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**Unformatted text preview: **Section 7.8 Applications of Rational Functions 743 Version: Fall 2007 7.8 Exercises 1. The sum of the reciprocals of two consecutive odd integers is − 16 63 . Find the two numbers. 2. The sum of the reciprocals of two consecutive odd integers is 28 195 . Find the two numbers. 3. The sum of the reciprocals of two consecutive integers is − 19 90 . Find the two numbers. 4. The sum of a number and its recip- rocal is 41 20 . Find the number(s). 5. The sum of the reciprocals of two consecutive even integers is 5 12 . Find the two numbers. 6. The sum of the reciprocals of two consecutive integers is 19 90 . Find the two numbers. 7. The sum of a number and twice its reciprocal is 9 2 . Find the number(s). 8. The sum of a number and its recip- rocal is 5 2 . Find the number(s). 9. The sum of the reciprocals of two consecutive even integers is 11 60 . Find the two numbers. 10. The sum of a number and twice its reciprocal is 17 6 . Find the number(s). 11. The sum of the reciprocals of two numbers is 15 / 8, and the second number is 2 larger than the first. Find the two numbers. Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 12. The sum of the reciprocals of two numbers is 16 / 15, and the second num- ber is 1 larger than the first. Find the two numbers. 13. Moira can paddle her kayak at a speed of 2 mph in still water. She pad- dles 3 miles upstream against the cur- rent and then returns to the starting lo- cation. The total time of the trip is 9 hours. What is the speed (in mph) of the current? Round your answer to the nearest hundredth. 14. Boris is kayaking in a river with a 6 mph current. Suppose that he can kayak 4 miles upstream in the same amount of time as it takes him to kayak 9 miles downstream. Find the speed (mph) of Boris’s kayak in still water. 15. Jacob can paddle his kayak at a speed of 6 mph in still water. He pad- dles 5 miles upstream against the cur- rent and then returns to the starting lo- cation. The total time of the trip is 5 hours. What is the speed (in mph) of the current? Round your answer to the nearest hundredth. 16. Boris can paddle his kayak at a speed of 6 mph in still water. If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 9 miles downstream, what is the speed of the current? 744 Chapter 7 Rational Functions Version: Fall 2007 17. Jacob is canoeing in a river with a 5 mph current. Suppose that he can ca- noe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. Find the speed (mph) of Jacob’s canoe in still water. 18. The speed of a freight train is 16 mph slower than the speed of a passenger train. The passenger train travels 518 miles in the same time that the freight train travels 406 miles. Find the speed of the freight train....

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