The significant reasons depend entirely on what the interface is supposed to do.
If you have an interface Vehicle and an interface Drivable it stands to reason that all vehicles are drivable. Without interface inheritance every different kind of car class is going to require
class ChevyVolt implements Vehicle, Drivable
class FordEscort implements Vehicle, Drivable
class ToyotaPrius implements Vehicle, Drivable
and so on.
Like I said all vehicles are drivable so it’s easier to just have:
class ChevyVolt implements Vehicle
class FordEscort implements Vehicle
class ToyotaPrius implements Vehicle
With Vehicle as follows:
interface Vehicle extends Drivable
And not have to think about it.