## Problems on Trains

a km/ hr = a * 5/18 m/s

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a m /s = a * 18/5 km /hr

- Time taken by a train of length l metres to pass a pole or a standing man or a signal post is equal to the time taken by the train to cover l metres
- Time taken by a train of length l metres to pass a stationary object of length b metres is the time taken by the train to cover (l + b) metres
- Suppose two trains or two bodies are moving in the same direction at u m/ s and v m / s where the value of u is greater than the value of v then their relative speed is equal to ( u- v )m / s
- Suppose two trains or two bodies are moving in the opposite direction at u m/ s and v m / s where the value of u is greater than the value of v then their relative speed is equal to ( u + v )m / s
- If two trains of length a metres and b metres are moving in the same direction at u m/ s and v m/ s then the time taken by the faster train to cross the slower train = ( a + b) / ( u – v ) sec
- If two trains start at the same time from point A and B towards each other and after crossing they take a and b sec in reaching B and A respectively then A’s speed : B’s speed = root of b : root of a

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