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Important Formula. 1. If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u+v) km/hr. Speed upstream = (u-v) km/hr. 2. If the speed downstream is a km/hr and the speed upstream is b km/hr, then: Speed in still water = 1/2 (a+b) km/hr. Rate of stream = 1/2(a-b) km/hr. Solved example. A boat is said to go downstream if it is moving along the direction of the stream. The net speed of the boat Algebra Upstream Downstream Problems Map in this case is called downstream speed. A boat is said to go upstream if it is moving in the direction opposite to the direction of the stream. The net speed of the boat in this case is called upstream speed. A boat covers 24km upstream and 36km downstream in 6 hours while it cover 35km upstream and 24km downstream in 6 ? hours. The velocity of the current is ans:2km/hr Difficulty Level: Easy Moderately easy Difficult Basic Formula: Speed of the stream = ? (a-b) km/hr Answer with Explanation: Let the rate upstream = x km / hr and. 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 Boat Upstream And Downstream Questions List 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.� Boats and streams is one of the most common topics in quantitative section of all the job entrance myboat363 boatplans is also included in Aptitude section of many job test in companies like TCS, Infosys etc. 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. In the stream boat problems, a boat goes upstream or downstream. You will have to answer the questions about the speed of the boat and the speed of the river. Here we will see many such examples and try to get as familiar with these concepts as possible. Let us start with the visualization of the downstream problems and try to develop formulae. These formulae will help us establish a method that will accurately and swiftly solve these problems.� The Downstream Formula. Consider an observer sitting on the banks of a river or a stream. Let us say that this observer measures the speed of the river as u km/hr. A man is rowing downstream and with respect to the river measures his velocity as v km/hr. Then the velocity of the boat as seen from the banks = (u + v) km/hr.
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