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A train 150 meters long is moving at a speed of 72 km/h. How long will it take t

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Question: A train 150 meters long is moving at a speed of 72 km/h. How long will it take to cross a bridge 300 meters long?

Options:

  1. 15 seconds
  2. 20 seconds
  3. 25 seconds
  4. 30 seconds

Correct Answer: 20 seconds

Solution: 

Total distance to cover = Length of train + Length of bridge = 150 m + 300 m = 450 m. Speed in m/s = 72 * (5/18) = 20 m/s. Time = Distance / Speed = 450 m / 20 m/s = 22.5 seconds.

A train 150 meters long is moving at a speed of 72 km/h. How long will it take t

Practice Questions

Q1
A train 150 meters long is moving at a speed of 72 km/h. How long will it take to cross a bridge 300 meters long?
  1. 15 seconds
  2. 20 seconds
  3. 25 seconds
  4. 30 seconds

Questions & Step-by-Step Solutions

A train 150 meters long is moving at a speed of 72 km/h. How long will it take to cross a bridge 300 meters long?
  • Step 1: Identify the length of the train, which is 150 meters.
  • Step 2: Identify the length of the bridge, which is 300 meters.
  • Step 3: Calculate the total distance the train needs to cover to completely cross the bridge. This is the length of the train plus the length of the bridge: 150 m + 300 m = 450 m.
  • Step 4: Convert the speed of the train from kilometers per hour (km/h) to meters per second (m/s). The speed is 72 km/h. To convert, use the formula: Speed in m/s = Speed in km/h * (5/18). So, 72 * (5/18) = 20 m/s.
  • Step 5: Use the formula for time, which is Time = Distance / Speed. Here, the distance is 450 meters and the speed is 20 m/s. So, Time = 450 m / 20 m/s = 22.5 seconds.
  • Relative Motion – Understanding how to calculate the time taken for an object to cross a certain distance based on its speed.
  • Unit Conversion – Converting speed from km/h to m/s to ensure consistent units in calculations.
  • Distance Calculation – Adding the lengths of the train and the bridge to find the total distance that needs to be covered.
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