X completes a work in 12 days, whereas Y completes the same work in 16 days. If P is 1\(\frac{1}{2}\) times as fast as X. In how many days can Y and P together complete the work?

5\(\frac{1}{3}\) days

Efficiency of P = 1\(\frac{1}{2}\) x 4 = 6

Time taken by Y and P together to complete the work = \(\frac{Total\; work}{Efficiency}\)

                                                                              = \(\frac{48}{9}\) = 5\(\frac{1}{3}\) days