SSC CPO SI and ASI Model Paper 8

(1) Let work done by a man and awoman in one day be m and w, respectively.Now,
(40 m + 28 w)5 = (4 m + 4 w)45
⇒40 m + 28 w = 36 m + 36 w
⇒ 4 m = 8 w
Let us assume that D days are requiredby 16 men and 4 women tocomplete the work.
(4 m + 4 w)45 = (16 m + 4 w)D
⇒(8 w + 4 w)45 = (32 w + 4 w)D
⇒D = 15 days