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 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 travel in the same direction at $59\text{km/hr}$ and $32\text{km/hr}$ and the faster train passes a man in the slower train in $16$ seconds. Find the length of the faster train.

A train is running at a speed of $86\text{ km/h}$ on a straight railway track and a small car on a parallel road is running at a speed of $40\text{ km/h}$. How long (in s) will the train take to cross the car completely if the train is $490\text{ m}$ long and they are running in opposite directions?

A policeman chases a thief on a straight road. The policeman catches the thief in 15 minutes if he drives with a speed of 60 km/h and catches the thief in 0.5 hours if he drives with a speed 45 km/h. What should be his driving speed (in km/h) to catch the thief in just 10 minutes?

Two trains start at the same time from stations P and Q and travel towards each other at the speeds of 75 km/h and 100 km/h, respectively. When they meet, it is found that one train has travelled 50 km more than the other. The distance (in km) between two stations is:

Two trains of equal length take 10 s and 20 s, respectively, to cross a pole. If these trains are moving in the same direction, then how long will they take to cross each other?

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 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 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?

Rohit and Dinesh are 64km apart. Rohit can walk at a speed of 15km/hr and Dinesh at the speed of 17km/hr. In how many hours will they meet if they are travelling towards each other?

Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:

A started running towards north direction at 6:00 a.m. B also started running towards north direction at 10:00 a.m. At what time will they meet if the speeds of A and B are in the ratio 3:7 and they started from the same point?

In a circular path of 619 m, Preeti and Rani start walking in opposite directions from the same point at the speed of 2.85 km/h and 5.4 km/h, respectively. When they will meet for the first time approximately?