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A train crosses a bridge in 20 seconds. If the length of the train is 200 meters

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Question: A train crosses a bridge in 20 seconds. If the length of the train is 200 meters and the speed is 60 km/h, what is the length of the bridge?

Options:

  1. 100 m
  2. 150 m
  3. 200 m
  4. 250 m

Correct Answer: 250 m

Solution: 

Distance = Speed * Time = (60 * 1000 / 3600) * 20 = 333.33 m. Length of bridge = Distance - Length of train = 333.33 - 200 = 133.33 m.

A train crosses a bridge in 20 seconds. If the length of the train is 200 meters

Practice Questions

Q1
A train crosses a bridge in 20 seconds. If the length of the train is 200 meters and the speed is 60 km/h, what is the length of the bridge?
  1. 100 m
  2. 150 m
  3. 200 m
  4. 250 m

Questions & Step-by-Step Solutions

A train crosses a bridge in 20 seconds. If the length of the train is 200 meters and the speed is 60 km/h, what is the length of the bridge?
  • Step 1: Convert the speed of the train from kilometers per hour (km/h) to meters per second (m/s). To do this, use the formula: Speed in m/s = (Speed in km/h * 1000) / 3600. For 60 km/h, it becomes (60 * 1000) / 3600 = 16.67 m/s.
  • Step 2: Calculate the total distance the train travels while crossing the bridge. Use the formula: Distance = Speed * Time. The train travels for 20 seconds at 16.67 m/s, so Distance = 16.67 m/s * 20 s = 333.33 meters.
  • Step 3: Find the length of the bridge. The total distance includes both the length of the train and the length of the bridge. Use the formula: Length of Bridge = Total Distance - Length of Train. The length of the train is 200 meters, so Length of Bridge = 333.33 m - 200 m = 133.33 m.
  • Speed, Distance, and Time – Understanding the relationship between speed, distance, and time is crucial for solving problems involving motion.
  • Unit Conversion – Converting speed from km/h to m/s is necessary to ensure consistent units when calculating distance.
  • Relative Motion – Recognizing that the total distance covered by the train includes both the length of the train and the length of the bridge.
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