2 men or 9 women can do a job in 14 days. 2 men work for 9 days and leave. The number of women required to complete the remaining work in 9 days is:​

Correct option is C

Given:

2 men or 9 women can complete the job in 14 days.

Formula Used:

Work is inversely proportional to the number of workers and directly proportional to the time taken.

Work = Number of workers × Time taken

Solution:  

Comparing efficiencies of men and women 

2 men work done = 9 women work done 

2M = 9W 

​$$\frac{M}{W} = \frac{9}{2}$$ 

Total work  = $$9\times 2 \times 14 = 252$$ unit

2 Men work for 9 days 

= $$2\times 9\times 9 = 162 \ unit$$ 

Remaining work = 252 - 162 = 90 unit 

Women required to complete the remaining work in 9 days 

= $$\frac{90}{2\times9} = 5$$ 

Thus, total number of women required are 5