A train is moving at 72 km/h and passes a platform in 20 seconds. What is the le
Practice Questions
Q1
A train is moving at 72 km/h and passes a platform in 20 seconds. What is the length of the train?
100 m
200 m
300 m
400 m
Questions & Step-by-Step Solutions
A train is moving at 72 km/h and passes a platform in 20 seconds. What is the length of the train?
Correct Answer: 400 m
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.
Speed and Distance – Understanding the relationship between speed, time, and distance to calculate the length of the train.
Unit Conversion – Converting speed from km/h to m/s to ensure consistent units when calculating distance.