Find The Original Number of Men

A certain number of men can do a piece of work in 40 days. If there were 45 men more the work could have been finished in 25 days. Find the original number of men employed in the work

  1. 70
  2. 85
  3. 65
  4. 75
Abdul Salam Newbie Asked on 21st July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 75
    Explanation:-
    Let be the number of men = X
    X men can do a piece of work = 40 days
    45 men more the work could have been finished = 25 days.
    Formula-
    M1 D1 = M2D2
    Where, M = number of men & D = number of day.
    Here, M1 = X , M2 = (X +  45), D1 = 40  & D2 = 25
    Put the values in formula-
    X x 40 = (X + 45) x 25
    40 X = 25 X + 45 x 25
    40 X – 25 X = 45 x 25
    15 X = 45 x 25
    X = 45 x 25 /15
    X = 75
    Hence, the answer is (4) 75.

    Anurag Mishra Professor Answered on 21st July 2015.
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