A train is moving at 72 km/h and passes a platform in 20 seconds. What is the length of the train?
Practice Questions
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Q1
A train is moving at 72 km/h and passes a platform in 20 seconds. What is the length of the train?
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400 m
Length of train = Speed × Time = (72 km/h × (1000 m/1 km) / (3600 s/1 h)) × 20 s = 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 20 seconds. What is the length of the train?
Solution: Length of train = Speed × Time = (72 km/h × (1000 m/1 km) / (3600 s/1 h)) × 20 s = 400 m.
Steps: 6
Step 1: Understand that the train's speed is given in kilometers per hour (km/h) and we need to convert it to meters per second (m/s) for easier calculations.
Step 2: Convert the speed from km/h to m/s using the formula: Speed in m/s = Speed in km/h × (1000 m / 1 km) / (3600 s / 1 h).
Step 3: Calculate the speed in m/s: 72 km/h × (1000 m / 1 km) / (3600 s / 1 h) = 20 m/s.
Step 4: The train passes the platform in 20 seconds. We can use the formula: Distance = Speed × Time to find the length of the train.
Step 5: Substitute the values into the formula: Length of train = 20 m/s × 20 s.
Step 6: Calculate the length of the train: 20 m/s × 20 s = 400 m.
