how many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
How many seconds will a 500-meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer:
To calculate the time taken by the train to cross the man walking, we need to consider the relative speed of the train with respect to the man.
Relative speed = Speed of the train - Speed of the man
Given that the speed of the train is 63 km/hr and the speed of the man is 3 km/hr in the same direction, the relative speed would be:
Relative speed = 63 km/hr - 3 km/hr = 60 km/hr
Converting the relative speed to m/s:
Relative speed = 60 km/hr * (5/18) = 50/3 m/s = 50/3 m/s
Now, we can calculate the time taken by the train to cross the man using the formula:
Time = Distance / Speed
Given that the distance is 500 meters, and the relative speed is 50/3 m/s, we can calculate:
Time = 500 meters / (50/3 m/s) = (500 * 3) / 50 seconds = 30 seconds
Therefore, the 500-meter long train will take 30 seconds to cross the man walking with a speed of 3 km/hr in the direction of the moving train.