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Boat Upstream & Downstream - Tips, Tricks, Formula & Sample Questions

Let v be the speed of the boat in still water, and c be the speed of the current. First, recall that speed or velocity is a measure of the time required for good jon boats twitter object to travel a certain distance. The speed of an object is given by the following formula:.

Letting v represent the speed of the boat in still water and c represent the speed of the current, we are given the following:. With this, we arrive at the following equations for the good jon boats twitter and downstream speeds of the boat:. To solve for the speed of the current speed of boat upstream and downstream networkfirst solve each equation for the speed of the boat in still water v in terms of c.

Then we can set these to expressions equal to one another and solve for c. That is. Notice that if we add the two equations in part a to one another, c the speed of the current will cancel out and leave us with one variable to solve for, that being the speed of the boat in still water v :. Thus, the speed of the boat in still water i. Let's take each part of this multipart problem one step at a time and all will be clear. Our formula tells us that the distance D is the product of the rate or speeed R and the time T.

We can solve our two equations for c by the elimination technique combining the two equations and eliminating the variable v :. Equation 2: 6. Equation 5: Equation 6: We can use either equation from part a to calculate speed of boat in still water by plugging in our answer of 1.

Dividing speed of boat upstream and downstream network sides of equation by 6. Get a free answer to a quick problem. Most questions answered within 4 hours. Choose an expert and meet online. No packages or subscriptions, pay only for the time you need. Add comment. Hi Sabrina, Let's take each part of this multipart problem one step at a time and all will be clear.

Using our given info, we can use our distance formula to set up our 2 equations: 1. I trust the above will prove helpful to your understanding of this problem. Thanks for submitting your question. Regards, Jordan. Ask a question speed of boat upstream and downstream network free Get a free answer to a quick problem. Find an Online Tutor Now Choose an expert and meet online.

The distance travelled downstream in 12 minutes is? Also we have calculated downstream and upstream speeds at the start see values 1 and 2. Leave a Reply Cancel reply Your email address will not be published. Find the rate of the current and the speed of the man in still water. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Data inadequate.
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