# A piece of work can be done by 6 men and 5 women in 6 days or 3 men

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in :

(a) 1 day

(b) 2 day

(c) 3 days

(d) 4 day

**Answer: (c) 3 days **

**Solution:-**

To calculate the answer we need to get 1 man per day work and 1 woman per day work.

Let 1 man 1 day work =x

and 1 woman 1 days work = y.

=> 6x+5y = 1/6

and 3x+4y = 1/10

On solving, we get x = 1/54 and y = 1/90

(9 men + 15 women)’s 1 days work =

(9/54) + (15/90) = 1/3

9 men and 15 women will finish the work in 3 days

Hence, the correct answer is option (c) 3 days.