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In how much time will a 150 m long train running at a speed of 58 km/hr cross a man running in the same direction at a speed of 4 km/hr?
- a)12 second
- b)8 second
- c)16 second
- d)10 second
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In how much time will a 150 m long train running at a speed of 58 km/h...
When two bodies move in the same direction, their relative speed is the difference of their individual speeds
⇒ Relative speed of train & man = 58 – 4 = 54 km/hr. = 54 × 5/18 = 15 m/sec.
∵ Time taken to cross the running man = Length of train/Speed of train
⇒ Time taken to cross the running man = 150/15 = 10 sec.
Most Upvoted Answer
In how much time will a 150 m long train running at a speed of 58 km/h...
To find the time taken by the train to cross the man, we need to calculate the relative speed between the train and the man. The relative speed is the difference between their speeds.
Given:
Speed of the train = 58 km/hr
Speed of the man = 4 km/hr
To convert the speeds to the same unit, we convert km/hr to m/s by dividing by 3.6.
So, the speed of the train in m/s = 58 * (1000/3600) = 14.44 m/s
The speed of the man in m/s = 4 * (1000/3600) = 1.11 m/s
The relative speed between the train and the man is the difference between their speeds.
Relative speed = Speed of the train - Speed of the man = 14.44 m/s - 1.11 m/s = 13.33 m/s
Now, we can calculate the time taken by the train to cross the man using the formula:
Time = Distance / Speed
Given:
Distance = 150 m
Relative Speed = 13.33 m/s
Substituting the values in the formula:
Time = 150 m / 13.33 m/s = 11.25 seconds
Since time cannot be in decimal, we round off the time to the nearest whole number.
So, the time taken by the train to cross the man is approximately 11 seconds.
Therefore, option D) 10 seconds is the correct answer.
Given:
Speed of the train = 58 km/hr
Speed of the man = 4 km/hr
To convert the speeds to the same unit, we convert km/hr to m/s by dividing by 3.6.
So, the speed of the train in m/s = 58 * (1000/3600) = 14.44 m/s
The speed of the man in m/s = 4 * (1000/3600) = 1.11 m/s
The relative speed between the train and the man is the difference between their speeds.
Relative speed = Speed of the train - Speed of the man = 14.44 m/s - 1.11 m/s = 13.33 m/s
Now, we can calculate the time taken by the train to cross the man using the formula:
Time = Distance / Speed
Given:
Distance = 150 m
Relative Speed = 13.33 m/s
Substituting the values in the formula:
Time = 150 m / 13.33 m/s = 11.25 seconds
Since time cannot be in decimal, we round off the time to the nearest whole number.
So, the time taken by the train to cross the man is approximately 11 seconds.
Therefore, option D) 10 seconds is the correct answer.
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In how much time will a 150 m long train running at a speed of 58 km/hr cross a man running in the same direction at a speed of 4 km/hr?a)12 secondb)8 secondc)16 secondd)10 secondCorrect answer is option 'D'. Can you explain this answer?
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