8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 20.
According to the question,
(8m + 12w) × 4 = (6m + 14w) × 5
32m + 48m = 30m + 70w
2m = 22w
m/w = 11/1
Total time taken by the 20 women to finish the work = [(8 × 11 + 12 × 1) × 4]/20
= 400/20 = 22