A can complete a work in 16 days. B can complete the same work in 8 days. If both of them work together, then in how many days can they complete the same work?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(5\frac{1}{3}\) days
A person who finishes a work in \(n\) days does \(\frac{1}{n}\) of the work in one day. Working together, A and B do the sum of their one-day shares each day.
A’s one-day work \(\displaystyle =\frac{1}{16}\)
B’s one-day work \(\displaystyle =\frac{1}{8}=\frac{2}{16}\)
Together in one day \(\displaystyle =\frac{1}{16}+\frac{2}{16}=\frac{3}{16}\)
Time for the whole work \(\displaystyle =\frac{16}{3}=5\frac{1}{3}\) days