A train is moving at 72 km/h and passes a platform in 30 seconds. What is the length of the platform if the train is 200 meters long?
Practice Questions
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A train is moving at 72 km/h and passes a platform in 30 seconds. What is the length of the platform if the train is 200 meters long?
200 m
300 m
400 m
500 m
Speed in m/s = 72 * (1000/3600) = 20 m/s. Distance = Speed × Time = 20 m/s × 30 s = 600 m. Length of platform = 600 m - 200 m = 400 m.
Questions & Step-by-step Solutions
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Q
Q: A train is moving at 72 km/h and passes a platform in 30 seconds. What is the length of the platform if the train is 200 meters long?
Solution: Speed in m/s = 72 * (1000/3600) = 20 m/s. Distance = Speed × Time = 20 m/s × 30 s = 600 m. Length of platform = 600 m - 200 m = 400 m.
Steps: 3
Step 1: Convert the speed of the train from kilometers per hour (km/h) to meters per second (m/s). Use the formula: Speed in m/s = Speed in km/h * (1000/3600). So, 72 km/h * (1000/3600) = 20 m/s.
Step 2: Calculate the total distance the train travels while passing the platform. Use the formula: Distance = Speed × Time. The train travels at 20 m/s for 30 seconds, so Distance = 20 m/s × 30 s = 600 m.
Step 3: Find the length of the platform. The total distance (600 m) includes the length of the train (200 m). So, Length of platform = Total distance - Length of train = 600 m - 200 m = 400 m.
