WebThe fundamental equation is that distance = time rate. Suppose that the speed of the boat in still water is s mph and the time it takes to travel the 10 miles upstream is t hours. Travelling upstream is travelling against the current so the going upstream the boat travels at s - 3 mph. Write the fundamental equation above for the trip upstream. WebIn this problem, we will use the formula of distance in terms of velocity and time. d = vt. However, in this problem, we have two unknowns, the speed of the boat and the same time it took to travel 19 miles downstream and 9 miles upstream, therefore we need to equations having the same two unknowns to solve the problem and for that, we will use the …
Lesson Wind and Current problems - Algebra
WebJul 4, 2024 · The speed of the boat in still water = 15 km/h Concept: Downstream speed of boat = Speed of boat in still water + Speed of stream Formula used: S = D/T (Where S = Speed, D = Distance, and T = Time) Calculation: ⇒ The speed of boat in downstream = 15 + 3 = 18 km/h = 18/60 km/minutes = 0.3 km/minutes WebAug 27, 2014 · To find the speed of the boat in still water we have to write two equations: one for motion up the river and another one – against the river. d/t1 = v0 +v. d/t2 = v0-v. By adding these two equations we will obtain. d (1/t1 + 1/t2) = 2 v0. Substituting the numbers given into the last equation and dividing both sides by 2 we will find v0 = 10mi ... stranded on ice minnesota
[Solved] The ratio of speed of boat in upstream to speed of boat in d
WebApr 5, 2024 · "What is the speed of the boat in still water? I. The speed downstream is 12 kmph. II. The speed upstream is 4 kmph. III. In a to and fro journey between two... WebJan 6, 2024 · Speed in upstream direction = Speed of boat in still water - Speed of current Where, U = speed in the upstream direction, x = speed of the boat in still water y = speed of the current Calculation: x = 10 km/h According to the question, Speed of current = 40% of the speed of the boat ⇒ y = 40% × 10 ⇒ y = 4 km/h Now, Speed in the upstream direction WebLet the speed of the boat in still water is 'b' km/hr and the speed of the stream is 'w' km/hr. When the boat goes downstream then the speed will be (b + w) km/hr as in this case the water will take the boat along with it. When the boat goes upstream then the speed will be (b - w) km/hr as in this case the water will offer resistance to the boat. rotorua marathon 2022 entry