River Speed Calculations for Relativity

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Homework Help Overview

The problem involves calculating the speed of a river based on the speed of a boat traveling with and against the current. The context is rooted in relative motion and involves basic algebraic equations to express the relationship between the boat's speed and the river's speed.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss setting up equations based on the boat's speed with and against the current. There is an attempt to derive two equations from the given speeds and solve for the river's speed.

Discussion Status

Some participants have provided guidance on forming equations based on the problem's conditions. There is an ongoing exploration of how to manipulate these equations to find the river's speed, with some participants expressing uncertainty about the solution process.

Contextual Notes

Participants are working under the assumption that the speeds provided are accurate and are focused on deriving the river's speed from these values. There is a lack of consensus on the final solution, as some participants assert answers while others question the reasoning.

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Homework Statement


A boat traveling with the current has a speed of 10km/h.
The same boat travels against the same current at the speed of 6km/h.
At what speed is the river flowing?


Homework Equations





The Attempt at a Solution


10km/h - 6km/h = 4km/h ?
 
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No. That's not right.

If the speed of the boat is b, and the speed of the river is r... what is the speed of the boat traveling with the river in terms of b and r... equate this to 10.

this gives 1 equation..

what is the speed of the boat traveling against the river in terms of b and r... equate this to 6.

this gives a 2nd equation... so you have 2 equations with 2 unknowns.

solve for r speed of the river.
 
Last edited:
how do i do that? = S
 
Do what learningphysics suggested. If the speed of the boat is b and the speed of the river is r, they add and give 10 if they are going in the same direction. They subtract and give 6 if they are going in opposite directions. Write down those two equations. And then solve them.
 
b + r = 10, b = 10-r
b - r = 6

10-r-r = 6
10-2r = 6
4 = 2r
r = 2 ?

: )
 
r=2. That says it all.
 
Yup r = 2 km/hr is the answer.
 

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