**TIME AND DISTANCE**

- If a train crosses a pole means it crosses it’s own length.
- If a train crosses a bridge means it crosses (it’s own length + length of the bridge)
- When a train is passing another train completely (whether moving in the same direction or in opposite directions), it has to cover a distance equal to the sum of the lengths of the two trains.
- If two moving trains (in the same direction) crosses each other then relative speed = (speed of the faster trains—speed of the slower train)
- If two trains are moving in the opposite directions then the relative speed = (speed of the Ist train + Speed of the 2nd train)
- If without stoppage a train covers a distance at an average speed of x1km/hr and with stoppage it covers a distance at an average speed of x
_{2 }km/hr then it’s

#### Some Important points based on Trains

- When two trains are moving in opposite directions their speeds should be added to find the relative speed.
- When they are moving in the same direction the relative speed is the difference of their speeds.

- When a train passes a platform it should travel the length equal to the sum of the lengths of train & platform both.

#### Direct formulas based on Trains

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