A and B takes \(5\frac{1}{3}\) days and \(8\frac{1}{3}\) days more for doing a piece of work respectively than the time taken by A and B together. In how many days will they finish the work together?
Answer & explanation
Correct answer: option 2
In these type of questions:
Use direct formula : (A + B)'s time = \(\sqrt {More\;time\;taken\;by\;A\;×\;More\;time\;taken\;by\;B}\)
Here,
\(5\frac{1}{3}\) = \(\frac{16}{3}\)
\(8\frac{1}{3}\) = \(\frac{25}{3}\)
ATQ,
A + B will take = \(\sqrt {\frac{16}{3}\;×\;\frac{25}{3}}\)
= \(\frac{20}{3}\)
= \(6\frac{2}{3}\)