Discussion of Questions on Trains

Two trains start towards each other and meet somewhere in between. After that they reach their destinations after 16 and 9 hours respectively. What is the speed of the second train, if the first one travels at 120 km/h?

Two trains start simultaneously from two stations separated by 560 km. Their speeds are 30 km/h and 40 km/h. Just at the time when they started, a bird that was sitting on the engine of one of them, began to fly towards the other train. On reaching that train, the bird started to fly to and fro towards the first train, and kept doing so till it was crushed. How much distance was travelled by the bird, if it was travelling at 90 km/h [Bank Exam 1989]?

A train met with an accident 100 km away from station X. It completed the remaining journey at 5/6 of its normal speed and reached its destination late by 2 hours. Had the accident taken place 300 km away, then it would have been late only by 1 hour. What is the normal speed of the train?

A passenger sitting inside a train travelling at 60 km/h observes that the time taken by the train to cross two bridges is in the ratio 7 : 4. What is the length of the second bridge if the first bridge is 280 meters long?

Two trains of length 120 meters each cross each other in 12 seconds if they travel in same direction. But if they are travelling in opposite directions, they take only 4 seconds. What is the speed of the faster train?

It takes 24 sec for a train travelling at 93 km/h to cross entirely another train half its length travelling in opposite direction at 51 km/h and passes a bridge in 66 sec. What is the length of the bridge in meters?

Train A crosses a stationery train B in 50 seconds and a pole in 20 seconds with the same speed. The length of train A is 240 meters. What is the length of the stationery train B?

Two boys A and B are running in the same direction at 6 km/h and 3 km/h, respectively. A is behind and B is some distance ahead of him. A train travelling at 54 km/h is coming from behind and the three of them come in such a position where B is at the head and A at the tail of the train. When the boys meet, the tail of the train is 320 meters away. What is the length of the train?

A train crosses two girls walking opposite to it in 36 and 30 seconds respectively. What is the length of the train if the speeds of the girls are 3 and 6 km/h?

A train whistles when it is at a certain distance from a tunnel XY. A cat is sitting inside the tunnel at a distance of 5/12 of the length of the tunnel as measured from the entrance X. If the cat runs towards the entrance, the train catches it at point X. And, if it runs towards the exit, then the train catches it at the point Y. What is the ratio of the speed of the train to that of the cat?