Explanation Given Information: Paul can wash the windows of a house in 10 hours and Nancy can do the same job in 8 hours . Formula used: Procedure to solve a problem, Step 1: Formulate the given information. Step 2: Translate the provided statements into mathematical equations. Step 3: Solve the mathematical equations that are obtained in step 2. Step 4: Verify the solution. Step 5: Write the required answer. A problem where one or two people or machine work together to complete a particular task is a work problem. To solve the work problems use the formula, ( part of task done by first person or machine ) + ( part of task done by second person or machine ) = ( 1 ( one whole task completed ) ) The formula to compute the part of job by each person or machine is, rate of work ⋅ time worked = part of the task completed A person or machine completes a job in x units of time. Compute the rate of the job per unit of time as follows: rate of work ⋅ time worked = part of the task completed rate of work = part of the task completed time worked = 1 x . The distributive property is, A ⋅ ( B + C ) = A ⋅ B + A ⋅ C Calculation: Consider x as the time it will take Paul and Nancy to wash the windows of a house together. Consider Paul washes the windows of a house in 10 hours . Compute the rate at which Paul washes the windows of a house in 1 hour as follows: rate of work ⋅ time worked = part of the task completed rate of work = part of the task completed time worked = 1 10 Consider Nancy washes the windows of a house in 8 hours . Compute the rate at which Nancy washes the windows of a house in 1 hour as follows: rate of work ⋅ time worked = part of the task completed rate of work = part of the task completed time worked = 1 8 Compute the part of task completed by Paul in x hours as follows: rate of work ⋅ time worked = part of the task completed Part of task completed = time worked rate of work = x 10 Compute the part of task completed by Nancy in x hours as follows:

Intermediate Algebra For College Students (10th Edition)

10th Edition

ISBN: 9780134758992

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Chapter 6, Problem 24PT

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To calculate: The time will take by Paul and Nancy to wash the windows of a house together when Paul can wash the windows of a house in 10 hours and Nancy can do the same job in 8 hours. Round the answer to the nearest hundredth whenever necessary.

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Chapter 6, Problem 23PT

Chapter 6, Problem 25PT

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Chapter 6 Solutions

Intermediate Algebra For College Students (10th Edition)

Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Prob. 6ES Ch. 6.1 - Prob. 7ES Ch. 6.1 - Prob. 8ES Ch. 6.1 - Prob. 9ES Ch. 6.1 - Prob. 10ES

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The time will take by Paul and Nancy to wash the windows of a house together when Paul can wash the windows of a house in 10 hours and Nancy can do the same job in 8 hours . Round the answer to the nearest hundredth whenever necessary.

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To calculate: The time will take by Paul and Nancy to wash the windows of a house together when Paul can wash the windows of a house in 10 hours and Nancy can do the same job in 8 hours. Round the answer to the nearest hundredth whenever necessary.

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Chapter 6 Solutions