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A 450-meter long train crosses a bridge 650 meters long in 36 seconds. What is speed (in km/hr) of the train?
- a)110
- b)125
- c)150
- d)95
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A 450-meter long train crosses a bridge 650 meters long in 36 seconds....
Length of train = 450 m
Length of bridge = 650 m
To cross a bridge train has to cover a distance which is sum of the length of the train and length of the bridge.
∴ Distance covered to cross the bridge
= 450 m + 650 m
= 1100 m
Time required = 36 seconds
∴ Speed = Distance covered/Required time = 1100/36 = (1100/1000)/(36/3600)
= 110 km/hr
Most Upvoted Answer
A 450-meter long train crosses a bridge 650 meters long in 36 seconds....
Understanding the Problem
To find the speed of the train, we need to determine the total distance it travels while crossing the bridge and then calculate the speed using the time taken.
Total Distance Traveled
- The length of the train = 450 meters
- The length of the bridge = 650 meters
Thus, the total distance the train covers while crossing the bridge is:
- Total distance = Length of train + Length of bridge
- Total distance = 450 meters + 650 meters
- Total distance = 1100 meters
Time Taken
The time taken to cross the bridge is given as 36 seconds.
Calculating Speed
Speed is calculated using the formula:
- Speed = Distance / Time
Substituting the known values:
- Speed = 1100 meters / 36 seconds
- Speed = 30.56 meters/second (approximately)
Converting to km/hr
To convert the speed from meters per second to kilometers per hour, use the conversion factor (1 m/s = 3.6 km/hr):
- Speed in km/hr = 30.56 m/s * 3.6
- Speed in km/hr = 109.98 km/hr (approximately)
Rounding it gives us 110 km/hr.
Conclusion
The calculated speed of the train is approximately 110 km/hr, which corresponds to option 'A'.
To find the speed of the train, we need to determine the total distance it travels while crossing the bridge and then calculate the speed using the time taken.
Total Distance Traveled
- The length of the train = 450 meters
- The length of the bridge = 650 meters
Thus, the total distance the train covers while crossing the bridge is:
- Total distance = Length of train + Length of bridge
- Total distance = 450 meters + 650 meters
- Total distance = 1100 meters
Time Taken
The time taken to cross the bridge is given as 36 seconds.
Calculating Speed
Speed is calculated using the formula:
- Speed = Distance / Time
Substituting the known values:
- Speed = 1100 meters / 36 seconds
- Speed = 30.56 meters/second (approximately)
Converting to km/hr
To convert the speed from meters per second to kilometers per hour, use the conversion factor (1 m/s = 3.6 km/hr):
- Speed in km/hr = 30.56 m/s * 3.6
- Speed in km/hr = 109.98 km/hr (approximately)
Rounding it gives us 110 km/hr.
Conclusion
The calculated speed of the train is approximately 110 km/hr, which corresponds to option 'A'.
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A 450-meter long train crosses a bridge 650 meters long in 36 seconds. What is speed (in km/hr) of the train?a)110b)125c)150d)95Correct answer is option 'A'. Can you explain this answer?
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