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 days
Given that
8 men and 12 women finish a job in 4 days
6 men and 14 women in 5 days
Concept used
Worker × days × hours = constant
Let the efficiency of a man and a woman be M and W
According to the question
(8M + 12W) × 4 = (6M + 14W) × 5
32M + 48W = 30M + 70W
2M = 22W
M = 11W
Now, Total work = (8M + 12W) × 4 = (8 × 11W + 12W) × 4 = 400W
Hence, 20 women finish the job in = 400W/20W = 20 days