Madhya Pradesh Police Exam Model Paper 2

Given:
One man and one Woman together can complete a piece of work = 12 days
A man can complete the work = 30 days
Concept used:
Total work = LCM
Formula used:
Efficiency = Work/Time
Calculation
Let efficiency of a man and a woman be M and F respectively
Total efficiency of a man and a woman = M + F
Work done a man and a woman in 12 days = 12(M + F)
Total work done a man in 30 days = 30M
According to the question,
⇒ 12(M + F) = 30M
⇒ 12 M + 12F = 30 M
⇒ 12F = 18 M
⇒ F ∶ M = 3 ∶ 2
Total work = total efficiency × together work done
Total work = 5 × 12 = 60
One woman completes the work = 60/3 = 20 days
∴ One woman completes the work in 20 days