The Library Study Room Sign
A community library posts this notice on its group study room door:
"Group study rooms are reserved for groups of three or more. A single person may use a room only if no group is waiting. Rooms are limited to two hours per group per day. Groups that arrive more than ten minutes after their reservation time forfeit the room, and the next waiting group may claim it. Please do not leave personal items in an unattended room; staff will remove items after fifteen minutes."
On Tuesday, Marcus reserves Room 2 for 4:00 p.m. He arrives alone at 4:05 to set up his laptop, planning to be joined by two classmates at 4:20. At 4:10, a group of four arrives without a reservation and asks whether they can use the room. A librarian checks the sign and the reservation log.
1. Does Marcus forfeit his reservation by arriving at 4:05? Explain using the exact wording of the notice.
Read the worked answer
No. The notice says a group forfeits the room if it arrives more than ten minutes after its reservation time. Marcus's reservation is for 4:00 and he arrives at 4:05, which is only five minutes late - within the ten-minute grace period. So the forfeiture rule is not triggered by his arrival time.
Note the distinction the question tests: late is measured against the reservation time, and more than ten minutes means 4:11 or later, not 4:05.
2. At 4:10, can the group of four claim the room? Which rule decides this, and does Marcus's being alone matter?
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Two rules are in play. First, the forfeiture rule: Marcus is not more than ten minutes late, so the room is still his reservation. Second, the single-person rule: a single person may use a room only if no group is waiting. At 4:10 a group of four is waiting, so the single-person condition fails.
So the deciding rule is the single-person rule, not forfeiture. Marcus is alone at 4:10, and a group is waiting, so he does not meet the condition for solo use. The group of four can reasonably claim the room under the single-person rule even though Marcus has not forfeited. His plan to be joined at 4:20 does not change the fact that at 4:10 he is a single occupant while a group waits.
3. Suppose Marcus leaves his bag in the room at 4:15 and steps out to the hallway. When may staff remove the items, and what does the notice imply about whether his reservation survives?
Read the worked answer
The notice says staff will remove items from an unattended room after fifteen minutes. If Marcus leaves at 4:15, staff may act at 4:30 if the room remains unattended.
The notice does not say that removing items cancels a reservation, so the safe reading is that removal of items and forfeiture of the reservation are separate matters. The only stated way to forfeit is arriving more than ten minutes late. A test-taker should resist inferring a cancellation rule the notice never states - the correct move is to answer only what the text supports and flag the rest as unspecified.