Question:
Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?
Solution:
Time taken by Sita to do the work $=9$ hours
Time taken by Mita to do the work $=6$ hours
Time taken by Rita to do the work $=12$ hours
Now,
Work done by Sita $=\frac{1}{9}$
Work done by Mita $=\frac{1}{6}$
Work done by Rita $=\frac{1}{12}$
$\therefore$ Work done by them together $=\frac{1}{9}+\frac{1}{6}+\frac{1}{12}$
$=\frac{4+6+3}{36}=\frac{13}{36}$
Thus, together they can do the work in $\frac{36}{13}$ hours.