How Many Men Were There Originally ?

Some staff promised to do a job in 18 days, but 6 of them went on leave. So the remaining men took 20 days to complete the job. How many men were there originally ?

  1. 55
  2. 62
  3. 56
  4. 60
Abdul Salam Newbie Asked on 21st July 2015 in Maths.
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1 Answer(s)

Answer: (4) 60
Explanation:-
Let be the number of men in a staff = X
X men can do job complete = 18 days.
But 6 of them went on leave,
Then, remaining men took 20 days to complete the job.
then, number of men (X – 6) .
Formula-
M1 D1 = M2D2
Where, M = number of men & D = number of day.

Here, M1 = X , M2 = (X – 6), D1 = 18  & D2 = 20
Put the values in formula-
X x 18 = (X – 6 ) x 20
18 X = 20 X – 120
18 X – 20 X = – 120
– 2 X = – 120
X = 120/2
X = 60
Hence, there were 60 men there originally.

Anurag Mishra Professor Answered on 21st July 2015.
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