![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743801224/aptidude_questions/x33hw9lgaofkrf6zibxd.png)

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in north-south direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train.)

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Haripriya is expected to reach station S late. What is the latest time by which she must be ready to board at station S if she must reach station B before 1 am via station R?

Question

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1743801224/aptidude_questions/x33hw9lgaofkrf6zibxd.png)

Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in north-south direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train.)

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Haripriya is expected to reach station S late. What is the latest time by which she must be ready to board at station S if she must reach station B before 1 am via station R?

Accepted Answer

To determine the latest time Haripriya must be ready to board at **Station S**, we analyze the metro system step by step using the given data.

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### Step-by-Step Analysis:

For detailed analysis : refer to this video : https://youtu.be/cOv8ExDScgo

![Screenshot 2025-04-05 021804.png](https://res.cloudinary.com/aptidude/image/upload/v1743801352/aptidude_questions/jnbqzf5j4zqyug5knfwf.png)![Screenshot 2025-04-05 021804.png](https://res.cloudinary.com/aptidude/image/upload/v1743801360/aptidude_questions/cl40qngnrmilfzzsit8h.png)![Screenshot 2025-04-05 021811.png](https://res.cloudinary.com/aptidude/image/upload/v1743801366/aptidude_questions/uqc5a3e96bl2iauypiev.png)

### Conclusion:
The latest time Haripriya must be ready to board at Station S is **11:39 PM**, making option **B (11:39 PM)** correct.

Answer

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