In the first step, let's assume some disturbing factors, such as forgetting your keys, slipping on the way home, being splashed by passing cars and getting wet, and then give weight to the influence of these factors on your getting wet. If there are n kinds of interference factors that have negative effects on you in different degrees, then R = [r 1R2R3...rn] is represented by a matrix; If the weight is a matrix w, then w = [W 1W2W3...wn] is represented by a matrix;

Therefore, let the negative influence of the whole disturbance factor be k, then k = r * (transposition of w).

K is ultimately measured and calculated in time units.

The second step, assuming that you are running at a constant speed or with variable speed, we use the average V m/s to represent your running speed. The distance between home and school is 100 meters. Then your time on the road is t=S/V seconds.

The third step is to consider some factors that are beneficial to your shelter from the rain on the way, such as running under the awning of roadside shopping malls. The wind direction is conducive to your running and you are less wet by the rain. Referring to the first step, if there are also M kinds of favorable factors that have different degrees of positive influence on you, then use the matrix to represent R' = [R'1R' 2r' 3 ... R'm]; If the weight is the matrix w', then w = [w' 1 w' 2 w' 3...w' m] is represented by the matrix; Therefore, let the negative influence of the whole disturbance factor be k, then k' = r' * (transposition of w').

K' will be measured and calculated in time unit finally.

The fourth step, design and calculate your total stay time on the way is t seconds.

Then: t = t-k+k' = (s/v)-[r * (transposition of w)]+[r' * (transposition of w)] (where S= 1km).

Considering both positive and negative factors in this way, the amount of rain you get should be related to the total time t you stay on the road. The faster you run, that is, the smaller V, which only means that (S/V) increases, but the influence of K should also be considered.

So my opinion is that "the faster you run, the less you will get caught in the rain".