Derivation of formula 8 (boats and streams). Let the speed of a man in still water = $x$ km/hr speed of the stream = $y$ km/hr. Assume he travels a distance $d$ km upstream and come back the same distance downstream, and total time taken = $t$ hours. Speed downstream $=(x+y)$ Speed upstream $=(x-y)$. Time taken to travel upstream $=\dfrac{d}{x-y}$ Time taken to travel downstream $=\dfrac{d}{x+y}$. Total time $=t$ $\dfrac{d}{x-y}+\dfrac{d}{x+y}=t\\ d(x+y)+d(x-y)=t(x+y)(x-y)\\ 2dx=t(x+y)(x-y)\\ 2dx=t(x^2-y^2)\\ d=\dfrac{t(x^2-y^2). }{2x}$. Boats and Streams Formula pages has all the conceptual Formulas for Boats and Streams. Speed downstream = (u + v) km/hr Speed upstream = (u � v) km/hr.� A man rows a certain distance downstream in t1 hours and returns the same distance upstream in t2 hours. If the speed of the stream is y km/hr, then the speed of the man in still water. = y(t2 + t1). (t2 � t1). Additional Formulas for Boats and Streams 4. 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 t hours to row a place and come back, then the distance between the two places is. = t(x2 � y2). 2x. Boats & Streams is one of the favorite areas of examiners. Questions from this area appear in a significant proportion in the quant section of almost all the competitive exams. Before starting with the questions, go through the basic concepts of the topic. Important Terms. Still Water: If the speed of the water is zero, i.e. water is stationary, then it is called still water.� If a man is capable of rowing at the speed of u km/hr in still water, rows the equal distance up and down the stream which flows at a rate of v km/hr, then the average speed throughout the journey. A man can row a boat in still water at u km/hr. A stream Boat And Stream Formula Indiabix 20 is flowing at v km/hr and it take t hrs more in upstream than to go downstream for the same distance, then the distance is calculated by = (u2 � v2)t/2v km.
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