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A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?
- a)8 sec
- b)8.5 sec
- c)9 sec
- d)9.5 sec
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A train 150 m long is running with a speed of 68 km/h. In what time wi...
Net relative speed = (68 – 8)
km/h = 60 km/h
km/h = 60 km/h
Most Upvoted Answer
A train 150 m long is running with a speed of 68 km/h. In what time wi...
Given:
- Length of the train = 150 m
- Speed of the train = 68 km/h
- Speed of the man = 8 km/h
To find:
- Time taken by the train to pass the man
Formula:
- Time = Distance / Speed
Calculation:
The speed of the train is given in km/h, so we need to convert it into m/s.
- Speed of the train = 68 km/h = (68 * 1000) / (60 * 60) m/s = 68000 / 3600 m/s = 68/3 m/s
The speed of the man is given in km/h, so we need to convert it into m/s.
- Speed of the man = 8 km/h = (8 * 1000) / (60 * 60) m/s = 8000 / 3600 m/s = 4/9 m/s
The relative speed of the train with respect to the man is the difference between their speeds.
- Relative speed = (68/3) - (4/9) m/s = (204/9) - (4/9) m/s = 200/9 m/s
The time taken by the train to pass the man can be calculated using the formula:
- Time = Distance / Speed
Substituting the values:
- Time = 150 / (200/9) = 150 * (9/200) = 1350/200 = 6.75 seconds
Therefore, the train will pass the man in approximately 6.75 seconds.
Answer:
The correct option is 9 seconds.
- Length of the train = 150 m
- Speed of the train = 68 km/h
- Speed of the man = 8 km/h
To find:
- Time taken by the train to pass the man
Formula:
- Time = Distance / Speed
Calculation:
The speed of the train is given in km/h, so we need to convert it into m/s.
- Speed of the train = 68 km/h = (68 * 1000) / (60 * 60) m/s = 68000 / 3600 m/s = 68/3 m/s
The speed of the man is given in km/h, so we need to convert it into m/s.
- Speed of the man = 8 km/h = (8 * 1000) / (60 * 60) m/s = 8000 / 3600 m/s = 4/9 m/s
The relative speed of the train with respect to the man is the difference between their speeds.
- Relative speed = (68/3) - (4/9) m/s = (204/9) - (4/9) m/s = 200/9 m/s
The time taken by the train to pass the man can be calculated using the formula:
- Time = Distance / Speed
Substituting the values:
- Time = 150 / (200/9) = 150 * (9/200) = 1350/200 = 6.75 seconds
Therefore, the train will pass the man in approximately 6.75 seconds.
Answer:
The correct option is 9 seconds.
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A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer?
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A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer?.
A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer?.
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A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?a)8 secb)8.5 secc)9 secd)9.5 secCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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