Correct Answer - Option 1 : 12
Given:
3 Men can reap field in 43 days
4 women can reap field in 43 days
Concept used:
Work done = time × efficiency
Calculation:
Let the efficiency of one man be 'm' and one women be 'w'.
Work done = 3 × m × 43 = 4 × w × 43
⇒ Ratio of efficiency of man to women, m ∶ w = 4 ∶ 3
Let the efficiency of man and women to be 4x and 3x respectively.
Number of days by which 7 men and 5 women can finish work = (3 × 4 × 43)/(7 × 4 + 5 × 3) = 12 days.
∴ The number of days required by 7 men and 5 women to finish work is 12 days.
