Two spies agreed to meet at a gas station between noon and…

Two spies agreed to meet at a gas station between noon and 1pm, but they have both forgotten the arranged time. Each arrives at a random time between noon and 1pm and stays for 6 minutes unless the other is there before the 6 minutes are up. Assuming all random times are equally likely, what is the probability that they will meet within the hour (noon to 1pm)?

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #15928