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A train has a length of 150 meters . it is passing a man who is moving at 2 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train
- a)182 km/hr
- b)180 km/hr
- c)152 km/hr
- d)169 km/hr
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A train has a length of 150 meters . it is passing a man who is moving...
Explanation:
Length of the train, l = 150m
Speed of the man , Vm= 2 km/hr
Relative speed, Vr = total distance/time = (150/3) m/s = (150/3) x (18/5) = 180 km/hr
Relative Speed = Speed of train, Vt - Speed of man (As both are moving in the same direction)
=> 180 = Vt - 2
=> Vt = 180 + 2 = 182 km/hr
Most Upvoted Answer
A train has a length of 150 meters . it is passing a man who is moving...
Given:
Length of the train = 150 meters
Speed of the man = 2 km/hr
Time taken to cross the man = 3 seconds
To find:
Speed of the train
Solution:
Let the speed of the train be v km/hr.
When the train is crossing a stationary object, the distance covered is equal to the length of the train.
When the train is crossing a moving object in the same direction, the relative speed between the train and the object is the difference in their speeds.
So, the distance covered by the train in 3 seconds when crossing the man = (150 + 2 x 3) meters (as the man is also moving in the same direction)
Relative speed between the train and the man = v - 2 km/hr
We know that,
Distance = Speed x Time
Therefore,
(150 + 2 x 3) = (v - 2) x (3/3600)
Simplifying the above equation, we get:
150.006 = (v - 2) x (1/1200)
150.006 x 1200 = v - 2
180.007 = v
Therefore, the speed of the train = 180.007 km/hr, which is approximately equal to 182 km/hr.
Hence, option A is the correct answer.
Length of the train = 150 meters
Speed of the man = 2 km/hr
Time taken to cross the man = 3 seconds
To find:
Speed of the train
Solution:
Let the speed of the train be v km/hr.
When the train is crossing a stationary object, the distance covered is equal to the length of the train.
When the train is crossing a moving object in the same direction, the relative speed between the train and the object is the difference in their speeds.
So, the distance covered by the train in 3 seconds when crossing the man = (150 + 2 x 3) meters (as the man is also moving in the same direction)
Relative speed between the train and the man = v - 2 km/hr
We know that,
Distance = Speed x Time
Therefore,
(150 + 2 x 3) = (v - 2) x (3/3600)
Simplifying the above equation, we get:
150.006 = (v - 2) x (1/1200)
150.006 x 1200 = v - 2
180.007 = v
Therefore, the speed of the train = 180.007 km/hr, which is approximately equal to 182 km/hr.
Hence, option A is the correct answer.
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Community Answer
A train has a length of 150 meters . it is passing a man who is moving...
Let train speed= x m/s
Man speed= 2*5/18= 5/9 m/sX - 5/9= 150/3X= 50+ 5/9X= 455/9*18/5= 182
Man speed= 2*5/18= 5/9 m/sX - 5/9= 150/3X= 50+ 5/9X= 455/9*18/5= 182
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