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3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?
- a)9
- b)7
- c)5
- d)6
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
3 women and 18 children together take 2 days to complete a piece of wo...
Since, 3 women + 18 children complete work in 2 days. Therefore, (3×2) women + (18×2) children complete
work in 1 day i.e., 6 women + 36 children complete work in 1 day.
Work of 36 children for 1 day = 
[Work of 6 women for 1 day= 1/3]
∴ 36 children do 2/3 part of the work in 1 day.
36 children can do the work in 3/2 days.
9 children can do the work in
days.
[Work of 6 women for 1 day= 1/3]∴ 36 children do 2/3 part of the work in 1 day.
36 children can do the work in 3/2 days.
9 children can do the work in
days. Most Upvoted Answer
3 women and 18 children together take 2 days to complete a piece of wo...
Given:
- 3 women and 18 children together take 2 days to complete a piece of work
- 6 women alone can complete the piece of work in 3 days
To find:
- How many days will 9 children alone take to complete the piece of work?
Solution:
Let us first find the work done by 1 woman in 1 day and the work done by 1 child in 1 day.
- Let the work done by 1 woman in 1 day be w.
- Let the work done by 1 child in 1 day be c.
From the given information,
- 3 women + 18 children together take 2 days to complete the work.
- So, in 1 day, they will complete 1/2 of the work.
- We can express this as:
3w + 18c = 1/2
- Also, 6 women alone can complete the work in 3 days.
- So, in 1 day, they will complete 1/18 of the work.
- We can express this as:
6w = 1/3
w = 1/18
Substituting the value of w in the first equation, we get:
3(1/18) + 18c = 1/2
1/6 + 18c = 1/2
18c = 1/2 - 1/6
18c = 1/3
c = 1/54
So, the work done by 1 child in 1 day is 1/54.
Now, let us find the number of days required for 9 children to complete the work.
- Let the number of days required be d.
- From the given information, we know that the total work done is the same in both cases (when 3 women + 18 children work together and when 9 children work alone).
- So, we can write:
(3w + 18c) x 2 = 9c x d
Substituting the values of w and c, we get:
(3 x 1/18 + 18 x 1/54) x 2 = 9 x 1/54 x d
Simplifying, we get:
d = 6
Therefore, 9 children alone will take 6 days to complete the work. Hence, the correct option is (D).
- 3 women and 18 children together take 2 days to complete a piece of work
- 6 women alone can complete the piece of work in 3 days
To find:
- How many days will 9 children alone take to complete the piece of work?
Solution:
Let us first find the work done by 1 woman in 1 day and the work done by 1 child in 1 day.
- Let the work done by 1 woman in 1 day be w.
- Let the work done by 1 child in 1 day be c.
From the given information,
- 3 women + 18 children together take 2 days to complete the work.
- So, in 1 day, they will complete 1/2 of the work.
- We can express this as:
3w + 18c = 1/2
- Also, 6 women alone can complete the work in 3 days.
- So, in 1 day, they will complete 1/18 of the work.
- We can express this as:
6w = 1/3
w = 1/18
Substituting the value of w in the first equation, we get:
3(1/18) + 18c = 1/2
1/6 + 18c = 1/2
18c = 1/2 - 1/6
18c = 1/3
c = 1/54
So, the work done by 1 child in 1 day is 1/54.
Now, let us find the number of days required for 9 children to complete the work.
- Let the number of days required be d.
- From the given information, we know that the total work done is the same in both cases (when 3 women + 18 children work together and when 9 children work alone).
- So, we can write:
(3w + 18c) x 2 = 9c x d
Substituting the values of w and c, we get:
(3 x 1/18 + 18 x 1/54) x 2 = 9 x 1/54 x d
Simplifying, we get:
d = 6
Therefore, 9 children alone will take 6 days to complete the work. Hence, the correct option is (D).
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3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?a)9b)7c)5d)6Correct answer is option 'D'. Can you explain this answer?
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3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?a)9b)7c)5d)6Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about 3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?a)9b)7c)5d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days?a)9b)7c)5d)6Correct answer is option 'D'. Can you explain this answer?.
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