3 men in 1 day = 1/6
- Work done by 1 man in 1 day = 1/(3*6) = 1/18
- Work done by 5 women in 1 day = 1/18
- Work done by 1 woman in 1 day = 1/(5*18) = 1/90

Calculating Combined Work Rate:
Now, let's calculate the combined work rate of 4 men and 10 women:
- Combined work rate of 4 men = 4*(1/18) = 4/18
- Combined work rate of 10 women = 10*(1/90) = 10/90

Calculating Time taken to complete the work:
Let x be the number of days required for 4 men and 10 women to complete the work:
- (4/18 + 10/90)*x = 1
- (4/18 + 1/9)*x = 1
- (2/9)*x = 1
- x = 9/2 = 4.5 days

Therefore, 4 men and 10 women together will complete the work in 4.5 days, which can be approximated to 5 days. So, the correct answer is option 'A' - 5 days.
Explore Courses for Railways exam
3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer?
Question Description
3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer?.
Solutions for 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways. Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?a)3 daysb)5 daysc)2 daysd)4 daysCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Railways tests.
Explore Courses for Railways exam

Top Courses for Railways

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