Let random variable 0 represent time spent cooking, and random variable D represent time spent dining. Suppose C has a uniform distribution on [0, 2]. And, suppose that conditional on 0 having value C, that D has a uniform distribution on [c, 26]. You might think of this as your guests being polite: you and your guests spend at least as much time enjoying the meal as it took you to make make it, but they also don't want to overstay their welcome