If $17$ women and $24$ men can do a piece of work in $5$ days and $12$ women and $23$ men can do it in $6$ days, then which one of the following is correct?

Ten people can do a work in $30$ days. In how many days, can 15 people complete double the work - 

1.$40$

2. $25$

3. $20$

4. $45$ 

G is twice as fast as S in doing work. If G can do a work in $30$ days less than S, how many days will they take to complete the work together? 

1.$25$
2. $20$
3. $22$
4.$15$ 

X can do 5 times faster work than that of Y and so it takes 36 days less than Y. Find the time in which X alone can complete the work?