P can complete a work in 24 days, Q can do in 33 days and R in 54 days. All of them start the work together. P left after 8 days, Q left after 3 more days. In how many days R will complete the remaining work?

18

P complete works in 24 days . so in 8 days to completes \(\frac{1}{3}\)rd of work.

Q complete works in 33 days . so in 11 days to completes \(\frac{1}{3}\)rd of work.

Remaining work = 1 - \(\frac{1}{3}\) -  \(\frac{1}{3}\) = \(\frac{1}{3}\)

R completes works in 54 days . so \(\frac{1}{3}\)rd work will be completed in

= \(\frac{54}{3}\)  = 18 days