A courier service has offices at three locations: Jamshedpur, Kharagpur and Howrah. Its employees travel by trains from one location to another for pick-up and delivery. It takes 40 minutes for an employee to travel from any railway station to the nearest office (and another 40 minutes for coming back); the paperwork to deliver the parcel at the respective office takes an additional 10 minutes. Assume employees do not waste any time.
An employee, starting from Kharagpur station, has to deliver one parcel at Howrah office and another parcel at Jamshedpur office. His task starts the moment he boards the train at Kharagpur station, and gets completed immediately after delivering the second parcel.
Which of the following trains should he board at Kharagpur station to minimize the time required to complete the task?
T102: Kharagpur to Howrah station (9:05 - 11:10) --> Delivery (11:11 - 12:40) --> Howrah to Jamshedpur station (14:30 - 17:45) via T204--> Delivery (18:35). Thus, a total of 9hr 30mins.
T103: Kharagpur to Howrah station (12:05 - 14:30) --> Delivery (14:31 - 16:00) --> Howrah to Jamshedpur station (16:00 - 20:00) via T205 --> Delivery (20:50). Thus, a total of 8hr 45mins.
T202: Kharagpur to Jamshedpur station (10:40 - 12:35) --> Delivery (12:35 - 14:05) --> Jamshedpur to Howrah station (15:00 - 18:00) via T104 --> Delivery (18:50). Thus, a total of 8hr 10mins.
T203: Kharagpur to Jamshedpur station (12:15 - 14:00) --> Delivery (14:01 - 15:30) --> Jamshedpur to Howrah station (17:00 - 20:30) via T105 --> Delivery (20:30 - 21:20). Thus, a total of 9hr 05mins.
Thus, T202 requires the least amount of time.
Hence, option C is the answer.
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