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8 men and 12 women together can complete a work in 24 days. Each woman is two- third as efficient as each man. If six men and nine women started the work and after 8 days two men left and three women joined, in how many days can the remaining work be completed?
- a)25
- b)24
- c)10
- d)17
- e)18
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
8 men and 12 women together can complete a work in 24 days. Each woman...
Women= 2/3 men
3 women = 2 men
Men/ women= 3/2
Total work = (8*3+12*2)*24= 1152 units
Work done by 6 men and 9 women in 8 days = (6*3+ 9*2)*8= 288 units
Work remaining= 1152-288= 864 units
Now,
One day work by 4 men and 12 women= (4*3 + 12*2) = 36 units
So,
Time required to complete remaining work= 864/36= 24 days
3 women = 2 men
Men/ women= 3/2
Total work = (8*3+12*2)*24= 1152 units
Work done by 6 men and 9 women in 8 days = (6*3+ 9*2)*8= 288 units
Work remaining= 1152-288= 864 units
Now,
One day work by 4 men and 12 women= (4*3 + 12*2) = 36 units
So,
Time required to complete remaining work= 864/36= 24 days
Most Upvoted Answer
8 men and 12 women together can complete a work in 24 days. Each woman...
Given Information:
- 8 men and 12 women together can complete a work in 24 days.
- Each woman is two-thirds as efficient as each man.
To solve this problem, we first need to calculate the efficiency ratio between men and women.
Efficiency Ratio:
Since each woman is two-thirds as efficient as each man, we can say that the efficiency ratio between men and women is 3:2. This means that for every 3 units of work done by a man, 2 units of work are done by a woman.
Calculating the Work Rate:
Let's assume the work rate of a man to be "x" units per day. Therefore, the work rate of a woman would be (2/3)x units per day.
Now, let's calculate the total work done by the 8 men and 12 women working together in 1 day.
Total work done by men in 1 day = 8x units
Total work done by women in 1 day = 12(2/3)x = 8x units
Since the total work done by both men and women is equal, we can say that the work rate of the men and women combined is 16x units per day.
Calculating the Total Work:
Since the men and women together can complete the work in 24 days, the total work can be calculated as:
Total work = Work rate * Time
Total work = 16x * 24 = 384x units
Calculating the Work Done in 8 Days:
In the first 8 days, 6 men and 9 women started the work. Let's calculate the work done by them in these 8 days.
Work done by 6 men in 8 days = 6x * 8 = 48x units
Work done by 9 women in 8 days = 9(2/3)x * 8 = 48x units
Total work done in 8 days = 48x + 48x = 96x units
Calculating the Remaining Work:
To calculate the remaining work, we subtract the work done in 8 days from the total work.
Remaining work = Total work - Work done in 8 days
Remaining work = 384x - 96x = 288x units
Calculating the Time to Complete the Remaining Work:
Now, after 8 days, 2 men left and 3 women joined. Let's calculate the work rate of the remaining men and women.
Remaining work rate of men = 6x - 2x = 4x units per day
Remaining work rate of women = 9(2/3)x + 3(2/3)x = 8x units per day
Total work rate of remaining men and women = 4x + 8x = 12x units per day
To calculate the time required to complete the remaining work, we divide the remaining work by the total work rate of the remaining men and women.
Time to complete the remaining work = Remaining work / Total work rate
Time to complete the remaining work = (288x) / (12x) = 24 days
Therefore, the remaining work can be completed in 24 days, which is the correct answer (option B).
- 8 men and 12 women together can complete a work in 24 days.
- Each woman is two-thirds as efficient as each man.
To solve this problem, we first need to calculate the efficiency ratio between men and women.
Efficiency Ratio:
Since each woman is two-thirds as efficient as each man, we can say that the efficiency ratio between men and women is 3:2. This means that for every 3 units of work done by a man, 2 units of work are done by a woman.
Calculating the Work Rate:
Let's assume the work rate of a man to be "x" units per day. Therefore, the work rate of a woman would be (2/3)x units per day.
Now, let's calculate the total work done by the 8 men and 12 women working together in 1 day.
Total work done by men in 1 day = 8x units
Total work done by women in 1 day = 12(2/3)x = 8x units
Since the total work done by both men and women is equal, we can say that the work rate of the men and women combined is 16x units per day.
Calculating the Total Work:
Since the men and women together can complete the work in 24 days, the total work can be calculated as:
Total work = Work rate * Time
Total work = 16x * 24 = 384x units
Calculating the Work Done in 8 Days:
In the first 8 days, 6 men and 9 women started the work. Let's calculate the work done by them in these 8 days.
Work done by 6 men in 8 days = 6x * 8 = 48x units
Work done by 9 women in 8 days = 9(2/3)x * 8 = 48x units
Total work done in 8 days = 48x + 48x = 96x units
Calculating the Remaining Work:
To calculate the remaining work, we subtract the work done in 8 days from the total work.
Remaining work = Total work - Work done in 8 days
Remaining work = 384x - 96x = 288x units
Calculating the Time to Complete the Remaining Work:
Now, after 8 days, 2 men left and 3 women joined. Let's calculate the work rate of the remaining men and women.
Remaining work rate of men = 6x - 2x = 4x units per day
Remaining work rate of women = 9(2/3)x + 3(2/3)x = 8x units per day
Total work rate of remaining men and women = 4x + 8x = 12x units per day
To calculate the time required to complete the remaining work, we divide the remaining work by the total work rate of the remaining men and women.
Time to complete the remaining work = Remaining work / Total work rate
Time to complete the remaining work = (288x) / (12x) = 24 days
Therefore, the remaining work can be completed in 24 days, which is the correct answer (option B).
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8 men and 12 women together can complete a work in 24 days. Each woman is two- third as efficient as each man. If six men and nine women started the work and after 8 days two men left and three women joined, in how many days can the remaining work be completed?a)25b)24c)10d)17e)18Correct answer is option 'B'. Can you explain this answer?
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8 men and 12 women together can complete a work in 24 days. Each woman is two- third as efficient as each man. If six men and nine women started the work and after 8 days two men left and three women joined, in how many days can the remaining work be completed?a)25b)24c)10d)17e)18Correct answer is option 'B'. 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 8 men and 12 women together can complete a work in 24 days. Each woman is two- third as efficient as each man. If six men and nine women started the work and after 8 days two men left and three women joined, in how many days can the remaining work be completed?a)25b)24c)10d)17e)18Correct answer is option 'B'. 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 8 men and 12 women together can complete a work in 24 days. Each woman is two- third as efficient as each man. If six men and nine women started the work and after 8 days two men left and three women joined, in how many days can the remaining work be completed?a)25b)24c)10d)17e)18Correct answer is option 'B'. Can you explain this answer?.
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