Relative Speed Questions

A policeman notices a thief from a distance of 300m. The thief starts running and the policeman chases him. The thief and the policeman run at speeds of 10km/h and 12km/h, respectively. What will be the distance between them (in m) after 6 minutes?

4 hours after a goods train passed a station, another train travelling at a speed of 65km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours, what is the speed of the goods train?

Rohit walks at 17km/hr and Ruchira cycles at 22km/hr towards each other. What was the distance between them when they started if they meet after 44 minutes?

A train leaves Hyderabad at 4:00 A.M. and reaches Vijayawada at 8:00 A.M. the same day. Another train leaves Vijayawada at 6:00 A.M. and reaches Hyderabad at 9:30 A.M the same day. At what time do the two trains cross each other?

In a circular race of $2,500\text{ m}$, Reeta and Geeta start running in the same direction from the same point and at the same time with speeds of $36\text{ km/h}$ and $54\text{ km/h}$, respectively. After how much time will they meet for the first time on the track?

A train of length 180 metres crosses a tree in 15 seconds and crosses another train of the same length travelling in opposite direction in 20 seconds. What is the speed (in km/hr) of the second train?

A thief is stopped by a policeman from a distance of 500 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 10km/h and that of the policeman as 18km/h, how far would the thief have run before he is overtaken?

A train passes two bridges 400m and 295m long in 75 seconds and 60 seconds respectively. How much time (in seconds) will the train take to cross another train of length 325m running on parallel tracks at the speed of 97.2km/h in the same direction?

A goods train, travelling at constant speed, crossed two persons walking in the same direction (as that of the train) in 11.6 seconds and 11.8 seconds, respectively. The first person was walking at 5.85 km/h, while the second was walking at 6.3 km/h. What was the speed of the train (in km/h)?

A train starts moving from X at 5:00 p.m. and moves towards Y with a speed of 55km/hr. Another train starts moving from Y at 7:00 p.m. and moves towards X with a speed of 40km/hr. Both of them meet at 11:00 p.m. at Z. What is the ratio of XZ and YZ?