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DIRECTIONS: Choose the most appropriate answer:
Q. 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?
Verified Answer
DIRECTIONS: Choose the most appropriate answer:Q. A train 150 m long i...
Relative speed between man and train = 68 – 8 = 60 km /h = 
time taken to cross the man =  = 9 sec
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DIRECTIONS: Choose the most appropriate answer:Q. A train 150 m long i...
Understanding the Problem
To determine how long it takes for the train to pass the man, we first need to calculate the relative speed between the train and the man.
Step 1: Convert Speeds to m/s
- The speed of the train is 68 km/h.
- To convert to m/s:
Speed (m/s) = Speed (km/h) × (5/18)
Speed of the train = 68 × (5/18) = 18.89 m/s
- The speed of the man is 8 km/h.
- Speed of the man = 8 × (5/18) = 2.22 m/s
Step 2: Calculate Relative Speed
Since both are moving in the same direction, we subtract the speed of the man from the speed of the train:
- Relative Speed = Speed of Train - Speed of Man
- Relative Speed = 18.89 m/s - 2.22 m/s = 16.67 m/s
Step 3: Calculate Time to Pass
To find the time it takes for the train to pass the man, we use the formula:
Time = Distance / Speed
- The distance to be covered is the length of the train, which is 150 m.
- Time = 150 m / 16.67 m/s ≈ 9 seconds
Conclusion
Therefore, the time taken for the train to completely pass the man is approximately 9 seconds, which corresponds to option 'C'.
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DIRECTIONS: Choose the most appropriate answer:Q. 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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DIRECTIONS: Choose the most appropriate answer:Q. 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 DIRECTIONS: Choose the most appropriate answer:Q. 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 DIRECTIONS: Choose the most appropriate answer:Q. 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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