Shortcut Trick Since the time taken by both trains to meet is constant, the ratio of distance covered is equal to their ratio of speed. Ratio of distances = 50 : 60 = 5 : 6 Difference in ratio parts = 6 − 5 = 1 unit According to the question, 1 unit = 120 km Total distance = (5 + 6) units = 11 units = 11 × 120 = 1320 km ∴ The correct answer is 1320 km. Alternate Method Given: Speed of Train 1 = 50 km/hr Speed of Train 2 = 60 km/hr Difference in distance covered = 120 km Formula Used: Distance = Speed × Time • • Station A Station B Meeting Point Speed = 50 km/hr → ← Speed = 60 km/hr Distance = 50t Distance = 60t Difference = 60t − 50t = 120 km Calculations: ⇒ Let both trains meet each other after 't' hours. ⇒ Distance covered by Train 1 from Station A = 50 × t = 50t km ⇒ Distance covered by Train 2 from Station B = 60 × t = 60t km ⇒ The second train covers 120 km more than the first train. ⇒ 60t − 50t = 120 ⇒ 10t = 120 ⇒ t = 12 hours ⇒ Total distance between both stations = Distance by Train 1 + Distance by Train 2 ⇒ Total distance = 50t + 60t = 110t ⇒ Total distance = 110 × 12 = 1320 km ∴ The correct answer is 1320 km. Related Concepts: Relative Speed When two moving bodies travel in opposite directions, their relative speed is calculated as the sum of their individual speeds (S_(1) + S_(2)). Constant Time Property If the time of travel remains constant for two bodies, the total distance covered by them is directly proportional to their respective speeds (D_(1) ÷ D_(2) = S_(1) ÷ S_(2)).