DOC PREVIEW
Purdue MA 11100 - Application Problems Using Rational Equations
Pages 4

This preview shows page 1 out of 4 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 4 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 4 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Lesson 33, Section 6.5Application Problems Using Rational Equations1. Define a Variable2. Develop A Plan3. Write an Equation4. Solve and Answer the Question1) The reciprocal of 5, plus the reciprocal of 7, is the reciprocal of what number?Let x = the numberReciprocal of 5 plus reciprocal of 7 = reciprocal of x2) The sum of a number and 21 times its reciprocal is 10. Find the number.Let n = the numberThe number plus 21(reciprocal of number) = 10Job or Work Problems:If a person can complete a job alone is 9 hours, he/she does 91 of the job each hour. That is the rate at which the person works. If one person (or machine) completes a job in1t hours (rate = 11t) and another person (or machine) completes a job in 2t hours (rate = 21t), then a formula to find the time t to complete the job if both workers (or machines)work together, is as follows.ttt11121, where 21 and tt represent the times alone and t represents the time both work together3) Stan needs 45 minutes to do the dishes, while Bobby can do them in 30 minutes. How long will it take them, if they work together?4) A community water tank can be filled in 18 hours by the town office well alone and in 22 hours by the high school well alone. How long will it take to fill the tank if both wells are working?5) Ron can paint his den in 6 hours working alone. If Dee helps him, the job takes 4 hours. Estimate how long it would take Dee alone to paint the den.6) The HP Laser Jet 9000 works twice as fast as the Laser Jet 2300. (Source: www.hewlettpackard.com ) If the machines work together, a university canproduce all its staff manuals in 15 hours. Find the time it would take each machine, working alone, to complete the same job.Let x = time for the 2300 model, ½ x = time for the 9000 model7) Jake can cut and split a cord of firewood in 6 fewer hours than Skyler can. When they work together, it takes them 4 hours. How long would it take Jake alone to cut and split a cord of firewood?Motion Problems:8) A canal has a current of 2 miles per hour. Find the speed of Casey’s boat in still water, if the boat travels 11 miles down the canal in the same time that it goes 8 miles up the canal.Distance Rate TimeDown the CanalUp the Canal9) A local bus travels 7 mph slower than the Express bus. The express travels 45 miles in the same time it takes the local to travel 38 miles. Find the speed of each bus.Distance Rate TimeLocalExpress10) Allen paddles 55 meters per minute in still water. He paddles 106 meters upstream and 228 meters downstream in a total time of 6 minutes. What is the speed of the current?Distance Rate


View Full Document

Purdue MA 11100 - Application Problems Using Rational Equations

Documents in this Course
Exam 1

Exam 1

13 pages

Exam 3

Exam 3

3 pages

Exam 2

Exam 2

2 pages

Exam 3

Exam 3

5 pages

Load more
Download Application Problems Using Rational Equations
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view Application Problems Using Rational Equations and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Application Problems Using Rational Equations 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?