4 men and 6 women complete a work in 8 days. 2 men and 9 women also complete in 8 days in which. The number of days In which 18 women complete the work is :

Options

A. `4 (2)/(3)` day //`4 (2)/(3)` दिन
B. `4 (1)/(3)` day / `4 (1)/(3)` दिन
C. `5 (1)/(3)` day / `5 (1)/(3)` दिन
D. `5 (2)/(3)` day / `5 (2)/(3)` दिन

Answer

C

Explanation

`4M + 6 W = (1)/(8) …….(i)`
`2 M + 9 W = (1)/(8)...........(ii)`
समी. (i) - समी. (ii) `xx 2` करने पर
` - 12 W = = (1)/(8)`
`W = (1)/( 12 xx 8) = (1)/(96)`
`therefore 18 W = (18)/(96) = (3)/(16)`
अतः 18 स्त्री को काम पूरा करने में लगा समय `= (16)/(3) = 5 (1)/(3)` दिन