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Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
- a)3 days
- b)4 days
- c)6 days
- d)12 days
Correct answer is option 'A'. Can you explain this answer?
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Some persons can do a piece of work in 12 days. Two times the number o...
Understanding the Problem
To solve the problem, we first need to establish the work capacity of the people involved.
Step 1: Calculate Work Done by One Person
- If a certain number of people can complete a piece of work in 12 days, we can assume that one person will take 12 times longer to complete the same work.
- Therefore, if the total work is represented as W, one person will take 12 * N days (where N is the number of people) to complete W.
Step 2: Calculate Work Capacity of Two Times the People
- Doubling the number of people means the work capacity doubles.
- If N people complete the work in 12 days, then 2N people will complete the same work in 12/2 = 6 days.
Step 3: Determine Half the Work
- The problem states that 2N people need to complete half of the work.
- Since we established that 2N people can complete the whole work in 6 days, they would take half of that time to complete half the work.
Final Calculation
- Therefore, half the work would take 6/2 = 3 days for 2N people.
Conclusion
- Thus, the correct answer is that two times the number of people will complete half the work in 3 days.
So, the answer is option A.
To solve the problem, we first need to establish the work capacity of the people involved.
Step 1: Calculate Work Done by One Person
- If a certain number of people can complete a piece of work in 12 days, we can assume that one person will take 12 times longer to complete the same work.
- Therefore, if the total work is represented as W, one person will take 12 * N days (where N is the number of people) to complete W.
Step 2: Calculate Work Capacity of Two Times the People
- Doubling the number of people means the work capacity doubles.
- If N people complete the work in 12 days, then 2N people will complete the same work in 12/2 = 6 days.
Step 3: Determine Half the Work
- The problem states that 2N people need to complete half of the work.
- Since we established that 2N people can complete the whole work in 6 days, they would take half of that time to complete half the work.
Final Calculation
- Therefore, half the work would take 6/2 = 3 days for 2N people.
Conclusion
- Thus, the correct answer is that two times the number of people will complete half the work in 3 days.
So, the answer is option A.
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Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?a)3 daysb)4 daysc)6 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer?
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