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A group of 5 equally efficient men together take 20 hours to finish a
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13 Oct 2023, 08:08
13 Oct 2023, 08:08
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A group of 5 equally efficient men together take 20 hours to finish a job. 8 men and 3 women take 10 hours to complete the same job. Each man works at an identical rate and each woman works at an identical rate.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Efficiency of doing work of a man |
Efficiency of doing work of a woman |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: A group of 5 equally efficient men together take 20 hours to finish a
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08 Dec 2023, 02:13
08 Dec 2023, 02:13
Expert Reply
A group of 5 equally efficient men together take 20 hours to finish a
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Updated on: 11 Dec 2023, 04:08
Updated on: 11 Dec 2023, 04:08
2
Let us assume that the work rate of a man (efficiency) is m and that of a woman is w, let the work done be s
While 5 men work, they take 20 hours to complete the work, so work=work rate*no. of workers*time, s=20*5*m
While 8 men and 3 women work together, they take 10 hours to complete the same work, so s=10*(8*m+3*w)
equating both, 20*5*m=10*(8*m+3*w)
20m=30w, m/w=1.5
Thus, the ratio is skewed in favour of men, that is the efficiency of a man is 1.5 times that of a woman, so the answer is A
While 5 men work, they take 20 hours to complete the work, so work=work rate*no. of workers*time, s=20*5*m
While 8 men and 3 women work together, they take 10 hours to complete the same work, so s=10*(8*m+3*w)
equating both, 20*5*m=10*(8*m+3*w)
20m=30w, m/w=1.5
Thus, the ratio is skewed in favour of men, that is the efficiency of a man is 1.5 times that of a woman, so the answer is A
Originally posted by VishalKrishnan on 10 Dec 2023, 09:49.
Last edited by VishalKrishnan on 11 Dec 2023, 04:08, edited 2 times in total.
Last edited by VishalKrishnan on 11 Dec 2023, 04:08, edited 2 times in total.
