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Derivation of formula 6 (boats and streams) Let the speed of a man in still water = $x$ km/hr speed of the stream = $y$ km/hr. Let distance be $d$ km Let time taken to travel downstream = $t_1$ Let time taken to travel upstream = $(t_1+t)$ Speed downstream $=(x+y)$ Speed upstream $=(x-y)$ $d=(x+y)t_1 \cdots(1)$ $d=(x-y)(t_1+t)\\. Jan 12, �� 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. The concept of Boats & Streams is easy to understand and is related to the topic of Time, Speed and Distance. Let us start the topic with basic concepts. 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 $=t$ Speed Of Boat And Stream Formula Words $\dfrac{d}{x-y}+\dfrac{d}{x+y}=t\\ d(x+y)+d(x-y)=t(x+y)(x-y)\\ 2dx=t(x+y)(x-y)\\ 2dx=t(x^2-y^2)\\ d=\dfrac{t(x^2-y^2). }{2x}$. Upstream Downstream formula. Classical Physics formulas list online.� This formula guides you to calculate the speed of a boat in upstream and downstream based on the speed of the boat in still water and speed of the stream or river flowing at a particular speed. Formula: Speed in upstream (km/hr) = a + b Speed in downstream (km/hr) = a - b. Where, a = Speed of a boat in still water (km/hr) b = Speed of the stream (km/hr).
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