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And, the direction against the stream is called upstream. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it forde 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of strram water current respectively? Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours.

What is the speed of the boat in still water? A man can row at 5 kmph in still water. If the velocity of boat and stream problems class 10 force is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

Let the boat and stream problems class 10 force distance be x km. A boat and stream problems class 10 force takes 90 minutes less to travel lroblems miles downstream than to travel the same distance upstream.

If the speed of the boat in still water is 10 mph, the speed of the forrce is: Explanation: Let the speed of the stream x mph. A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, oroblems is the speed of 01 boat in still water? Explanation: Let the speed of the boat in still water be x kmph. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 forde along the current in 10 minutes.

How long will it take to go 5 km in stationary water? Explanation: 3 2. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. A man rows to a place at a distance of km and comes back to the starting point. A man rows to a place 48 km distant and come back in 14 hours.

He finds that he can row 4 km with the stream in the same time as 3 flrce against the stream. The rate of the stream is: Explanation: Suppose he move 4 km downstream in x hours.

A man takes forcr as long to row a distance against the stream as to row the same abd in favour of the stream. The ratio of the speed of the boat in still water and the stream is: Explanation: Let man's rate upstream be x kmph. Boats and Streams Problems Part 2. A man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes.

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The first of these three questions was answered above; the resultant velocity of the boat can be determined using the Pythagorean theorem magnitude and a trigonometric function direction. The second and third of these questions can be answered using the average speed equation and a lot of logic. The solution to the first question has already been shown in the above discussion.

We will start in on the second question. The river is meters wide. That is, the distance from shore to shore as measured straight across the river is 80 meters.

The time to cross this meter wide river can be determined by rearranging and substituting into the average speed equation. The distance of 80 m can be substituted into the numerator. But what about the denominator? What value should be used for average speed?

With what average speed is the boat traversing the 80 meter wide river? Most students want to use the resultant velocity in the equation since that is the actual velocity of the boat with respect to the shore. And the diagonal distance across the river is not known in this case. If one knew the distance C in the diagram below, then the average speed C could be used to calculate the time to reach the opposite shore.

Similarly, if one knew the distance B in the diagram below, then the average speed B could be used to calculate the time to reach the opposite shore. And finally, if one knew the distance A in the diagram below, then the average speed A could be used to calculate the time to reach the opposite shore. It requires 20 s for the boat to travel across the river.

During this 20 s of crossing the river, the boat also drifts downstream. Part c of the problem asks "What distance downstream does the boat reach the opposite shore? And once more, the question arises, which one of the three average speed values must be used in the equation to calculate the distance downstream? The distance downstream corresponds to Distance B on the above diagram. The speed at which the boat covers this distance corresponds to Average Speed B on the diagram above i.

The mathematics of the above problem is no more difficult than dividing or multiplying two numerical quantities by each other. The mathematics is easy!

The difficulty of the problem is conceptual in nature; the difficulty lies in deciding which numbers to use in the equations.

That decision emerges from one's conceptual understanding or unfortunately, one's misunderstanding of the complex motion that is occurring. The motion of the riverboat can be divided into two simultaneous parts - a motion in the direction straight across the river and a motion in the downstream direction. These two parts or components of the motion occur simultaneously for the same time duration which was 20 seconds in the above problem.

The decision as to which velocity value or distance value to use in the equation must be consistent with the diagram above. The boat's motor is what carries the boat across the river the Distance A ; and so any calculation involving the Distance A must involve the speed value labeled as Speed A the boat speed relative to the water.

Similarly, it is the current of the river that carries the boat downstream for the Distance B ; and so any calculation involving the Distance B must involve the speed value labeled as Speed B the river speed. Together, these two parts or components add up to give the resulting motion of the boat. That is, the across-the-river component of displacement adds to the downstream displacement to equal the resulting displacement.

And likewise, the boat velocity across the river adds to the river velocity down the river to equal the resulting velocity. A man rows a certain distance downstream in X hrs and returns the same distance in Y hrs. Question: Ramesh can row a certain distance downstream in 6 hrs and returns the same distance in 9 hrs.

Formula 4: A man rows a certain distance downstream in X hrs and returns the same distance in Y hrs. Let us now jump to the questions, 1. A boat covers a distance of 30 km in 3 hrs in the direction of stream and covers same distance in 5 hrs in opposite direction of the stream.

Find speed of the boat in still water. Therefore, in how much time will it cover a distance of 70 km downstream? Find out his speed in still water. How much distance does he cover in 2 hrs during upstream? How much time will it take to cover km in still water? SBI PO. IBPS Clerk.

Forgot Password? Popular Latest Rated. Report Error Kindly mention the details of the error here Let the distance between A and B be x km. A 8 kmph. B 6 kmph. A km. B km. C km. D km.

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