Relative Speed Questions

Two trains start at the same time from two stations and proceed towards each other at speeds 88km/h and 75km/h, respectively. When they meet, it is found that one train has travelled 65km more than the other. What is the distance (in km) between the two stations?

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.

A policeman follows a thief, who is 840 meters ahead of him. The thief and the policeman run at a speed of 7.5 km/h and 9 km/h, respectively. What distance (in km) is run by the thief before he is nabbed by the policeman?

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.

Two boys start from the same place walking at the speeds of 5.5km/h and 3.5km/h, respectively, in the same direction. What time will they take to be 8.8km apart?

Two cars start towards each other, from two places A and B which are at a distance of $160\text{km}$. They start at the same time 8:10 AM. If the speeds of the cars are $50\text{km/h}$ and $30\text{km/h}$ respectively, they will meet each other at

A thief was spotted by a policeman at a distance of 1200m and he started chasing him. The thief ran 6.4km in 52 minutes and the policeman also ran the same distance in 40 minutes. Find the distance the thief had run before he was caught.

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 automobiles are $150$ kilometres apart and traveling towards each other. One automobile is moving at $60\text{km/h}$ and the other is moving at $40\text{km/h}$. In how many hours will they meet?

Two trains running in opposite directions cross a man standing on the platform in $27\text{seconds}$ and $17\text{seconds}$ respectively, and they cross each other in $23\text{seconds}$. The ratio of their speeds is:

A train is $150\text{m}$ long running at a speed of $41\text{km/h}$. A man is running at $11\text{km/h}$ in the same direction as the train. In what time will the train pass the man?

A boat running downstream covers a distance of $16\text{km}$ in $2\text{hours}$ while for covering the same distance upstream, it takes $4\text{hours}$. What is the speed of the boat in still water?

A and B are at a distance of $800\text{m}$. They start moving towards each other at $20\text{kmph}$ and $24\text{kmph}$ respectively. As they start, a bird sitting on the cap of A starts flying towards B, touches B and then returns towards A and so on, till they meet. What is the distance traveled by the bird, if its speed is $176\text{kmph}$?

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 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?

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 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.

A train $105\text{ metres}$ long travels at $60\text{km/hr}$. How long does it take to cross another train $175\text{ metres}$ long, running at $54\text{km/hr}$ in the same direction?

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?

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:

Find the time taken by a 150m long train, running at a speed of 63km/h, to cross another train of length 100m, running at a speed of 45km/h in the same direction.

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 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 train, 250 m long, passes a railway platform 200 m long, in 45 s with a uniform speed. What is the time (in seconds) taken by the train to pass a man cycling in the direction of the train at a speed of 6 km/h?

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?

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?

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:

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?

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?