A can complete one-sixth of a work in 5 days and B can complete one-fourth of the same work in 15 days. In how many days, will both working together complete the work?

20 days

A = \(\frac{1}{6}\)W = 5 days = 30 days,

B = \(\frac{1}{4}\)W = 15 days = 60 days,

⇒ Time required by A + B to complete the work = \(\frac{60}{2+1}\) = \(\frac{60}{3}\) = 20 days,   ..(\(\frac{Work}{Efficiency}\) = Time)