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The ratio of speed of a man to a train is 2 :7. The length of the train is 490 m and crosses the same man standing on the platform in 5 seconds. Find the time taken by the man to cross a 420 m long stationary train?
- a)20 seconds
- b)15 seconds
- c)10 seconds
- d)30 seconds
- e)No error
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The ratio of speed of a man to a train is 2 :7. The length of the tra...
Given data:
- Ratio of speed of a man to a train is 2:7
- Length of the train is 490 m
- Time taken by the train to cross a man standing on the platform is 5 seconds
Calculating the speed of the train and the man:
- Let the speed of the man be 2x and the speed of the train be 7x
- Distance covered by the train to cross the man = Length of the train = 490 m
- Time taken by the train to cross the man = 5 seconds
Calculating the time taken by the man to cross a 420 m long stationary train:
- Let the time taken by the man to cross the 420 m long stationary train be T seconds
- Relative speed of the man and the stationary train = Speed of the man + Speed of the train = 2x + 7x = 9x
- Distance to be covered by the man = Length of the stationary train = 420 m
- Using the formula: Time = Distance/Speed, we get T = 420/9x = 46.67/x seconds
Solving for x:
- From the given data, we know that the time taken by the train to cross the man is 5 seconds
- Therefore, 490/7x = 5 seconds
- Solving for x, we get x = 14 m/s
Calculating the time taken by the man to cross the 420 m long stationary train:
- Substituting x = 14 m/s in the equation T = 46.67/x, we get T = 46.67/14 ≈ 3.33 seconds
Therefore, the time taken by the man to cross a 420 m long stationary train is approximately 3.33 seconds, which is closest to option B (15 seconds).
- Ratio of speed of a man to a train is 2:7
- Length of the train is 490 m
- Time taken by the train to cross a man standing on the platform is 5 seconds
Calculating the speed of the train and the man:
- Let the speed of the man be 2x and the speed of the train be 7x
- Distance covered by the train to cross the man = Length of the train = 490 m
- Time taken by the train to cross the man = 5 seconds
Calculating the time taken by the man to cross a 420 m long stationary train:
- Let the time taken by the man to cross the 420 m long stationary train be T seconds
- Relative speed of the man and the stationary train = Speed of the man + Speed of the train = 2x + 7x = 9x
- Distance to be covered by the man = Length of the stationary train = 420 m
- Using the formula: Time = Distance/Speed, we get T = 420/9x = 46.67/x seconds
Solving for x:
- From the given data, we know that the time taken by the train to cross the man is 5 seconds
- Therefore, 490/7x = 5 seconds
- Solving for x, we get x = 14 m/s
Calculating the time taken by the man to cross the 420 m long stationary train:
- Substituting x = 14 m/s in the equation T = 46.67/x, we get T = 46.67/14 ≈ 3.33 seconds
Therefore, the time taken by the man to cross a 420 m long stationary train is approximately 3.33 seconds, which is closest to option B (15 seconds).
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Community Answer
The ratio of speed of a man to a train is 2 :7. The length of the tra...
Let the speed of man = 2x
Speed of train = 7x
According to the question,
490/7x = 5
x = 70/5 = 14
Required time = 420/28 = 15 seconds
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The ratio of speed of a man to a train is 2 :7. The length of the train is 490 m and crosses the same man standing on the platform in 5 seconds. Find the time taken by the man to cross a 420 m long stationary train?a)20 secondsb)15 secondsc)10 secondsd)30 secondse)No errorCorrect answer is option 'B'. Can you explain this answer?
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The ratio of speed of a man to a train is 2 :7. The length of the train is 490 m and crosses the same man standing on the platform in 5 seconds. Find the time taken by the man to cross a 420 m long stationary train?a)20 secondsb)15 secondsc)10 secondsd)30 secondse)No errorCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of speed of a man to a train is 2 :7. The length of the train is 490 m and crosses the same man standing on the platform in 5 seconds. Find the time taken by the man to cross a 420 m long stationary train?a)20 secondsb)15 secondsc)10 secondsd)30 secondse)No errorCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of speed of a man to a train is 2 :7. The length of the train is 490 m and crosses the same man standing on the platform in 5 seconds. Find the time taken by the man to cross a 420 m long stationary train?a)20 secondsb)15 secondsc)10 secondsd)30 secondse)No errorCorrect answer is option 'B'. Can you explain this answer?.
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