Passage

Directions: Read the passage below and answer the questions that follow. The Ludhiana-New Delhi superfast express departs Ludhiana Railway station for New Delhi railway station at 7:00 a.m. in the morning travelling at an average speed of 60 km/hr. The New Delhi-Ludhiana express departs New Delhi railway station for Ludhiana exactly an hour later travelling at an average speed of 100 km/hr. The distance between the two railway stations is 300 km.

Train from Ludhiana starts 1 hour late and train from New Delhi starts on time. Let the two trains run at their normal speed for the 1^st hour after which their speeds get interchanged. How far from the Ludhiana railway station do they now cross each other?

From 7:00 am to 8:00 am, the Ludhiana train travels normally at 60 km/h, covering 60 km, while the New Delhi train travels normally at 100 km/h for an hour, covering 100 km, leaving a remaining distance of 300 minus 160, which is 140 km. In the second hour, their speeds are interchanged, so the Ludhiana train travels at 100 km/h and the New Delhi train travels at 60 km/h. Their relative speed towards each other is 100 plus 60, totaling 160 km/h, meaning the time taken to meet is 140 divided by 160, or 0.875 hours. The distance covered by the Ludhiana train in the second hour is 100 times 0.875, equaling 87.5 km, which adds to the initial 60 km for a total crossing distance of 147.5 km from Ludhiana.

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