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3 men and 18 children together take 2 days to complete a piece of work. How many days will 18 children alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?
- a)9
- b)7
- c)6
- d)3
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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3 men and 18 children together take 2 days to complete a piece of work...
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3 men and 18 children together take 2 days to complete a piece of work...
Given information:
- 3 men and 18 children together take 2 days to complete a piece of work.
- 6 men alone can complete the piece of work in 3 days.
To find:
- How many days will 18 children alone take to complete the piece of work?
Let's solve this problem step by step.
Step 1: Find the work done by the combined efforts of 3 men and 18 children in 1 day.
- We know that 3 men and 18 children together take 2 days to complete the work.
- So, in 1 day, they will complete 1/2 of the work.
- Therefore, the work done by the combined efforts of 3 men and 18 children in 1 day is 1/2.
Step 2: Find the work done by 6 men alone in 1 day.
- We are given that 6 men alone can complete the work in 3 days.
- So, in 1 day, 6 men will complete 1/3 of the work.
- Therefore, the work done by 6 men alone in 1 day is 1/3.
Step 3: Find the work done by 18 children alone in 1 day.
- Let's assume the work done by 18 children alone in 1 day is x.
- From step 1, we know that the work done by the combined efforts of 3 men and 18 children in 1 day is 1/2.
- So, the work done by 3 men in 1 day is 1/2 - x (as the remaining work will be done by the children).
- We also know from step 2 that the work done by 6 men alone in 1 day is 1/3.
- Equating the work done by 3 men and 6 men, we get:
1/2 - x = 1/3
Simplifying the equation, we get:
x = 1/6
Step 4: Find the number of days required for 18 children alone to complete the work.
- We know from step 3 that the work done by 18 children alone in 1 day is 1/6.
- Therefore, 18 children alone will complete the work in 6 days.
Hence, the correct answer is option D) 6.
- 3 men and 18 children together take 2 days to complete a piece of work.
- 6 men alone can complete the piece of work in 3 days.
To find:
- How many days will 18 children alone take to complete the piece of work?
Let's solve this problem step by step.
Step 1: Find the work done by the combined efforts of 3 men and 18 children in 1 day.
- We know that 3 men and 18 children together take 2 days to complete the work.
- So, in 1 day, they will complete 1/2 of the work.
- Therefore, the work done by the combined efforts of 3 men and 18 children in 1 day is 1/2.
Step 2: Find the work done by 6 men alone in 1 day.
- We are given that 6 men alone can complete the work in 3 days.
- So, in 1 day, 6 men will complete 1/3 of the work.
- Therefore, the work done by 6 men alone in 1 day is 1/3.
Step 3: Find the work done by 18 children alone in 1 day.
- Let's assume the work done by 18 children alone in 1 day is x.
- From step 1, we know that the work done by the combined efforts of 3 men and 18 children in 1 day is 1/2.
- So, the work done by 3 men in 1 day is 1/2 - x (as the remaining work will be done by the children).
- We also know from step 2 that the work done by 6 men alone in 1 day is 1/3.
- Equating the work done by 3 men and 6 men, we get:
1/2 - x = 1/3
Simplifying the equation, we get:
x = 1/6
Step 4: Find the number of days required for 18 children alone to complete the work.
- We know from step 3 that the work done by 18 children alone in 1 day is 1/6.
- Therefore, 18 children alone will complete the work in 6 days.
Hence, the correct answer is option D) 6.
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3 men and 18 children together take 2 days to complete a piece of work. How many days will 18 children alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?a)9b)7c)6d)3e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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3 men and 18 children together take 2 days to complete a piece of work. How many days will 18 children alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?a)9b)7c)6d)3e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 3 men and 18 children together take 2 days to complete a piece of work. How many days will 18 children alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?a)9b)7c)6d)3e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 men and 18 children together take 2 days to complete a piece of work. How many days will 18 children alone take to complete the piece of work, if 6 men alone can complete the piece of work in 3 days?a)9b)7c)6d)3e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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