A train passes 150 m long platform in 10 seconds and a man standing on the platform in 8 seconds. Find the speed of the train?

Let the length of the train be x m Length of the platform = 150 m Now, (x+150)/10 = x/8 8x+ 1200 = 10x 1200 = 2x x = 600 Length of the train = 600 m Speed of the train = 600/8 = 75 m/s = 75× 18/5 = 270 km/h

- A train started from station P and preceded towards station Q at a speed of 84 km/h. 40 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 792 km, at what distance from station P will the trains meet?
- Two trains running on parallel track with lengths 140 m and 40 m respectively. When travelling in opposite directions they are observed to pass each other in 10 seconds, but when they are running in the same direction at the rates as before, the faster train passes the other in 20 seconds. Find the speed of the two trains in km per hour.
- If the ratio of speed of train C and Train D is 5:8 and takes 20 seconds to completely cross each other in same direction. If the ratio of their length is 4:3 then find the speed of slow train.
- There are two trains A and B. A start from point X at 6 AM towards point Y. Another train B starts at 7 AM from point X. If they meet at 8 AM and speed of A is 50 km/hr, while that of B is 45 km/hr. Find distance between X and Y.
- A train 480 metre long takes 32 sec to cross a man running at a speed of 6 km/hr in the direction same to that of train. What is the speed of the train?
- Two cars start from a place with a speed of 60 km/hr at an interval of 15 minutes. What is the speed of a man coming from the opposite direction towards the place if he meets the cars at an interval of 12 minutes?
- Time is taken by two trains running in opposite directions to cross a man standing on the platform in 26 seconds and 16 seconds respectively. It took 18 seconds for the trains to cross each other. What is the ratio of their speeds?
- A train 200 metre long takes 30 sec to cross a man running at a speed of 4 km/hr in the direction opposite to that of train. What is the speed of the train?
- A 200 m long train overtakes another 160 m long train in 24 sec. If the speed of the slower train is 72 kmph, what is the speed of the faster train?
- A train crosses a platform which is 120 m long in 14 seconds and the same train crosses a static pole in 8 seconds. Find the length and speed of the train.

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