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Time taken by a train x metres long to c...

Time taken by a train x metres long to cross a pole = Time taken by the train to cover _______ meters.

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To solve the problem, we need to understand the relationship between the length of the train and the distance it needs to cover to completely cross a pole. ### Step-by-Step Solution: 1. **Identify the Length of the Train**: The length of the train is given as \( x \) meters. 2. **Understanding the Crossing of the Pole**: When a train crosses a pole, it needs to cover a distance equal to its own length to completely pass the pole. This is because the front of the train must reach the pole and then the entire length of the train must clear the pole. 3. **Distance Covered to Cross the Pole**: Therefore, the distance that the train needs to cover to completely cross the pole is also \( x \) meters. 4. **Time Taken to Cross the Pole**: The time taken by the train to cross the pole is equal to the time taken by the train to cover this distance of \( x \) meters. 5. **Final Conclusion**: Thus, the time taken by a train \( x \) meters long to cross a pole is equal to the time taken by the train to cover \( x \) meters. ### Final Answer: The time taken by the train to cover \( x \) meters. ---
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PEARSON IIT JEE FOUNDATION-TIME AND DISTANCE -Test Your Concepts (Very Short Answer Type Questions)
  1. 1m/s = km/h

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  2. Time taken by a car to travel 20 km with 10 km/h is 2 h. (True/False)

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  3. Time taken by a train x metres long to cross a pole = Time taken by th...

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  4. A person travels a distance of 20 km at a speed of 10 km/h. How much d...

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  5. What is the average speed of the car if it travels a distance of d km ...

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  6. A car covers a certain distance in 2 h at 10 km/h. in what time can it...

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  7. If a car travels a distance of 20 km in 2 h and another 10 km in 3 h, ...

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  8. A train 250 m long is running at a uniform speed of 25 m/s, then the t...

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  9. A train 300 m long is running at a uniform speed of 20 m/s, then the t...

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  10. The time taken for two trains of lengths, a metres and b metres, runni...

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  11. Two bodies move away from each other with speeds of 10 km/h and 5 km/h...

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  12. The time taken by a train l metres long running at x km/h to pass a ma...

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  13. The time taken by the faster train of length a metres running at x km/...

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  14. A train 120 m long is running with a speed of 64 km/h . What time is t...

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  15. If the speed of a boat downstream is x km/h and the speed upstream is ...

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  16. The speed of a boat in still water is 9 km/h and the speed of the stre...

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  17. If the speed of a boat in still water is u km/h and the speed of the ...

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  18. The speed of a boat downstream is 9 km/h and the speed upstream is 5 k...

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  19. The speed of a boat downstream is 9 km/h and the speed upstream is 5 k...

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  20. A person covers a distance of 300 km in 6 h by travelling at a constan...

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