A and B takes \(2\frac{1}{4}\) days and \(6\frac{1}{4}\) 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 4
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 = \(\sqrt {\frac{9}{4}\;×\;\frac{25}{4}}\)
= \(\frac{15}{4}\)
= \(3\frac{3}{4}\) days to complete the work