Relative Speed Questions

A train running at $23.6\text{km/hr}$ takes $30$ seconds to pass a platform. Next, it takes $11$ seconds to pass a man walking at $12.4\text{km/hr}$ in the opposite direction. Find the length of the train.

A policeman chases a thief. The speed of the policeman and thief are 18 km/h and 6 km/h, respectively. If the policeman started 10 minutes late, at what distance will he catch the thief?

A policeman spots a thief from a distance of 100 metres. When he starts running after the thief, the thief starts running as well. How far will the thief have to run before being overtaken if his speed is 8 km/h and the policeman's speed is 10 km/h?

A thief is noticed by a policeman from a distance of 500m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 12km/h and 13km/h, respectively. What is the distance between them after 12 minutes?

A train takes $11$ seconds and $10$ seconds to cross $2$ men who are walking in the same direction of the train at the speed of $6\text{km/hr}$ and $5\text{km/hr}$ respectively. Find the speed of the train.

Two trains are moving in opposite directions at $29\text{ km/h}$ and $25\text{ km/h}$. The faster train crosses a man sitting in the slower train in 6 seconds. Find the length of the faster train.

A thief is spotted by a policeman from a distance of 250 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is $16\text{ km/h}$ and that of the policeman is $20\text{ km/h}$, how far would the thief have run before he is caught?