How Many more Men Needed for Complete Work in 24 days? If

20 men complete one-third of a work in 20 days. How many more men should be employed to finish the rest of work in 24 more days?

  1. 15
  2. 12
  3. 18
  4. 25
Desire Adnan Default Asked on 3rd August 2015 in Maths.
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1 Answer(s)

Answer: (2) 12
Explanation:-
Let the age of X men more are employed  for the rest work.
Given-
20 men can complete one-third of work = 20 days
M 1 = 20 , M 2 = (20 + X), D 1 = 20  & D 2 = 25
Formula-
M 1 x D 1 W 1 = M 2 x D 2 x W 2
Where, M  = number of men, W = work  &  D = number days.
Then, 20 x 20 x 2/3 = 25 x (20 + X) x 1/3
800 = 500 + 25 X
25 X = 800 – 500
25 X =  300
X  = 300/25
X = 12
Hence, the answer is (2) 12.

Anurag Mishra Professor Answered on 3rd August 2015.
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