CAT 2024 Slot 1 DILR: A Building's Lift Usage Puzzle

Five employees — P, Q, R, S and T — work on five different floors of a building, numbered Floor 1 to Floor 5 (one employee per floor). Every morning, all five enter the lift together at the ground floor and the lift travels upward, stopping at Floor 1, then Floor 2, then Floor 3, then Floor 4, then Floor 5, in that order, with exactly one employee exiting at each floor (matching that employee's own floor).

The lift takes 8 seconds to travel between any two consecutive floors, and at each floor where it stops, it takes an additional 12 seconds for the doors to open, the employee to exit, and the doors to close, before the lift continues (or ends its journey, at Floor 5).

The following is known about who works on which floor:
1. Q exits the lift exactly two stops after P does (i.e., Q's floor number = P's floor number + 2).
2. R exits the lift immediately before T does (i.e., T's floor number = R's floor number + 1).
3. S does not work on Floor 1 or Floor 5.
4. P does not exit first (P is not on Floor 1).
5. T exits before Q does.

Timing reference: the lift departs the ground floor at time t = 0 seconds.