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A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?
- a)1 day
- b)3 days
- c)2 days
- d)4 days
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A piece of work can be completed in 2 days by 4 men. 4 women can comp...
4M → 2 days
1M → 8 days
1/8 = 1 day's work (M)
4W → 4 days
1W → 16 days
1/16 = 1 day's work (W)
5C → 4 days
1C → 20 days
1/20 = 1 day's work (C)
t = 1 day
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Community Answer
A piece of work can be completed in 2 days by 4 men. 4 women can comp...
Understanding Work Rates
To solve the problem, we need to first determine the work rates of men, women, and children.
Work Rate of Men
- 4 men can complete the work in 2 days.
- Work done by 4 men in 1 day = 1/2 (work units).
- Therefore, work done by 1 man in 1 day = (1/2) / 4 = 1/8.
Work Rate of Women
- 4 women can complete the work in 4 days.
- Work done by 4 women in 1 day = 1/4.
- Therefore, work done by 1 woman in 1 day = (1/4) / 4 = 1/16.
Work Rate of Children
- 5 children can complete the work in 4 days.
- Work done by 5 children in 1 day = 1/4.
- Therefore, work done by 1 child in 1 day = (1/4) / 5 = 1/20.
Combined Work Rate of 2 Men, 4 Women, and 10 Children
- Work done by 2 men in 1 day = 2 * (1/8) = 1/4.
- Work done by 4 women in 1 day = 4 * (1/16) = 1/4.
- Work done by 10 children in 1 day = 10 * (1/20) = 1/2.
Total Work Done in 1 Day
- Total work done by 2 men, 4 women, and 10 children in 1 day:
- (1/4) + (1/4) + (1/2) = 1/4 + 1/4 + 2/4 = 4/4 = 1.
Conclusion
- Since the total work done in one day is equal to 1, the entire work can be completed in **1 day** when 2 men, 4 women, and 10 children work together.
Thus, the correct answer is option 'A'.
To solve the problem, we need to first determine the work rates of men, women, and children.
Work Rate of Men
- 4 men can complete the work in 2 days.
- Work done by 4 men in 1 day = 1/2 (work units).
- Therefore, work done by 1 man in 1 day = (1/2) / 4 = 1/8.
Work Rate of Women
- 4 women can complete the work in 4 days.
- Work done by 4 women in 1 day = 1/4.
- Therefore, work done by 1 woman in 1 day = (1/4) / 4 = 1/16.
Work Rate of Children
- 5 children can complete the work in 4 days.
- Work done by 5 children in 1 day = 1/4.
- Therefore, work done by 1 child in 1 day = (1/4) / 5 = 1/20.
Combined Work Rate of 2 Men, 4 Women, and 10 Children
- Work done by 2 men in 1 day = 2 * (1/8) = 1/4.
- Work done by 4 women in 1 day = 4 * (1/16) = 1/4.
- Work done by 10 children in 1 day = 10 * (1/20) = 1/2.
Total Work Done in 1 Day
- Total work done by 2 men, 4 women, and 10 children in 1 day:
- (1/4) + (1/4) + (1/2) = 1/4 + 1/4 + 2/4 = 4/4 = 1.
Conclusion
- Since the total work done in one day is equal to 1, the entire work can be completed in **1 day** when 2 men, 4 women, and 10 children work together.
Thus, the correct answer is option 'A'.
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A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. 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 A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. 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 A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. 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 A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. 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 A piece of work can be completed in 2 days by 4 men. 4 women can complete the same piece of work in 4 days, whereas, 5 children can complete the same piece of work in 4 days. If 2 men, 4 women and 10 children work together, in how many days can the work be completed?a)1 dayb)3 daysc)2 daysd)4 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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