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**Important Formulas - Boats and Streams**

**1. Downstream**

In water, the direction along the stream is called downstream.

**2. Upstream**

In water, the direction against the stream is called upstream.

3. Let the speed of a boat in still water be u km/hr and the speed of the stream be v km/hr, then

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr.

4. Let the speed downstream be a km/hr and the speed upstream be b km/hr, then

**Some more shortcut methods**

5. Assume that a man can row at the speed of x km/hr in still water and he rows the same distance up and down in a stream which flows at a rate of y km/hr. Then his average speed throughout the journey

6. Let the speed of a man in still water be x km/hr and the speed of a stream be y km/hr. If he takes tt hours more in upstream than to go downstream for the same distance, the distance

7. A man rows a certain distance downstream in t_{1} hours and returns the same distance upstream in t_{2} hours. If the speed of the stream is y km/hr, then the speed of the man in still water

8. A man can row a boat in still water at x km/hr in a stream flowing at y km/hr. If it takes him tt hours to row a place and come back, then the distance between the two places

9. A man takes nn times as long to row upstream as to row downstream the river. If the speed of the man is x km/hr and the speed of the stream is y km/hr, then

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