6. Professor Rhoads can grade a set of tests in 5 hours, but if she hires a tutor to help her, they can grade the set of tests in 3 hours. How long would it take the tutor to grade the tests alone? Complete the table (use the table to define your unknowns,) translate the problem to an equation only, show the steps to solve the equation, check and write your answer in a sentence with the correct units. Number of Part of job completed per hour hours to grade a test Prof. Rhoads Tutor together

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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Professor Rhoads can grade a set of tests in 5 hours, but if she hires a tutor to help her, they can grade the set of tests in 3 hours. How long would it take the tutor to grade the tests alone? Complete the table (use the table to define your unknowns), translate the problem to an equation only, show the steps to solve the equation, check and write your answer in a sentence with the correct units.

|                      | Number of hours to grade a test | Part of job completed per hour |
|----------------------|--------------------------------|---------------------------------|
| Prof. Rhoads         |                                |                                 |
| Tutor                |                                |                                 |
| Together             |                                |                                 |

**Explanation of Task:**

1. **Table Explanation:**
   - The table consists of two columns:
     - "Number of hours to grade a test": Enter the time each takes individually and together.
     - "Part of job completed per hour": Calculate the rate of work.

2. **Problem-Solving Steps:**
   - Define unknown variables.
   - Translate to an equation.
   - Solve the equation.
   - Verify the solution.
   - Formulate the final answer in a complete sentence with units.
Transcribed Image Text:Professor Rhoads can grade a set of tests in 5 hours, but if she hires a tutor to help her, they can grade the set of tests in 3 hours. How long would it take the tutor to grade the tests alone? Complete the table (use the table to define your unknowns), translate the problem to an equation only, show the steps to solve the equation, check and write your answer in a sentence with the correct units. | | Number of hours to grade a test | Part of job completed per hour | |----------------------|--------------------------------|---------------------------------| | Prof. Rhoads | | | | Tutor | | | | Together | | | **Explanation of Task:** 1. **Table Explanation:** - The table consists of two columns: - "Number of hours to grade a test": Enter the time each takes individually and together. - "Part of job completed per hour": Calculate the rate of work. 2. **Problem-Solving Steps:** - Define unknown variables. - Translate to an equation. - Solve the equation. - Verify the solution. - Formulate the final answer in a complete sentence with units.
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