Avery arrives at a coffee shop at a random time between 7:00 and 9:00, and Bruno at a random time between 6:00 and 10:00. The time one person arrives does not affect the other's.
Integrate[
PDF[UniformDistribution[{7, 9}], a + 0.5]*
PDF[UniformDistribution[{6, 10}], b], {b, 6, 10}, {a, 7, b}]