Multiple choice

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.

At what time do the two trains cross each other?

  1. 9:30 a.m.

  2. 9:52 a.m.

  3. 11:00 a.m.

  4. 12:00 p.m.

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Train 1 (7:00 AM) travels 60km in 1 hour. At 8:00 AM, distance between trains is 300-60 = 240km. Relative speed = 60+100 = 160 km/hr. Time to meet = 240/160 = 1.5 hours. 8:00 AM + 1.5 hours = 9:30 AM.

AI explanation

By 8:00 a.m., the first train has travelled for one hour at 60 km/hr, covering a distance of 60 km and leaving 240 km between the two trains. From 8:00 a.m. onwards, the trains travel towards each other, so their relative speed is 60 km/hr + 100 km/hr = 160 km/hr. Using the time formula, the time taken to meet is 240 km / 160 km/hr = 1.5 hours. Adding 1.5 hours to 8:00 a.m. gives a crossing time of 9:30 a.m.

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