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A boat takes 3.10 hours to travel 35.0 km down a river; then 6.10 hours to return_...

Question

A boat takes 3.10 hours to travel 35.0 km down a river; then 6.10 hours to return_

A boat takes 3.10 hours to travel 35.0 km down a river; then 6.10 hours to return_



Answers

Boating A Mississippi riverboat can travel 30 kilometers downstream in 3 hours and can make the return trip in 5 hours. Find the speed of the boat in still water.

Number 15. We're looking down on Earth like an overhead view. Somebody's sitting here and then somebody else's flying directly over them in the Southeast direction with a speed of 100. And then five seconds later, a firecracker that's 200 meters over this way from there explodes. And we wouldn't know where that firecracker is with respect, Teoh, where this flying person is and that firecracker went off five seconds later. Well, if it was five seconds later, if this is going 100 meters per second after five seconds, this will have gone 500 meters and said that was going southeast. So I'm taking this to be exactly southeast in the middle here. So this is a 45 degree angle. This is a 45 degree angle. I confined to these. I confined the components of that displacement here. I'm just going to dio sign. I guess I could you sign our coastline? It's a square, since this is 45 degrees. So I'm doing Sign of 45 is the opposite side of like pot news. And for that I get 354. So this is 354 meters. This is 354 meters because it's 45 degrees. So now I wouldn't know where those firecrackers with respect to where this flying person is. I went this. We're supposed to assume that this person that is at the origin so I'm finding that. Well, you until from subtracting year that this part is the 3 54 minus the 200. So this is 1 54 And until this vertical part does the same is that 3 54? So my answer. Um, this going that direction. So it's gonna be negative. 1 54 I had plus positive. 3 54 Jay. Huh? What's the displacement? It maters?

So given different information about a boat flowing are moving down river and then up river. I can calculate the V for each part. Um 30 kilometers divided by three hours would be 10 kilometers per hour for the down river part and 30 divided by five would be six kilometers per hour for the upstream part. Now, this is the velocity of the boat. Uh, with respect to the ground, so we can say is the velocity of the boat with respect to the river. Plus the velocity of the river with respect to the ground is equal to that amount. The velocity of the boat with respect to ground 10 kilometers per hour for our first part, um and then velocity of boat with respect to the river plus velocity of river with respect to the ground, um is equal to six kilometers per hour. But we know in this case that this is the boat with respect to the, um, eyes in the opposite direction. This is negative six now, so it's going the other way and we're saying up river is negative. So I've got two equations and two unknowns. I want to know the velocity of the river with respect to the ground. So velocity of boat with respect to the river is equal to 10 minus velocity of river with respect to the ground. And I could take this equation into a substitution cross over here. So I have 10 minus philosophy of river with respect to the ground. Yeah, and I should have said the boat lost to the boat with respect the river. Now the boat's going against the river. So from the rivers point of view, the boats going negative. So it's gonna be the negative of this. Plus velocity of river with respect to the ground equals negative six. So carry the negative inside. Distribute. Thank you. Groups could make it six. I'm gonna add tend to both sides and add the velocity of the river with respect to ground together. So to velocity river with respect to ground is equal to native six plus 10 is four and you divide out the two to both sides and you get velocity off the river with respect to the ground is two kilometers per hour positive. So it's obviously downstream. It's going with itself with the stream. So is the answer for

In this problem, I want to determine the speed of a boat in still water and then what's going on with the current, given this condition. So when the trip is down river it's 60 miles and three hours. So 60 miles in three hours is 20 mph. And then going upstream The 60 miles in five hours is 60, divided by five. So this is 12 mph and I need to write some equations here. So if I'm gonna use you is my still water speed and then V. Is what's going on with the current. Now if I'm traveling down river my current is gonna make me go faster. So you plus V is going to equal that 20. And then if I'm going upstream, the current's gonna make me go slower. So you minus V. Is 12. And now I can use elimination to solve the system, I add the two equations together. You plus you is to you eliminate the V's 20 plus 12 is 32, Divide by two, and U equals 16, so the still water speed of the boat Is 16 mph. And then I want to see what's going on with the current, so I'm gonna use the U plus V. But instead of U plus V, it's now 16 Plus V equals 20. Subtract the 16 and V equals four, so the current Is going four mph.

Percent Number 48. He has given that 14 takes 1.5 hours to travel for months and options. All right, but the same boat takes, um, three hours. Okay. To come back to the same point in option, we have to find the velocity and spirit of the boat and the current solar days. So I assume that a bigger boat EULEX screwed up. Couldn't they were going to wait. Okay? And it does draw the table for that. Uh, yes, the distance. The cover. What is that? The orders of time. This is the downstream, about two distance covered. There it is, girl meds and time is 1.5 hours upstream. Also same. It has to come back with some distance. But I'm taking this three years They survived. Moving downstream is moving in the same person that our current So the red will be express Why brought to our speed and the would have been correct. World woman upstream is going of Portuguese. And to get our current so the right to me x minus y not on this you can back 115 and to express why is it not talk to him implies. Express wide talk to it. 21. Okay, so to under 1.5. But it is about eight. Question one. Then we'll do the after him. Listen today into expect Explain to us Why is it panto? Right? One place explaining why Sea Porto will be part of a three. As you can do for prison now, the question wanted to find it. A look of sandwich so express why is equal to weigh next month is fine. Musical report if you are district question We got two weeks while my cancer part took 12. Some place X is equal to goodbye to in the quarter to six. What is right? You put the question Why one? Why is it called? It's why is he going to do it? Minus thanks. Mm by the cartel. Any bonuses delivered to eight. Minus 6 to 2. So uh huh Speed it up Book And you can't come six. My spot up and go Credit is rhetorical Too much for our that incense If you want to Very fast. You can pull these values Any question One and one ticket expressway Physical toe eight. Mind explaining difficult for thank you


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