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? |
\(5\frac{2}{3}\) \(6\frac{2}{3}\) \(3\frac{1}{3}\) \(9\frac{2}{3}\) |
\(6\frac{2}{3}\) |
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 = \(\sqrt {\frac{16}{3}\;×\;\frac{25}{3}}\) = \(\frac{20}{3}\) = \(6\frac{2}{3}\) |