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If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is
- a)8
- b)10
- c)12
- d)4
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If 8 men or 12 women can do a piece of work in 10 days, then the numbe...
Given information:
- 8 men can do the work in 10 days.
- 12 women can do the work in 10 days.
To find:
The number of days required by 4 men and 4 women to finish the work.
Solution:
Let's assume that the amount of work to be done is 1 unit.
Efficiency of work:
- 8 men can do the work in 10 days, so the efficiency of 1 man per day is 1/80.
- 12 women can do the work in 10 days, so the efficiency of 1 woman per day is 1/120.
Combined efficiency:
The combined efficiency of 4 men and 4 women can be calculated by adding their individual efficiencies.
Efficiency of 4 men per day = (4 men) * (1/80) = 1/20
Efficiency of 4 women per day = (4 women) * (1/120) = 1/30
Combined efficiency of 4 men and 4 women per day = (1/20) + (1/30) = (3/60) + (2/60) = 5/60 = 1/12
Number of days required by 4 men and 4 women to finish the work:
Since the combined efficiency is 1/12, it means that they can complete 1 unit of work in 12 days.
Therefore, the correct answer is option C) 12.
- 8 men can do the work in 10 days.
- 12 women can do the work in 10 days.
To find:
The number of days required by 4 men and 4 women to finish the work.
Solution:
Let's assume that the amount of work to be done is 1 unit.
Efficiency of work:
- 8 men can do the work in 10 days, so the efficiency of 1 man per day is 1/80.
- 12 women can do the work in 10 days, so the efficiency of 1 woman per day is 1/120.
Combined efficiency:
The combined efficiency of 4 men and 4 women can be calculated by adding their individual efficiencies.
Efficiency of 4 men per day = (4 men) * (1/80) = 1/20
Efficiency of 4 women per day = (4 women) * (1/120) = 1/30
Combined efficiency of 4 men and 4 women per day = (1/20) + (1/30) = (3/60) + (2/60) = 5/60 = 1/12
Number of days required by 4 men and 4 women to finish the work:
Since the combined efficiency is 1/12, it means that they can complete 1 unit of work in 12 days.
Therefore, the correct answer is option C) 12.
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If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work isa)8b)10c)12d)4Correct answer is option 'C'. Can you explain this answer?
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If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work isa)8b)10c)12d)4Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work isa)8b)10c)12d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work isa)8b)10c)12d)4Correct answer is option 'C'. Can you explain this answer?.
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