**Problem Statement for Educational Website***Collaborative Work Problem*---**Scenario:**Working together, Sandy and Adrianna can design a website in 6 hours.If each works alone, Adrianna takes five more hours than it would take Sandy to do the same job. *Question:*How long would it take Sandy to design a website working alone?---**Method to Solve:**1. **Let $ t $ be the time (in hours) it takes Sandy to design a website alone.**2. **Then, Adrianna's time to complete the same task would be $ t + 5 $ hours.**3. **To find the combined work rate:** - Sandy's work rate is $ \frac{1}{t} $ websites/hour. - Adrianna's work rate is $ \frac{1}{t+5} $ websites/hour.4. **Combined work rate when working together:** - The combined rate is given by the sum of their individual rates: $ \frac{1}{t} + \frac{1}{t+5} $.5. **Since working together they complete the website in 6 hours:** - Combined work rate is also $ \frac{1}{6} $ websites/hour.6. **Setting up the equation:** \[ \frac{1}{t} + \frac{1}{t+5} = \frac{1}{6} \]7. **Solving the equation for $ t $ would give the time it takes Sandy to design a website alone.****Detailed Steps to Solve:**1. **Find a common denominator and combine the fractions.**2. **Set the equation equal to the combined work rate.**3. **Solve for $ t $.**This problem requires knowledge of algebra, especially working with rational equations to solve work problems.

Given: Sandy and Adrianna together to complete = 6 hours Adrianna takes five more hours than it…

Working together, Sandy and Adrianna can design a website in 6 hours. If each works alone, Adrianna takes five more hours than it would take Sandy to do the same job. How long would it take Sandy to design a website working alone?

Working together, Sandy and Adrianna can design a website in 6 hours. If each works alone, Adrianna takes five more hours than it would take Sandy to do the same job. How long would it take Sandy to design a website working alone?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Problem Statement for Educational Website**

*Collaborative Work Problem*

---

**Scenario:**

Working together, Sandy and Adrianna can design a website in 6 hours.

If each works alone, Adrianna takes five more hours than it would take Sandy to do the same job.

*Question:*

How long would it take Sandy to design a website working alone?

---

**Method to Solve:**

1. **Let $ t $ be the time (in hours) it takes Sandy to design a website alone.**
2. **Then, Adrianna's time to complete the same task would be $ t + 5 $ hours.**
3. **To find the combined work rate:**
- Sandy's work rate is $ \frac{1}{t} $ websites/hour.
- Adrianna's work rate is $ \frac{1}{t+5} $ websites/hour.
4. **Combined work rate when working together:**
- The combined rate is given by the sum of their individual rates: $ \frac{1}{t} + \frac{1}{t+5} $.
5. **Since working together they complete the website in 6 hours:**
- Combined work rate is also $ \frac{1}{6} $ websites/hour.
6. **Setting up the equation:**
\[
\frac{1}{t} + \frac{1}{t+5} = \frac{1}{6}
\]
7. **Solving the equation for $ t $ would give the time it takes Sandy to design a website alone.**

**Detailed Steps to Solve:**

1. **Find a common denominator and combine the fractions.**
2. **Set the equation equal to the combined work rate.**
3. **Solve for $ t $.**

This problem requires knowledge of algebra, especially working with rational equations to solve work problems.

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