In a right triangle , $\large\frac{1}{4}$ of the length of the longer leg is equal to $\large\frac{3}{5}$ of the length of the shorter leg. What is the ratio of length of the hypotenuse to the length of the shorter leg?

Question

$\begin{array}{1 1} (a)\; \frac{13}{5} \\ (b)\; \frac{18}{5} \\ (c)\; \frac{29}{5} \\ (d)\;\frac{13}{5} \end{array}$