There is an empty conical tank(with its vertex facing downwards). A tap was opened into this tank, so as to fill it in a certain time. After, some time when the tank was full upto half its height, a leak was detected at the vertex and was immediately plugged. If the leak was detected exactly at the moment was the tank was supposed to be half full, then the time in which the leak alone can empty a full tank is how many times that in which the tap alone can fill the empty tank?

1) 4/3
2) 8/7
3) 3/2
4) None of these