A can do \(\frac{1}{3}\) part of a work in 8 days. B can do \(\frac{3}{4}\) part of the same work in 27 days. Working together in how many days can A and B complete 33.33% of the work?
Answer & explanation
Correct answer: option 2
A can do \(\frac{1}{3}\) part of a work in 8 days.
Therefore, A can do complete work alone in = 8 ×\(\frac{1}{3}\) = 24 days
B can do \(\frac{3}{4}\) part of the same work in 27 days.
Therefore, B can do complete work alone in = 27 ×\(\frac{3}{4}\) = 36 days
A and B together can do the whole work in = \(\frac{72}{5}\) days
Now,
A and B together can do 33.33% of the work in = \(\frac{72}{5}\) × \(\frac{1}{3}\) = \(\frac{24}{5}\) days = 4\(\frac{4}{5}\) days