**Unit 5 Problems**

**Application problems including rational equations. **

Set up a rational equation and then solve the following problems.

1. A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/14 . Find the two integers.

let one integer = x

other integer = 2x

sum of reciprocal = 1/x + 1/2x=3/14

=> 3x/3=21/3

=> x = 7

one no. = 7

other no. = 14.

2. A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/18 Find the two integers.

Let one of the integer be x

The other is 2x.

1/x-1/2x=1/18.

Multiply through by18x:

18-9=x so x=9.

The two integers are 9 and 18.

3. John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmother's house, but then he tired and walked the remaining 2 miles. If the total trip took 0.9 hours, then what was his average jogging speed?

:

Let x = his jogging speed

2x = his walking speed

write a time equation, time = dist/speed

jog time + walk time = 0.9 hrs

5/x+2/2x=9/10

50+10=9x

x = 6.67

John’s jogging speed is therefore 6.67 miles/hr.

4. A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle to travel 155 miles, then what is the speed of each?

Let the speed of motorcycle be x

Speed of the bus = x+2

165/(x+2)=155/x

165x=155x+310

X=31

Hence: the speed of the motorcycle is 31 Miles/Hour

Speed of the bus is x+2=31+2 = 33 Miles/Hour.

5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?

Let the time taken by associate alone be x.

Therefore;

1/7+1/x=1/3

Multiply all through by 21x

3x+21=7x

21=4x

X=21/4hrs

Earn back money you have spent on downloaded sample

To export a reference to this article please select a referencing stye below.

Assignment Hippo (2022) . Retrive from https://www.assignmenthippo.com/sample-assignment/rational-equations

"." Assignment Hippo ,2022, https://www.assignmenthippo.com/sample-assignment/rational-equations

Assignment Hippo (2022) . Available from: https://www.assignmenthippo.com/sample-assignment/rational-equations

[Accessed 18/05/2022].

Assignment Hippo . ''(Assignment Hippo,2022) https://www.assignmenthippo.com/sample-assignment/rational-equations accessed 18/05/2022.

Want to order fresh copy of the **Sample Template Answers? ** online or do you need the old solutions for Sample Template, contact our customer support or talk to us to get the answers of it.

Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.

Get reliable and unique assignments by using our 100% plagiarism-free.

Get connected 24*7 with our Live Chat support executives to receive instant solutions for your assignment.

Get Help with all the subjects like: Programming, Accounting, Finance, Engineering, Law and Marketing.

Get premium service at a pocket-friendly rate at AssignmentHippo

- Assignment Writing Guide
- Essay Writing Guide
- Dissertation Writing Guide
- Research Paper Writing Guide

- Accounts
- Computer Science
- Economics
- Engineering

Tap to ChatGet instant assignment help