A quantitative variable is the one that has a numerical significance such as number of items, time spent on playing a video game while a qualitative variable is the one who has not a numerical significance attached to it such as Gender, Eye color
Further in a quantitative variable, a discrete variable is the one which is a whole number and can not be broken down further, like number of items
while a continuous variable is the one that takes any value within an interval of values like between 1 and 2 , a continuous variable can take any value like 1.21, 1.55556, 1.994 etc.
The distance traveled by a teacher from their house to their school can take any value like 25.4, 10.5, 26.9, etc.
Thus, the variable is quantitative and continuous.