R can do \(\frac{1}{2}\) part of a work in 6 days. Q can do \(\frac{2}{3}\) part of the same work in 12 days. Working together, in how many days can R and Q complete the whole work?

\(\frac{36}{5}\) days

R can do \(\frac{1}{2}\) of the work in = 6 days

R can do complete the work in = 12 days

Q can do \(\frac{2}{3}\) of the work in = 12 days

R can do complete the work in = 18 days

Now,

Working together they will take = \(\frac{36}{5}\) days