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Speed of Boat = y [ (t 2 + t 1) / (t 2 � t 1)] A man can row certain distance downstream in 2 hours and returns the same distance upstream in 6 hours. If the speed of stream is km/h, then the speed of man in still water is. = [ (6+2) / ()] = * (8/4) = * 2 = 3km/h. 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. Let the speed downstream be a km/hr and the speed upstream be b km/hr, then: Speed in still water =1/2 (a+b) km/hr. Rate of stream . Jun 12, �� Downstream = (u+v)Km/hr, where �u� is the speed of the boat in still water and �v� is the speed of the stream. Speed of Boat in Still Water = ? (Downstream Speed + Upstream Speed) Speed of Stream = ? (Downstream Speed � Upstream Speed) Average Speed of Boat = { (Upstream Speed ? Downstream Speed) / Boat�s Speed in Stii Water}. 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.� This a very simple topic and require to direct application of Formulas to solve the question. Formulas for Boats and Streams Questions with Basic Concepts. 1. What is Downstream: It is related to the direction of water flow in respect with the object, when the object or body is flowing in direction of stream it is called as Downstream. 2. What is Upstream: It is also related to the direction of water flow in respect with the object, when the object or body is flowing in opposite direction then the stream is called myboat353 boatplans boats and streams problems are based on the concepts of time, spe. 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 & 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.� Upstream: If a boat or a swimmer moves in the opposite direction of the stream, then it is called upstream. Downstream: If a boar or a swimmer moves in the same direction of the stream, then it is called downstream. When the speed of a boat or a swimmer is given, it usually means speed in still water. Formulae. Suppose the speed of boat in still water is u km/hr and the speed of the stream is v km/hr. Then: Upstream Speed: It is the speed of the boat against the stream = (u - v) km/hr.
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