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16 Apr 2010, 19:28
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15 men or 24 women or 36 boys do x work in 96 hrs ( working seperately)
how many no of men need to be added to 12 women and 6 boys to complete a work 2.25 times x in 180 hrs.
a) 10 b) 15 c) 8 d) 12 e) none of these
how many no of men need to be added to 12 women and 6 boys to complete a work 2.25 times x in 180 hrs.
a) 10 b) 15 c) 8 d) 12 e) none of these
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Updated on: 16 Apr 2010, 21:14
Originally posted by lprassanth on 16 Apr 2010, 20:52.
Last edited by lprassanth on 16 Apr 2010, 21:14, edited 2 times in total.
Last edited by lprassanth on 16 Apr 2010, 21:14, edited 2 times in total.
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Do notice that all given numbers are divisible by 3.
So the question might as well read:
5 men or 8 women or 12 boys do x work in 32 hrs ( working seperately)
how many no of men need to be added to 4 women and 2 boys to complete a work 2.25 times x in 60 hrs.
You will just have to multiply the result you get by 3, to arrive at the answer to the question.
So the question might as well read:
5 men or 8 women or 12 boys do x work in 32 hrs ( working seperately)
how many no of men need to be added to 4 women and 2 boys to complete a work 2.25 times x in 60 hrs.
You will just have to multiply the result you get by 3, to arrive at the answer to the question.
16 Apr 2010, 21:02
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Total men required for work \(x\) to be completed in \(96 hours\) = \(15\)
Total men required for work \(2.25*x\) to be completed in \(180 hours\) = \(15*2.25* \frac{96}{180}\) = \(18\)
So \(18 men\) are required in total to complete to work.
The idea now, is to find the relationship between (Men & Women) and (Men and boys).
As per the 1st statement 1 woman's work = \(\frac{15}{24}\) th of a man's
As per the 1st statement 1 boy's work = \(\frac{15}{36}\) th of a man's
The work is finally completed by M men + 12 Women + 6 Boys
So \(18 = M + 12*\frac{15}{24} + 6*\frac{15}{36}\)
\(18 = M + 7.5 + 2.5\)
So \(M = 8\)
8 Men are required.
Total men required for work \(2.25*x\) to be completed in \(180 hours\) = \(15*2.25* \frac{96}{180}\) = \(18\)
So \(18 men\) are required in total to complete to work.
The idea now, is to find the relationship between (Men & Women) and (Men and boys).
As per the 1st statement 1 woman's work = \(\frac{15}{24}\) th of a man's
As per the 1st statement 1 boy's work = \(\frac{15}{36}\) th of a man's
The work is finally completed by M men + 12 Women + 6 Boys
So \(18 = M + 12*\frac{15}{24} + 6*\frac{15}{36}\)
\(18 = M + 7.5 + 2.5\)
So \(M = 8\)
8 Men are required.
