A train moving at a speed of 60 km/h crosses a man walking at 6 km/h in the same direction in 15 seconds. What is the length of the train?
Explanation
1. Find the Relative Speed:
When two objects move in the same direction, their relative speed is calculated by subtracting the slower speed from the faster speed.
Relative Speed=Speed of train−Speed of man
Relative Speed=60 km/h−6 km/h=54 km/h
2. Convert Speed from km/h to m/s:
Since the time is given in seconds and the options are in meters, we need to convert the relative speed into meters per second (m/s) by multiplying it by 185.
Speed in m/s=54×185
Speed in m/s=3×5=15 m/s
3. Calculate the Length of the Train:
When a train crosses a moving man, the total distance covered is equal to the length of the train.
Distance (Length of Train)=Relative Speed×Time
Length of Train=15 m/s×15 seconds
Length of Train=225 m
Correct Answer
The correct option is (a) 225 m.