Encounter Experiment

Un problème du 4e concours japonais de mathématiques

Dr. Boro sometimes dates women.

However , the other day , the meeting place was crowded and it was getting dark , so it look her an hour to find the doctor , and it became a big quarrel.

In fact , Dr. Boro , who has considerable myopia and astigmatism , thought that it was better to stay still than to wander around , so he did not move a certain place within the range designated as "Wait around here".

But she didn't like it.

She argues that it should be faster for each other to find each other and move around.

The rational is that if both don't work ,both will never find the other.

Of course , as the saying goes , "If you have a distress in the mountains , don't move a step and wait for help" , Dr. Boro thinks he is absolutely correct mathematically. However , her anger has shaken Dr. Boro's self-confidence a bit.

Which do yo agree with ? And why ? Can yo explain the reason mathematically ?

(From the 4th Japan Mathematics Competition)

In this app , a dog is used as a substitute for her , and Momotaro is used as a substitute for Dr. Boro.