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Comparing Upstream vs. Downstream Oil & Gas Operations The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you. Distance Rate Time Upstream x?c Downstream x+c Fill in the distance column with the numbers from the problem above and the value for speed in still water for x. Upstream-Downstream Problem with Rational Functions (Equations in the system cannot be arranged into the ax+by=c form.) A boat travels 20 miles per hour in still water. If the boat can travel 3 miles downstream in the same amount of time as it takes it to travel 2 miles upstream, find the speed of the current. Let x be the speed of the current. You can put this solution on YOUR website! The basic formula to remember here is or distance/time = rate 1. First we need a rate of speed for travel both downstream and upstream. a. Downstream: The boat travelled 72 miles in 3 hours or miles per hour. b. Upstream: The boat travelled 60 miles in 6 hours or miles per hour. 2.

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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. Lessons Lessons. Answers archive Answers. This Lesson More problems on upstream and downstream round trips was created by by ikleyn : View Source , Show About ikleyn : More problems on upstream and downstream round trips Problem 1 On an upstream trip, a canoe travels 40 km in 5 hours.

Downstream, it travels the same distance in 4 hours. What is the rate of the canoe in still water and the rate of the current? For it, add the equations 1 and 2.

The canoe speed in still water is 9. The current speed is 1. Problem 2 A salmon wims m in 8 min downstream. Upstream, it would take the fish 20 min to swim the same distance.

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