Correct Answer - Option 4 : 32
Given:
Work is completed by 12 women working 8 hours a day.
The efficiency of a woman is twice the efficiency of a man.
Formula:
Work = Efficiency × Time
Calculation:
Let the efficiency of a man and a woman be x and 2x respectively.
Work done by a woman in 8 hours = 8 × 2x = 16x
According to the question,
Work is completed by 12 women working 8 hours a day.
Total amount of work = 12 × 16x = 192x.
Twice the amount of work = 2 × 192x = 384x.
∵ “x” is the efficiency of a man and one man works for 12 hours a day.
Work done by a man in one day = x × 12 = 12x.
Let the number of men required to complete twice the amount of work be “n”.
⇒ n × 12x = 384x
⇒ n = 384/12 = 32
∴ The number of men required to complete twice the amount of work is 32.
