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20 men and 35 women can complete a piece of work in 'y' and 'y - 3' days respective while 15 men and 20 women can complete same piece of work in 'x - 4' and 'x' days respectively.If men are 60% more efficient than women then find difference between X and Y.?
Most Upvoted Answer
20 men and 35 women can complete a piece of work in 'y' and 'y - 3' da...
Solution:
Let's assume that the amount of work to be done is 1 unit.
Efficiency of Men and Women:
Since men are 60% more efficient than women, we can say that a man completes 1/1.6 = 0.625 units of work in a day.
Similarly, a woman completes 1 unit of work in a day.
Work done by Men and Women in 'y' and 'y - 3' days:
In 'y' days, 20 men can complete 20*0.625*y = 12.5y units of work.
In 'y - 3' days, 35 women can complete 35*1*(y - 3) = 35y - 105 units of work.
Work done by Men and Women in 'x - 4' and 'x' days:
In 'x - 4' days, 15 men can complete 15*0.625*(x - 4) = 9.375x - 30 units of work.
In 'x' days, 20 women can complete 20*1*x = 20x units of work.
Equating the work done:
Since the work done is the same, we can equate the expressions obtained above.
12.5y = 35y - 105
35y - 12.5y = 105
22.5y = 105
y = 105/22.5
y ≈ 4.67
9.375x - 30 = 20x
20x - 9.375x = 30
10.625x = 30
x = 30/10.625
x ≈ 2.82
Difference between X and Y:
The difference between X and Y is given by X - Y.
X - Y = 2.82 - 4.67
X - Y ≈ -1.85
Therefore, the difference between X and Y is approximately -1.85.
Let's assume that the amount of work to be done is 1 unit.
Efficiency of Men and Women:
Since men are 60% more efficient than women, we can say that a man completes 1/1.6 = 0.625 units of work in a day.
Similarly, a woman completes 1 unit of work in a day.
Work done by Men and Women in 'y' and 'y - 3' days:
In 'y' days, 20 men can complete 20*0.625*y = 12.5y units of work.
In 'y - 3' days, 35 women can complete 35*1*(y - 3) = 35y - 105 units of work.
Work done by Men and Women in 'x - 4' and 'x' days:
In 'x - 4' days, 15 men can complete 15*0.625*(x - 4) = 9.375x - 30 units of work.
In 'x' days, 20 women can complete 20*1*x = 20x units of work.
Equating the work done:
Since the work done is the same, we can equate the expressions obtained above.
12.5y = 35y - 105
35y - 12.5y = 105
22.5y = 105
y = 105/22.5
y ≈ 4.67
9.375x - 30 = 20x
20x - 9.375x = 30
10.625x = 30
x = 30/10.625
x ≈ 2.82
Difference between X and Y:
The difference between X and Y is given by X - Y.
X - Y = 2.82 - 4.67
X - Y ≈ -1.85
Therefore, the difference between X and Y is approximately -1.85.
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20 men and 35 women can complete a piece of work in 'y' and 'y - 3' days respective while 15 men and 20 women can complete same piece of work in 'x - 4' and 'x' days respectively.If men are 60% more efficient than women then find difference between X and Y.?
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20 men and 35 women can complete a piece of work in 'y' and 'y - 3' days respective while 15 men and 20 women can complete same piece of work in 'x - 4' and 'x' days respectively.If men are 60% more efficient than women then find difference between X and Y.? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 20 men and 35 women can complete a piece of work in 'y' and 'y - 3' days respective while 15 men and 20 women can complete same piece of work in 'x - 4' and 'x' days respectively.If men are 60% more efficient than women then find difference between X and Y.? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 men and 35 women can complete a piece of work in 'y' and 'y - 3' days respective while 15 men and 20 women can complete same piece of work in 'x - 4' and 'x' days respectively.If men are 60% more efficient than women then find difference between X and Y.?.
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