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Find the length of the train travelling with 90 kmph if it crossed a 600m bridge in 56 seconds ?
- a)950 m
- b)900 m
- c)850 m
- d)800 m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the length of the train travelling with 90 kmph if it crossed a 6...
Let x be the length of the train,
Speed = 90 kmph = 90*(5/18) = 25 m/s
Distance = Speed*time
x+600 = 25*(56) = 1400
x = 1400 - 600 = 800m
So the answer is option D.
Most Upvoted Answer
Find the length of the train travelling with 90 kmph if it crossed a 6...
Understanding the Problem
To find the length of the train, we know the following information:
- Speed of the train: 90 km/h
- Length of the bridge: 600 m
- Time taken to cross the bridge: 56 seconds
Convert Speed to m/s
First, we convert the speed from kilometers per hour to meters per second:
- 1 km/h = 5/18 m/s
- Therefore, 90 km/h = 90 * (5/18) = 25 m/s
Calculate Distance Covered
Next, we calculate the total distance covered by the train while crossing the bridge:
- Distance = Speed × Time
- Distance = 25 m/s × 56 s = 1400 m
Calculate Length of the Train
Now, we can find the length of the train:
- The total distance covered (1400 m) includes the length of the bridge (600 m) and the length of the train (L).
- Thus, we have the equation:
Total Distance = Length of Train + Length of Bridge
- Therefore, L = Total Distance - Length of Bridge
- L = 1400 m - 600 m = 800 m
Conclusion
The length of the train is 800 meters.
Hence, the correct answer is option 'D', 800 m.
To find the length of the train, we know the following information:
- Speed of the train: 90 km/h
- Length of the bridge: 600 m
- Time taken to cross the bridge: 56 seconds
Convert Speed to m/s
First, we convert the speed from kilometers per hour to meters per second:
- 1 km/h = 5/18 m/s
- Therefore, 90 km/h = 90 * (5/18) = 25 m/s
Calculate Distance Covered
Next, we calculate the total distance covered by the train while crossing the bridge:
- Distance = Speed × Time
- Distance = 25 m/s × 56 s = 1400 m
Calculate Length of the Train
Now, we can find the length of the train:
- The total distance covered (1400 m) includes the length of the bridge (600 m) and the length of the train (L).
- Thus, we have the equation:
Total Distance = Length of Train + Length of Bridge
- Therefore, L = Total Distance - Length of Bridge
- L = 1400 m - 600 m = 800 m
Conclusion
The length of the train is 800 meters.
Hence, the correct answer is option 'D', 800 m.
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Find the length of the train travelling with 90 kmph if it crossed a 600m bridge in 56 seconds ?a)950 mb)900 mc)850 md) 800 mCorrect answer is option 'D'. Can you explain this answer?
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