Staircase Equivalence to an Incline

Q. A body falling freely from a given height $H$, hits an inclined plane in its path at a height $h$. As a result of this impact the direction of velocity of the body becomes horizontal. For what value of $\frac{h}{H}$ will the body take maximum time to reach the ground?

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $1$
4. $\frac{3}{4}$