There is a person who jumps and covers 1/2 distance of his last jump, will he reach his target soon or not?

Last of the questions which I remember from my interview

I have previously written about other questions which I think I failed to answer during an interview:

Let’s say, we have to cover 40 metres and the previous jump covered 10 metres, next will cover 5 metres, 2.5 after that, 1.25 and so on.

This will accumulate as follows:

10 + 5 + 2.5 + 1.25 + 0.625 + 0.3125 + 0.15625 + 0.078125 + 0.0390625 + 0.01953125 + 0.009765625 + 0.004882813 …….

Whether the distance will be covered soon or not depends on the initial jump and total distance to be covered. If the difference between the distance covered by the initial jump and the total distance to be covered is small, it would require less time to reach the target and vice versa.