2 men and 7 women can do a piece of work in 14 days where as 3 men and 8 women can do it in 11 days. In how many days 5 men and 4 women can do the same work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 11
(2M + 7W)14 = (3M + 8W)11
28M + 98W = 33M + 88W
5M = 10W or 1M = 2W
now according to question,
2 men and 7 women can do a piece of work in 14 days i.e 4W + 7W = 14, 1W = 14/11
We need to find In how many days 5 men and 4 women can do the same work hence,
10W + 4W = ?
14W = 14/(14/11) = 11 Days