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algebra rate problems
UPSTREAM: This refers to anything having to do with the exploration and production of oil and natural gas. Geologic surveys and any information gathering used to locate specific areas where minerals are likely to be found is commonly called �exploration.� The term �upstream� also includes the steps involved in the actual drilling and bringing oil and natural gas resources to the surface, referred to as �production�. MIDSTREAM� The final sector of the oil and natural gas industry is known as �downstream.� This includes everything involved in turning crude oil and natural gas into thousands of finished products we depend on every day. Some of the more obvious products are fuels like gasoline, diesel, kerosene, jet fuels, heating oils and asphalt for building roads. In the stream boat problems, a boat goes upstream or downstream. You will have to answer the questions about the speed of the boat and the speed of the river. Here we will see many such examples and try to get as familiar with these concepts as possible. Let us start with the visualization of the downstream problems and try to develop formulae. These formulae will help us establish a method that will accurately and swiftly solve these problems. Suggested Videos.� Example 1: A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. Problem 1. A canoe traveled Downstream with the current and went a distance of 15 miles in three hours. On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip. Find the rate of the current. myboat355 boatplans Solution.� Let u = the canoe speed in still water (the speed relative to water), in mph. v = the speed of the current. When canoe travels downstream, its speed relative to the bank of the river is the sum u + v, and it is equal to. u + v = (speed =). When canoe travels upstream, its speed relative to the bank of the river is the difference u - v, and it is equal to. u - v = (again, speed =).

Dear Reader, problems under boats and streams are not only easy to solve but interesting as well. 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 now. In this type, you will be finding speed of boat in still water i. You have to remember a very simple formula as shown below.

Find the speed of the boat in still water. Solution: From the question, 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 first. 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 back. 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 back. 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 assumptions, you can easily calculate upstream and downstream speeds as shown below. In this type, you have to form linear equations based on conditions given.

You 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: You 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 below.

Also, you know the formula for speed of the current. Ready for short practice test? Start Test Here. You can type your doubts in the comments section below. You can also suggest improvements to the above tutorial. Homepage Tutorials. Tags: Boats and Streams Problems.

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