A jogger is running at a speed of 9 km/h along a railway track, positioned 240 meters ahead of the front of a 120-meter-long train traveling in the same direction at 45 km/h. How long will it take for the train to completely overtake the jogger?

Explanation

Let's analyze the problem step-by-step: 1. Given data: - Jogger's speed (V₁) = 9 km/h - Train's speed (V₂) = 45 km/h - Distance between jogger and train engine = 240 meters - Length of train = 120 meters 2. Calculate the relative speed of the train with respect to the jogger: Relative speed = V₂ - V₁ = 45 km/h - 9 km/h = 36 km/h 3. Convert relative speed to meters per second: 36 km/h = (36 × 1000) / 3600 = 10 m/s 4. Total distance the train must cover to pass the jogger completely: Distance = 240 m + 120 m = 360 m 5. Time taken to pass the jogger: Time = Distance / Relative speed = 360 m / 10 m/s = 36 seconds Therefore, the train will take 36 seconds to fully pass the jogger.