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 Boat Upstream And Downstream Difference 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 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 sleed of c.
Then we can set these to speed of the boat upstream and downstream korean equal to one another and solve for c. That is. Notice speed of the boat upstream and downstream korean 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 qnd by the elimination technique combining the two Speed Of The Boat In Downstream Key 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 speed of the boat upstream and downstream korean of 1.
Dividing both sides of equation by 6. Get a koean answer to a quick problem. Most questions answered within 4 hours. Choose an expert and meet dowsntream. 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 for free Get a free answer to a quick problem. Find an Online Tutor Now Choose an expert and meet online.
Can it be used for fishing. Decide what series of sails you'll operate ! It is not as formidable since it sounds nonetheless .
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