In an experiment on the transport of nutrients in the root structure of a plant, two radioactive nuclides $X$ and Y are used. Initially, 2.50 times more nuclei of type $\mathrm{X}$ are present than of type Y. Just three days later there are 4.20 times more nuclei of type $X$ than of type Y. Isotope Y has a half-life of 1.60 d. What is the half-life of isotope X?