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You can find more information about the Yahoo Answers shutdown and how to download your data on this help page. The rate of the water flowing in the channel was 2 miles per hour. The total time it took them to kayak up and back was 3 hours and 40 minutes. Assuming they were padding their kayak at a fairly consistent rate find the rate Evelyn and Meridith were paddling?
The downstream rate will have an overall rate faster than the boat in still water since the flow of the water speeds them up:. The total time ws 3 hours and 40 min. We need this in terms of hours so the minutes become a fraction of an hour to get:. What's left is a system of two equations and two unknowns. I'll start by solving the first equation for t in terms of b:.
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. What is the rate of the salmon in still water? What is the rate of the current? This speed is the sum of the salmon's speed relative water, u, and the speed of current, v: In equation 2 , we will make the coefficients into whole numbers by multiplying both sides of the equation by 10 :.
We call the second equation 2' "2 prime" to show that we obtained it from equation 2. These simultaneous equations are solved in the usual way. To see the answer, pass your mouse over the colored area. To cover the answer again, click "Refresh" "Reload". Do the problem yourself first! Example 3. How much did she invest at each rate? To change a percent to a decimal, see Skill in Arithmetic, Lesson 4. Again, in equation 2 let us make the coefficients whole numbers by multiplying both sides of the equation by How many of each does she have?
To see the answer, pass your mouse from left to right over the colored area. Let x be the number of quarters. Let y be the number of dimes. Example 4.
Mixture problem. The final solution, then, will have 9 gallons of pure alcohol.
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