# Time & Distance, Trains, Boats & Streams Tricks and Formulas

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## Time & Distance

Suppose a man covers a distance at ‘x’ kmph and an equal distance at ‘y’ kmph, and then average speed during his whole journey is kmph

## Trains

- Lengths of trains are ‘x’ km and ‘y’ km, moving at ‘u’ kmph and ‘v’ kmph in the same direction, then the time taken y the over-taker train to cross the slower train is hrs
- Time taken to cross each other hrs
- If two trains start at the same time from two points A and B towards each other and after crossing they take a and b hours in reaching B and A respectively.

## Boats & Streams

If the speed of a boat in still water is and the speed of the stream is v , then: . and

If the speed downstream is a km ⁄ hr and the speed upstream is b km ⁄ hr, then: Speed in still water . and Rate of stream km ⁄ hr.