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18 Sep 2024, 07:02
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
66% (02:48) correct
34%
(02:53)
wrong
based on 114
sessions
History
Date
Time
Result
Not Attempted Yet
Working 11 hours per day, 24 men and 33 women can complete the construction of a road in 78 days. The working capacity of 3 women equals to that of 1 man. Now the authority decides that the road is to be constructed in 55 days, working 13 hours per day. If there are only 27 women present, how many men will be needed?
A. 33
B. 45
C. 87
D. 99
E. None
A. 33
B. 45
C. 87
D. 99
E. None
18 Sep 2024, 19:03
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Siam98
24 men and 33 women put efforts for 11 hrs per day for 78 days to complete construction of a road
So to construct a road,
(24 men + 33 women) X 11 X 78 person hrs required
3 women equals 1 men in terms of working capacity (given)
so, 33 women equals 11 men,
35 X 11 X 78 man hours required to complete the road
Now, 27 women are present, which is equal to 9 men
and 13 hrs for 55 days working time is allocated
Efforts = (x+9) X 13 X 55 man hours, x is no of extra men required
(x+9) X 13 X 55 = 35 X 11 X 78
x = 33
Correct Option: A
18 Sep 2024, 19:53
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Harsha
GMAT Tutor | Passionate about the GMAT Space | gmatanchor.com
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