Question

A train leaves Station X at 5 a.m. and reaches Station Y at 9 a.m. Another train leaves Station Y at 7 a.m. and reaches Station X at 10.30 a.m. At what time do the two trains cross each other?

• A. 7.36 a.m.
• B. 7.56 a.m.
• C. 8.36 a.m.
• D. 8.56 a.m.

Answer 1

The Correct Option is B

The first train takes 4 hours, while the second train takes 3.5 hours to travel the same distance. Since the distances are the same, the ratio of their times is calculated. Given that speed is inversely proportional to time, the ratio of their speeds is derived accordingly.

Let the speed of the first train be x km/h and the speed of the second train be y km/h. This allows us to determine the total distance between the two stations as z km. The distance covered by the first train in the first two hours (before the second train starts) is a km.

Thus, the remaining distance between the two trains at 7:00 am is b km. Since they are moving toward each other, their combined relative speed is c km/h. The time taken for the two trains to meet each other is d minutes, meaning they will meet at 7:56 am.
The correct answer is (B): 7.56 a.m.