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A boat can travel 15 miles up a river in 5 hrs. It can make the return trip in 3 hrs. Find the speed of the current and the speed of the boat in still water. Since the return trip takes fewer hours, it should be along the direction of the current, whereas the boat initially traveled against the current. Trending News. Police release cause of Tiger Woods's car wreck.
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You bless de over to into the plus you. And if we simplify this, this becomes the times V over v squared minus you square and this is your first answer. So the total time it will take for the boat to make a trip upstream and then back downstream is Devi over V squared minus you square. Now, for the next part of the question for the boat to go directly across the river, it must be angled against the current in such a way that the net velocity is straight across the river as we will show in the following diagram.
So from this diagram, the following equation weaken, see must be satisfied. The velocity off the boat relative.
To show VBS must equal to the velocity off the boat relative to the water plus the speed of the current, which is the velocity off the water relative to the shore, the ws and using the notation that we've shown in the diagram This is simply the plus you and so the speed of the boat relative to the shore BBs We simply equal to the square root off the squared minus you squared and the time it takes to go a distance The over to across the river is t one recover the distance off deal with too divided by the velocity which is the square root off the squared minus you squared which weaken right as D Invited by two times the square root of V squared minus you squared.
Now the same relationship would be in effect for across for crossing back to the starting point. So t two then is the same as T one. So that journey beck is the same as the same time as the journey across.
And so you can calculate again the total time, the total time t simply t one plus t two, which is just two times t one and this is D off the square, root off the squared minus you squared. So that would be the total time across that of Ah, back Now, Finally, we want to know why you has to be less than V. Well, if we is greater than you or these less than you, rather than the boat will not move upstream at all. So the speed of the boat will be less than the current, and the boat would not be able to move upstream.
The boat is to make a round trip� A ferryboat sails between towns directly opposite each other on a river, mov� A bo� Click 'Join' if it's correct. Problem A projectile is launched from ground level to the�. Keshav S. Discussion You must be signed in to discuss. Farnaz M. Other Schools. Zachary M. Hope College. Aspen F. University of Sheffield. Physics Mechanics Bootcamp Lectures Math Review - Intro In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true.
Algebra - Example 1 In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. Recommended Videos Problem 2. Problem Speed Of The Boat In Still Water Formula Not Work 3. Problem 4. Problem 5.
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