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02 Feb 2021, 08:45
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:45) correct
31%
(03:07)
wrong
based on 280
sessions
History
Date
Time
Result
Not Attempted Yet
A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 6 men and 10 women in
(A) 1 day
(B) 2 days
(C) 7/2 days
(D) 9/2 days
(E) 5 days
(A) 1 day
(B) 2 days
(C) 7/2 days
(D) 9/2 days
(E) 5 days
02 Feb 2021, 23:20
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Bunuel
6 men and 5 women take 6 days. So to complete in 1 day, we need 36 men and 30 women.
3 men and 4 women taken 10 days. So to complete in 1 day, we need 30 men and 40 women
So 36 men + 30 women = 30 men + 40 women
So 3 men = 5 women
6 men and 5 women take 6 days. So 6 men + 3 men = 9 men take 6 days
How long will 6 men and 10 women take? i.e. how long will 6 men + 6 men = 12 men take?
12 men will take 6 days * (9/12) = 9/2 days
Answer (D)
globaldesi
Joined: 28 Jul 2016
Last visit: 23 Feb 2026
Posts: 1,141
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Finance: Investment Banking)
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02 Feb 2021, 22:27
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Let days taken by men be m
and by women be w
so
\(\frac{6}{m}+\frac{5}{w} = \frac{1}{6}\) ----------(1)
\(\frac{3}{m} + \frac{4}{w} = \frac{1}{10}\)
solve for w and m from both equations
where w = 90 and m = 54
asked question is :
\(\frac{6}{54}+\frac{10}{90} = \frac{1}{x}\)
\(x = \frac{9}{2}\)
D IMO
and by women be w
so
\(\frac{6}{m}+\frac{5}{w} = \frac{1}{6}\) ----------(1)
\(\frac{3}{m} + \frac{4}{w} = \frac{1}{10}\)
solve for w and m from both equations
where w = 90 and m = 54
asked question is :
\(\frac{6}{54}+\frac{10}{90} = \frac{1}{x}\)
\(x = \frac{9}{2}\)
D IMO
