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If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man?
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If 5 men and 5 women work together then they can finish a work in 5 da...
Given Data
- 5 men and 5 women can complete the work in 5 days.
- 5 women take 3 more days than 5 men to finish the same work.
Calculating Work Done
- Total work can be represented in terms of man-days or woman-days.
- If 5 men and 5 women complete the work in 5 days:
- Total work = (5 men + 5 women) * 5 days
- Let the efficiency of one man be M and that of one woman be W.
- Therefore, the total work is:
- Work = (5M + 5W) * 5 = 25M + 25W
Finding Individual Efficiencies
- Let the time taken by 5 men be T days.
- Hence, the time taken by 5 women is T + 3 days.
- Therefore, for 5 men:
- Work = 5M * T
- And for 5 women:
- Work = 5W * (T + 3)
Setting Equations
- Equate the total work:
- 25M + 25W = 5MT
- 25M + 25W = 5W(T + 3)
Solving for Efficiency
- From the equations, we find a relationship between M and W.
- After solving, we find:
- W = M * (3/8)
Calculating Percentage Difference
- To find how much less the efficiency of one woman is than one man:
- Difference = M - W
- Percentage less = [(M - W) / M] * 100
- Substitute W:
- Percentage less = [(M - (3/8)M) / M] * 100 = 37.5%
Conclusion
- The efficiency of one woman is 37.5% less than that of one man.
- 5 men and 5 women can complete the work in 5 days.
- 5 women take 3 more days than 5 men to finish the same work.
Calculating Work Done
- Total work can be represented in terms of man-days or woman-days.
- If 5 men and 5 women complete the work in 5 days:
- Total work = (5 men + 5 women) * 5 days
- Let the efficiency of one man be M and that of one woman be W.
- Therefore, the total work is:
- Work = (5M + 5W) * 5 = 25M + 25W
Finding Individual Efficiencies
- Let the time taken by 5 men be T days.
- Hence, the time taken by 5 women is T + 3 days.
- Therefore, for 5 men:
- Work = 5M * T
- And for 5 women:
- Work = 5W * (T + 3)
Setting Equations
- Equate the total work:
- 25M + 25W = 5MT
- 25M + 25W = 5W(T + 3)
Solving for Efficiency
- From the equations, we find a relationship between M and W.
- After solving, we find:
- W = M * (3/8)
Calculating Percentage Difference
- To find how much less the efficiency of one woman is than one man:
- Difference = M - W
- Percentage less = [(M - W) / M] * 100
- Substitute W:
- Percentage less = [(M - (3/8)M) / M] * 100 = 37.5%
Conclusion
- The efficiency of one woman is 37.5% less than that of one man.
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If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man?
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If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man?.
If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5 men and 5 women work together then they can finish a work in 5 days but if 5 women 40 work alone then they take 3 more days than the time required by 5 men. Find efficiency of one woman is how much percentage less than one man?.
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