A 60 m long ship is moving at a speed of 30 km/hr alongside a river shore. A 210 m long goods train is running on the shore at a speed of 78 km/hr. If the train is coming towards the ship, in how much time will the train cross a man who is sitting on the ship?
1). 5 sec
2). 7 sec
3). 9 sec
4). 11 sec
⇒ Speed with which the man is moving = Speed of ship = 30 km/hr
⇒ Speed of train = 78 km/hr
As, the train is coming towards the ship, this means that the man and the train are moving in opposite directions, hence, their relative speed is the sum of their individual speeds
⇒ Relative speed of man & train = 30 + 78 = 108 km/hr = 108 × (5/18) = 30 m/sec
Now,
⇒ Time taken to cross the man = Length of train/Relative speed of man & train = 210/30 = 7 sec7. A train is moving with a speed of 360 km/hr. Its speed in m/sec is