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A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?
- a)500 m
- b)360 m
- c)480 m
- d)400 m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A train is traveling at 48 kmph . It crosses another train having half...
Let the length of the train traveling at 48 kmph be 2x meters.
And length of the platform is y meters.
Relative speed of train = (48+42) kmph
= (90*5/18) = 25 m/sec;
And 48 kmph = 48*5/18 = 40/3 m/sec.
According to the question,
(2x +x)/25 = 12;
Or, 3x = 12*25 = 300;
Or, x = 300/3 = 100m
Then, length of the train = 2x = 100*2 = 200m.
200+y/(40/3) = 45;
600+3y = 40*45;
Or, 3y = 1800-600 = 1200;
Or, y = 1200/3 = 400 m.
Length of the platform = 400 m.
Most Upvoted Answer
A train is traveling at 48 kmph . It crosses another train having half...
Given information:
- Speed of the train = 48 kmph
- Speed of the other train (traveling in opposite direction) = 42 kmph
- Time taken to cross the other train = 12 seconds
- Time taken to pass the railway platform = 45 seconds
Calculating the length of the train:
To find the length of the train, we need to calculate the relative speed between the two trains and the time taken to cross each other.
- Relative speed = Speed of train + Speed of other train
= 48 kmph + 42 kmph
= 90 kmph
Since the relative speed is in kmph, we need to convert it into meters per second (m/s) as the time is given in seconds.
- Relative speed = 90 kmph = (90 * 1000) m / (60 * 60) s
= 25 m/s
Now, we can calculate the length of the train using the formula:
Length of train = Relative speed * Time
= 25 m/s * 12 s
= 300 meters
Calculating the length of the platform:
To find the length of the platform, we need to subtract the length of the train from the total distance covered while passing the platform.
- Distance covered while passing the platform = Speed of train * Time
= 48 kmph * 45 s
= (48 * 1000) m / (60 * 60) s * 45 s
= 600 meters
Since the distance covered includes the length of the train as well, we subtract the length of the train to get the length of the platform.
- Length of platform = Distance covered - Length of train
= 600 meters - 300 meters
= 300 meters
Therefore, the length of the platform is 300 meters, which corresponds to option D.
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A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer?
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A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer?.
A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform?a)500 m b)360 mc)480 md)400 mCorrect answer is option 'D'. Can you explain this answer?.
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