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If 8 men working together at 10 hours per day take 12 days to complete
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24 Apr 2023, 05:20
24 Apr 2023, 05:20
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Question Stats:
85% (01:22) correct
14% (02:01) wrong based on 14 sessions
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If 8 men working together at 10 hours per day take 12 days to complete the work, then how many days are required for 4 men working together at 16 hours to complete the same work? (Assuming efficiency remains constant)
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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: If 8 men working together at 10 hours per day take 12 days to complete
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03 May 2023, 08:40
03 May 2023, 08:40
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Expert Reply
Let's assume that the total work is represented by W. Therefore, the work done by 8 men working for 10 hours in a day for 12 days can be written as:
W = 8 x 10 x 12 = 960
Now, let's assume that 4 men working for 16 hours a day take d days to complete the same work. Therefore, we can write:
4 x 16 x d = 960
Simplifying the above equation, we get:
d = 960 / 64 = 15
Therefore, it will take 4 men working for 16 hours a day 15 days to complete the same work.
Hence, the correct answer is option (A) 15.
W = 8 x 10 x 12 = 960
Now, let's assume that 4 men working for 16 hours a day take d days to complete the same work. Therefore, we can write:
4 x 16 x d = 960
Simplifying the above equation, we get:
d = 960 / 64 = 15
Therefore, it will take 4 men working for 16 hours a day 15 days to complete the same work.
Hence, the correct answer is option (A) 15.
gmatclubot
Re: If 8 men working together at 10 hours per day take 12 days to complete [#permalink]
03 May 2023, 08:40
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