Platform 4 and the Missing Blue Bag
You are at East Station, going to Harbor Bay to meet your sister at 16:00. You hear this announcement: 'The 15:10 express to Harbor Bay will leave from platform 4 today, not platform 2, because of track work. It will be about ten minutes late. Passengers with large bags should use the elevator by the ticket gate.' A woman next to you speaks to a station worker. She says: 'I left my blue bag on the 14:40 local to Lakewood. I have to be in Harbor Bay at 16:00.' The worker answers: 'The lost property office is on the second floor, but it closes at 16:00 today. That Lakewood train comes back through this station at 15:25. The next Harbor Bay express after the 15:10 is at 16:10.' The woman looks at the clock. It is 14:58.
1. Which platform and departure time should the woman use for Harbor Bay? Explain how the announcement and the dialogue fit together.
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Platform 4, at about 15:20.
The announcement gives two pieces of information: the platform has changed from 2 to 4 because of track work, and the 15:10 train is about ten minutes late. Ten minutes after 15:10 is 15:20.
A careless listener takes only half the message. Hearing 'platform 2' from an old habit or a previous trip leads to the wrong platform. Hearing '15:10' and ignoring 'ten minutes late' leads to standing on platform 4 after the train has gone. The worker's information about the 16:10 express is useful only as a back-up: it is the next Harbor Bay train, not her train.
2. The woman cannot do everything. Decide what she should do first, what she must give up, and what she should tell her sister. Support your choice with the times.
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At 14:58 the lost property office is open and closes at 16:00, so she has about an hour to go up to the second floor. Her Harbor Bay train leaves platform 4 at about 15:20. The Lakewood train returns at 15:25, five minutes after her train leaves, so she cannot watch for her bag and catch the 15:20.
If she waits for the returning train and then takes the 16:10 express, she is already past 16:00 before the journey even starts, so she will miss her sister.
Best plan: go to the second-floor office now, report the blue bag and the train it was left on, leave her name and phone number, then board the 15:20 from platform 4. Give up watching the 15:25 train arrive; the office can contact her if the bag is handed in. She should call or text her sister immediately to say the train is late and where they will meet. A promise to a person at 16:00 outranks a bag that can be collected later.
3. A friend says, 'Just take the 16:10 express and you will still be fine.' Use arithmetic to show why this is wrong if she must be in Harbor Bay at 16:00.
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The 16:10 express leaves ten minutes after 16:00. Even if the ride took zero minutes, she would arrive after 16:00, so the plan fails before any travel time is added.
The only train that can put her in Harbor Bay near 16:00 is the delayed 15:10, leaving at about 15:20. Taking the 16:10 guarantees a late arrival. The friend may be thinking only about the bag, not about the sister waiting at the station; the two goals conflict, and the fixed appointment is the one that cannot be moved.