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A train 110 metres long is running with a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that of train?
- a)5 sec
- b)6 sec
- c)7 sec
- d)10 sec
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A train 110 metres long is running with a speed of 60 km/h. In what ti...
Relative speed of train for man = speed of train + speed of man = (60 + 6) km/hr
= 55/3 m / sec
Distance travelled by train while crossing man = length of train.
Length of train = 110 metres
Time taken = D/S
= 55/3 m / sec
Distance travelled by train while crossing man = length of train.
Length of train = 110 metres
Time taken = D/S
Most Upvoted Answer
A train 110 metres long is running with a speed of 60 km/h. In what ti...
Understanding the Problem
To determine the time it takes for a train to pass a man running in the opposite direction, we need to calculate the relative speed between the train and the man.
Given Data
- Length of the train: 110 meters
- Speed of the train: 60 km/h
- Speed of the man: 6 km/h
Calculating the Relative Speed
Since the man is running in the opposite direction, we add their speeds:
- Relative speed = Speed of the train + Speed of the man
= 60 km/h + 6 km/h
= 66 km/h
Converting Speed to Meters per Second
To find the time, we need to convert the speed from km/h to m/s:
- 1 km/h = 5/18 m/s
So,
Relative speed in m/s = 66 km/h × (5/18)
= 18.33 m/s
Calculating the Time to Pass the Man
The time taken to pass the man can be calculated using the formula:
Time = Distance / Speed
In this case, the distance is the length of the train:
- Distance = 110 meters
- Speed = 18.33 m/s
Thus,
Time = 110 meters / 18.33 m/s
≈ 6 seconds
Conclusion
The train will take approximately 6 seconds to pass the man who is running in the opposite direction. Therefore, the correct answer is option 'B'.
To determine the time it takes for a train to pass a man running in the opposite direction, we need to calculate the relative speed between the train and the man.
Given Data
- Length of the train: 110 meters
- Speed of the train: 60 km/h
- Speed of the man: 6 km/h
Calculating the Relative Speed
Since the man is running in the opposite direction, we add their speeds:
- Relative speed = Speed of the train + Speed of the man
= 60 km/h + 6 km/h
= 66 km/h
Converting Speed to Meters per Second
To find the time, we need to convert the speed from km/h to m/s:
- 1 km/h = 5/18 m/s
So,
Relative speed in m/s = 66 km/h × (5/18)
= 18.33 m/s
Calculating the Time to Pass the Man
The time taken to pass the man can be calculated using the formula:
Time = Distance / Speed
In this case, the distance is the length of the train:
- Distance = 110 meters
- Speed = 18.33 m/s
Thus,
Time = 110 meters / 18.33 m/s
≈ 6 seconds
Conclusion
The train will take approximately 6 seconds to pass the man who is running in the opposite direction. Therefore, the correct answer is option 'B'.
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A train 110 metres long is running with a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that of train?a)5 secb)6 secc)7 secd)10 secCorrect answer is option 'B'. Can you explain this answer?
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