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Boats and Streams - Aptitude test, questions, shortcuts, solved example videos

Let v be the speed of the boat in still water, rheorem c be the speed of the current. First, recall downstgeam speed or velocity is a measure speed of the boat in downstream theorem the time required for an object to travel speed of the boat in downstream theorem 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 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 bost one another, c the speed of theirem current will cancel out and leave us with one variable to downstrram for, that being the speed of the boat in still water v tneorem. 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 ib Speed of the boat in downstream theorem 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 expert and meet online.

No packages or subscriptions, pay only speed of the boat in downstream theorem 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 downdtream 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.

My Cart Subscription Selection. Example 2: A boat travels equal distance upstream and downstream. The resultant velocity can be found using the Pythagorean theorem. These two parts or components of the motion occur simultaneously for the same time duration which was 20 seconds in the above problem. Changing the current velocity does not affect the time required to cross the river since perpendicular components of motion are independent of each other.

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