0

This is a follow-up to this question

Can someone help me understand why the following geometric intuition is wrong? Graph with geometric intuition

The setup is the same, where we let x and y be the arrival times of A and B. Then, we condition on the arrival time of A: whenever A arrives, for them to meet, B has to arrive at most 10 minutes later. Therefore, the region is bounded by the equations

$$ x = y $$ $$ x + 10 = y $$ $$ 0 ≤ x ≤ 60 $$ $$ 0 ≤ y ≤ 60 $$

I can't find the flaw in this, but it doesn’t give the same result as the linked answer.

J. W. Tanner
  • 60,406
john....
  • 1
  • 3
    You're missing one of the two ways a meeting could occur (which is why you get half of the area). You say that whenever A arrives, we need B to arrive at most 10 minutes later. But it would work just as well if B arrives up to 10 minutes earlier. So $x=y$ is not the boundary at all; it's $x-10=y$ (along with $x+10=y$, which you have). – Toby Bartels Nov 19 '23 at 22:14

0 Answers0