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Boats Streams Formulas, Tricks with Examples - EduDose

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 an 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 Speed Of The Boat Upstream And Downstream List c represent the speed of the current, we are given the following:. With this, we arrive at the following equations for the upstream and downstream speeds of the boat:. To solve for the speed of the current cfirst 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 both sides of equation by 6. Get a free answer to a quick problem. Most questions answered within 4 hours. Choose an the speed of the boat upstream groups and meet online.

No packages or subscriptions, pay only for the time the speed of the boat upstream groups need. Add comment. Hi Sabrina, Let's take each part of the speed of the boat upstream groups 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, The speed of the boat upstream groups. Ask a question for free Get a free answer to a quick problem.

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Find the speed of the boat and the river. COVID 'breakthrough cases' are 'extremely unlikely'. Find the speed of the boat in still water if the current rate is 6 mph. The referred lessons are the part of this textbook under the section " Word problems ", the topic " Travel and Distance problems ". Username: Password: Register in one easy step! We use cookies to ensure you have the best browsing experience on our website. How fast must the boat go on the lake in order for it to serve the ferry operator's needs?

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