How Long Will 8 Men and 16 Women Take to Finish The Work?

If 12 men or 18 women can do a piece of work in 14 days, How long will 8 men and 16 women take to  finish the work?

  1. 9 days
  2. 12 days
  3. 13 days
  4. 10 days
mahendra Default Asked on 25th July 2015 in Maths.
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1 Answer(s)

Answer: (1) 9 days
Explanation:-
18 women = 12 men
1 woman = 12/18 men = 2/3 men
Formula-
M1 D1 = M2 D2
Where, M = numbers of men  & D = number of days
Here, M1 = 12 men, M2 = 8 men  + 16 x 2/3 = 32/3 + 8 = 56/3 , D1 = 14 days  & D2 = ?
Then, 12 x 14 = 56/3 x ?
? = 12 x 14 x 3/56
? = 3 x 3 = 9 days
Hence the answer is (1) 9 days.

Anurag Mishra Professor Answered on 25th July 2015.
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