Chap7 Section8

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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: 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?
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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. 19. The speed of a freight train is 20 mph slower than the speed of a passenger train. The passenger train travels 440 miles in the same time that the freight train travels 280 miles. Find the speed of the freight train.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern