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Dear Reader, problems under boats and streams are not only easy to solve but interesting as. In this tutorial, you will see 5 important types of problems. At the end of the tutorial, you will find short online practice test. Let us begin the tutorial. In this type, you will be finding speed of boat in still water i.

You have to remember a very simple formula as shown. Find the speed of the boat in still water. Solution: From the upstream and downstream in maths list, you can write down the below values. You have to substitute the above values in the below formula. This type is similar to type 1. But there is one difference. Here you have to find speed of stream and not the speed of the boat.

You have to use the below formula to find speed of stream. Example Question 2: A man rows downstream 30 km and upstream 12 km. If he takes 4 hours to cover each distance, then the velocity of the current is:. Solution: In this question, downstream and upstream speeds are not given directly. Hence you have to calculate them. Step 3: Calculation of speed of stream You have to substitute values got in steps 1 and 2 in below formula to find the speed of the stream.

In this type, you have to find distance of places based on given conditions. Below example will help you to understand better. If in a river running at 2 km an hour, it takes him 40 minutes to row to a place and return back, how far off is the place?

The man rows to a particular place and comes. You have to calculate the distance of this place. Let this distance be X. See the below diagram to understand clearly. Man starts from A, travels to B and comes upstream and downstream in maths list. Therefore, above equation becomes. Also we have calculated downstream and upstream speeds at the start see values 1 and 2. In question, you can see that the man takes 40 minutes to travel to B and come back to A.

You have to convert this to hours and apply in above equation. We are converting from minutes to hours because we are using speed values in km per hour units. It takes him twice as long to row up as to row down the river. Find the rate of the stream. Solution: Step 1: Calculate upstream and downstream speeds. Based on our Upstream And Downstream Problems Shortcuts Direction assumptions, upstream and downstream in maths list can easily calculate upstream and downstream speeds as shown.

In this type, you have to form linear equations based on conditions given. Upstream and downstream in maths list have to solve those equations to find the answer. Example Question 5: Kavin can row 10 km upstream and 20 km downstream in 6 hours. Also, he can row 20 km upstream and 15 km downstream in 9 hours. Find the rate of the current and the speed of the man in still water.

Solution: Upstream and downstream in maths list have to make below assumptions to form equations. You already know the below equation. If you are not clear about this, refer to the equation in type 3.

Note: To solve such linear equations, there is another simple shortcut. Here is the video link to that shortcut. From the values of u and v, you can find the downstream and upstream speeds as shown. Also, Upstream And Downstream Aptitude Questions you know upstream and downstream in maths list formula for speed of the current. Ready for short practice test?

Start Test Here. You can type your doubts in the comments section. You can also suggest improvements to the above tutorial. Homepage Tutorials. Tags: Boats and Streams Problems.

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2) A steamer goes downstream and covers the distance between two ports in 4 hrs., while it covers the same distance upstream in 5 hrs. If the speed of the stream is 2km/h, find the speed of the steamer in still water. Solution: Let speed of the steamer in still water = x km/h Speed of the steamer in downstream = x +2. 2. The direction against the stream in water is called upstream. 3. When the speed of a boat in still water is a miles/hr and the speed of the stream is b miles/hr, Speed downstream = (a + b) miles/hr Speed upstream = (a - b) miles/hr. 4. When the speed downstream is u miles/hr and the speed upstream stream is v miles/hr. In the downstream motion, the boat and the water move in the same direction and thus the speed is more than what it will be when the two are moving opposite to Upstream And Downstream Meaning In Maths 2020 each other. In other words, the upstream motion is slower. A man sitting in the boat will feel that the boat is moving but the water is still.

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