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A train 250 metres long, running with a ...

A train 250 metres long, running with a speed of 50 km/hr will pass an electric pole in -----

A

30 seconds

B

18 seconds

C

72 seconds

D

60 seconds

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how long it takes for a train 250 meters long, running at a speed of 50 km/hr, to pass an electric pole, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Length of the Train**: The length of the train is given as 250 meters. 2. **Identify the Speed of the Train**: The speed of the train is given as 50 km/hr. 3. **Convert Speed from km/hr to m/s**: To use the distance in meters, we need to convert the speed from kilometers per hour to meters per second. The conversion factor is: \[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \] Therefore, to convert 50 km/hr to m/s: \[ \text{Speed in m/s} = 50 \times \frac{5}{18} = \frac{250}{18} \approx 13.89 \text{ m/s} \] 4. **Calculate the Time Taken to Pass the Pole**: The time taken to pass the pole can be calculated using the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] Here, the distance is the length of the train (250 meters) and the speed is approximately 13.89 m/s: \[ \text{Time} = \frac{250 \text{ m}}{13.89 \text{ m/s}} \approx 18 \text{ seconds} \] 5. **Final Answer**: The time taken for the train to pass the electric pole is approximately 18 seconds. ### Conclusion: The correct option is **B) 18 seconds**.
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