MAT Exam 2023 Paper

Concept:When two trains move towards each other, the difference in their distances equals the difference in their speeds multiplied by the time of travel.Explanation:Let the time taken to meet be $t$ hours.Distance covered by the first train from station A is $45t$ km.Distance covered by the second train from station B is $55t$ km.According to the question, the second train covers 120 km more than the first train.So, $55t - 45t = 120$.Simplifying, $10t = 120$.Thus, $t = 12$ hours.Total distance between A and B is the sum of distances covered by both trains until they meet.Total distance $= 45t + 55t = 100t$.Substitute $t = 12$: $100 \times 12 = 1200$ km.Therefore, the distance between stations A and B is $1200$ km.Answer:Option A: $1200$ km.