Next Meeting

Well, now I see that my approach is really different...
anyway, draw a 6x6 grid where each cell is a 10 minutes interval
assume the y-axis is for man Y and the x-axis is for man X.

Now you have to find the ratio of the area that represent different posibilities they meet to the total area of the grid. No math here , just cell counting

what we get is 11/36

You're approach is interesting, but I guess it's much
easier with at least a bit of math.

The answer is 1 - (1 - 10/60)^2 = 11/36.
For the other exercise, it was 1 - (1 - 30/120)^2 = 7/16.

I found this by trying and thinking a bit.

As with the other similar exercise, the problem can
be compared with:

If 2 dice are thrown, what is the possibility that at
least one shows a specific number.

In our example with the meeting, it could be translated to

If 2 peeple meet, what is the possibility that at least
one arrives within a range to a specific time (that for
each of them represents the arrival of the other one).

I'm not totally sure with the comparison, but I testet the
formula with the computer for different values and the results
are correct.

well done ccax, i'll keep that formula in mind, even though I still need to understand the logic behind