City Metro Lines Schedule and Timings

CAT 2022 Slot 1 · DILR · Hard · Routes and Networks

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Passage / data set

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.)

Question 1 of 5

How many individual ratings cannot be determined from the above information?

  1. A.

    9:01 am

  2. B.

    9:13 am

  3. C.

    9:06 am

  4. D.

    9:11 am

Answer

D

Explanation

By calculating the exact travel and stop times along the metro route, the required time is 9:11 am.

Question 2 of 5

If Priya is ready to board a train at 10:25 am from station T, then when is the earliest that she can reach station S?

  1. A.

    11:22 am

  2. B.

    11:28 am

  3. C.

    11:12 am

  4. D.

    11:07 am

Answer

C

Explanation

Calculating departure times from T towards R or V and connecting to S gives the earliest arrival at S as 11:12 am.

Question 3 of 5

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?

  1. A.

    11:35 pm

  2. B.

    11:39 pm

  3. C.

    11:43 pm

  4. D.

    11:49 am

Answer

B

Explanation

Working backward from 1:00 am at station B along the route through junction R to station S gives 11:39 pm.

Question 4 of 5

What is the minimum number of trains that are required to provide the service on the AB line (considering both north and south directions)?

Answer

8

Explanation

Total round trip time plus turnaround time of 15 minutes divided by the 15-minute headway requirement gives 8 trains.

Question 5 of 5

What is the minimum number of trains that are required to provide the service in this city?

Answer

48

Explanation

Summing the minimum required trains across all north-south and east-west lines in the metro network gives a total of 48 trains.

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