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From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?
- a)210 and 140
- b)162.5 and 187.5
- c)245 and 130
- d)175 and 200
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
From the time the front of a train enters a platform, it takes 25 seco...
Train speed = 54 km/h
Time = 25 sec for travelling length of train and length of platform
Man speed = 9 km/h
Relative speed of train with respect to man = 45 km/h
Time = 14 sec
So, length of train = time x speed
Length of train = 35 x 5 m = 175 m
Length of platform + length of train = speed x time
Length of platform 375 -175 = 200 m
Time = 25 sec for travelling length of train and length of platform
Man speed = 9 km/h
Relative speed of train with respect to man = 45 km/h
Time = 14 sec
So, length of train = time x speed
Length of train = 35 x 5 m = 175 m
Length of platform + length of train = speed x time
Length of platform 375 -175 = 200 m
Most Upvoted Answer
From the time the front of a train enters a platform, it takes 25 seco...
Given data:
- Speed of the train = 54 km/h
- Speed of the man = 9 km/h
- Time taken to pass the platform = 25 seconds
- Time taken to pass the man = 14 seconds
Calculating the length of the train:
- The time taken to pass the platform is the time taken for the train to cover the length of the platform as well as its own length.
- Speed of the train = 54 km/h = 15 m/s (1 km/h = 1000 m/3600 s)
- Let the length of the train be 'x' meters
- Distance traveled by the train in 25 seconds = x + length of the platform
- x + length of the platform = 54 * 25
- x + length of the platform = 1350
- Similarly, when passing the man, the distance traveled by the train in 14 seconds = x + length of the man
- x + length of the man = 54 * 14
- x + length of the man = 756
- Solving the above two equations, we get length of the train (x) = 175 meters
Calculating the length of the platform:
- Length of the platform = Distance traveled by the train in 25 seconds - length of the train
- Length of the platform = 1350 - 175 = 1175 meters
Therefore, the length of the train is 175 meters and the length of the platform is 1175 meters, which is closest to option 'D' (175 and 200).
- Speed of the train = 54 km/h
- Speed of the man = 9 km/h
- Time taken to pass the platform = 25 seconds
- Time taken to pass the man = 14 seconds
Calculating the length of the train:
- The time taken to pass the platform is the time taken for the train to cover the length of the platform as well as its own length.
- Speed of the train = 54 km/h = 15 m/s (1 km/h = 1000 m/3600 s)
- Let the length of the train be 'x' meters
- Distance traveled by the train in 25 seconds = x + length of the platform
- x + length of the platform = 54 * 25
- x + length of the platform = 1350
- Similarly, when passing the man, the distance traveled by the train in 14 seconds = x + length of the man
- x + length of the man = 54 * 14
- x + length of the man = 756
- Solving the above two equations, we get length of the train (x) = 175 meters
Calculating the length of the platform:
- Length of the platform = Distance traveled by the train in 25 seconds - length of the train
- Length of the platform = 1350 - 175 = 1175 meters
Therefore, the length of the train is 175 meters and the length of the platform is 1175 meters, which is closest to option 'D' (175 and 200).
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From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer?
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From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer?.
From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From the time the front of a train enters a platform, it takes 25 seconds for the back ofthe train to leave the platform, while travelling at a constant speed of 54 km/h. At thesame speed, it takes 14 seconds to pass a man running at 9 km/h in the same directionas the train. What is the length of the train and that of the platform in meter,respectively?a)210 and 140b)162.5 and 187.5c)245 and 130d)175 and 200Correct answer is option 'D'. Can you explain this answer?.
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