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?
Answer & explanation
Correct answer: option 4
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