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A man is standing on a railway bridge, which is 70 m long. He finds that a train crosses the bridge in 5 and a half second, but crosses him in 2 seconds. Find the length of the train and its speed.
- a)40m, 72km/hr
- b)45m, 73 km/hr
- c)49m, 70 km/hr
- d)39m, 75 km/hr
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A man is standing on a railway bridge, which is 70 m long. He finds th...
⇒ Let the length of the train be x metres
⇒ Then, the train covers x metres in 2 seconds and (x + 70) m in 11/2 seconds
⇒ (x + 70)/x = 5.5/2
⇒ x = 40
⇒ Speed = 40/2 m/sec = (20 × 18/5) km/hr = 72 km/hr
Most Upvoted Answer
A man is standing on a railway bridge, which is 70 m long. He finds th...
Given information:
- Length of the railway bridge = 70 m
- Time taken by the train to cross the bridge = 5.5 seconds
- Time taken by the train to cross the man = 2 seconds
Approach:
To find the length of the train and its speed, we can use the concept of relative velocity.
Step 1: Find the speed of the train:
The time taken by the train to cross the man is 2 seconds. Since the length of the bridge is 70 m, the train travels an additional distance of 70 m in these 2 seconds. Therefore, the speed of the train can be calculated as:
Speed = Distance/Time
Speed = 70 m / 2 s
Speed = 35 m/s
Step 2: Find the length of the train:
Let's assume the length of the train is 'x' meters.
When the train crosses the man, it covers a distance equal to the length of the train itself.
Therefore, the total distance covered by the train while crossing the bridge and the man is:
Distance = length of bridge + length of train
Distance = 70 m + x m
The time taken by the train to cross the bridge is 5.5 seconds. So, the speed of the train can also be calculated using this information:
Speed = Distance/Time
Speed = (70 m + x m) / 5.5 s
Speed = (70 + x)/5.5 m/s
Since the speed of the train remains constant, it can be equated using the two calculations of speed obtained above:
35 m/s = (70 + x)/5.5 m/s
Solving the equation:
To solve the equation, we can cross-multiply and simplify:
35 * 5.5 = 70 + x
192.5 = 70 + x
x = 192.5 - 70
x = 122.5 m
Step 3: Calculate the speed of the train in km/hr:
The speed of the train is given in m/s. To convert it to km/hr, we multiply it by (18/5):
Speed = (35 * 18) / 5 km/hr
Speed = 126 km/hr
Conclusion:
Based on the calculations, the length of the train is 122.5 m and its speed is 126 km/hr.
Therefore, the correct answer is option 'A' - 40 m, 72 km/hr.
- Length of the railway bridge = 70 m
- Time taken by the train to cross the bridge = 5.5 seconds
- Time taken by the train to cross the man = 2 seconds
Approach:
To find the length of the train and its speed, we can use the concept of relative velocity.
Step 1: Find the speed of the train:
The time taken by the train to cross the man is 2 seconds. Since the length of the bridge is 70 m, the train travels an additional distance of 70 m in these 2 seconds. Therefore, the speed of the train can be calculated as:
Speed = Distance/Time
Speed = 70 m / 2 s
Speed = 35 m/s
Step 2: Find the length of the train:
Let's assume the length of the train is 'x' meters.
When the train crosses the man, it covers a distance equal to the length of the train itself.
Therefore, the total distance covered by the train while crossing the bridge and the man is:
Distance = length of bridge + length of train
Distance = 70 m + x m
The time taken by the train to cross the bridge is 5.5 seconds. So, the speed of the train can also be calculated using this information:
Speed = Distance/Time
Speed = (70 m + x m) / 5.5 s
Speed = (70 + x)/5.5 m/s
Since the speed of the train remains constant, it can be equated using the two calculations of speed obtained above:
35 m/s = (70 + x)/5.5 m/s
Solving the equation:
To solve the equation, we can cross-multiply and simplify:
35 * 5.5 = 70 + x
192.5 = 70 + x
x = 192.5 - 70
x = 122.5 m
Step 3: Calculate the speed of the train in km/hr:
The speed of the train is given in m/s. To convert it to km/hr, we multiply it by (18/5):
Speed = (35 * 18) / 5 km/hr
Speed = 126 km/hr
Conclusion:
Based on the calculations, the length of the train is 122.5 m and its speed is 126 km/hr.
Therefore, the correct answer is option 'A' - 40 m, 72 km/hr.
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A man is standing on a railway bridge, which is 70 m long. He finds that a train crosses the bridge in 5 and a half second, but crosses him in 2 seconds. Find the length of the train and its speed.a)40m, 72km/hrb)45m, 73 km/hrc)49m, 70 km/hrd)39m, 75 km/hrCorrect answer is option 'A'. Can you explain this answer?
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A man is standing on a railway bridge, which is 70 m long. He finds that a train crosses the bridge in 5 and a half second, but crosses him in 2 seconds. Find the length of the train and its speed.a)40m, 72km/hrb)45m, 73 km/hrc)49m, 70 km/hrd)39m, 75 km/hrCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man is standing on a railway bridge, which is 70 m long. He finds that a train crosses the bridge in 5 and a half second, but crosses him in 2 seconds. Find the length of the train and its speed.a)40m, 72km/hrb)45m, 73 km/hrc)49m, 70 km/hrd)39m, 75 km/hrCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is standing on a railway bridge, which is 70 m long. He finds that a train crosses the bridge in 5 and a half second, but crosses him in 2 seconds. Find the length of the train and its speed.a)40m, 72km/hrb)45m, 73 km/hrc)49m, 70 km/hrd)39m, 75 km/hrCorrect answer is option 'A'. Can you explain this answer?.
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