A and B takes \(2\frac{2}{7}\) days and \(\frac{7}{25}\) 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 3
In these type of questions:
Use direct formula : (A + B)'s time = \(\sqrt {More\;time\;taken\;by\;A\;×\;More\;time\;taken\;by\;B}\)
Hence, Using direct formula,
A + B will take = \(\sqrt {\frac{16}{7}\;×\;\frac{7}{25}}\)
= \(\frac{4}{5}\) days to complete the work