Work done by (x+4) men in (x+5) days in equal to the work done by (x-5) men in (x+20) days :

Work done by (x+4) men in (x+5) days in equal to the work done by (x-5) men in (x+20) days. Then the value of x is

  1. 25
  2. 30
  3. 15
  4. 20
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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1 Answer(s)

Answer: (4)  20

Explanation:-
Formula – 
M1 D1 = M2 D2 
Where, M = number of men & D = Number of days 

Then, (X + 4) (X + 5) = (X – 5) (X + 20)
X^2 + 5 X + 4 X + 20 = X^2 + 20 X – 5 X – 100
9 X + 20 = 15 X – 100
15 X – 9 X = 100  + 20
 6 X = 120 
X = 120/6
X  = 20 

Then, the value of X is 20. 

Hence, the correct answer is option (4) 20. 

Monis Rasool Professor Answered on 29th December 2015.
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