Explanation Given Information: The time taken by slower worker to clean the office building alone is 2 hour more than the faster worker. The time taken by them together is 5 hour . The incomplete table given is, Rate Time Working Together Fractional Part of the Job Done Faster Worker Slower Worker 1 x Consider the time taken by faster worker to be x . The time taken by slower worker is 2 hour more than the faster worker. So, faster worker’s time is x - 2 hr . The rate of completion of one job for slower worker is 1 x . The rate of completion of one job for faster worker is 1 x − 2 . Total cleaning is done in 5 hour . Hence, the complete table is, Rate Time Working Together Fractional Part of the Job Done Faster Worker 1 x − 2 5 5 x − 2 Slower Worker 1 x 5 5 x Since, the fractional parts when added make a whole. So, 5 x + 5 x − 2 = 1 ……. (1) To solve the equation, multiply both side by the least common denominator. The least common denominator is x ( x − 2 ) . ( x ( x − 2 ) ) ( 5 x + 5 x − 2 ) = 1 ⋅ x ( x − 2 ) The distributive property states that for real numbers a , b and c , a ⋅ ( c ± d ) = a ⋅ c ± a ⋅ d Simplify the expression using the distributive property, 5 ( x − 2 ) + 5 ( x ) = x 2 − 2 x 5 x − 10 + 5 x = x 2 − 2 x 10 x − 10 = x 2 − 2 x Rewrite the equation with 0 on one side, x 2 − 10 x − 2 x + 10 = 0 x 2 − 12 x + 10 = 0 According to the quadratic formula, the solution to a quadratic equation, a x 2 + b x + c , is found using, x = − b ± b 2 − 4 a c 2 a Since, it cannot be factorized further

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 11.4, Problem 34E

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To fill: The given table below and determine the time taken by the faster worker between the two working together to clean the office building which takes 5 hr.

Rate Time Working Together Fractional Part of the Job Done

Faster Worker

Slower Worker 1x

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Chapter 11.4, Problem 33E

Chapter 11.4, Problem 35E

Chapter 11 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 11.1 - Concept Check Answer each question. 1. Which of...Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Solve each equation using the zero-factor...Ch. 11.1 - Prob. 6E Ch. 11.1 - Solve each equation using the zero-factor...Ch. 11.1 - Prob. 8E Ch. 11.1 - Solve each equation using the zero-factor...Ch. 11.1 - Prob. 10E

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	Rate	Time Working Together	Fractional Part of the Job Done
Faster Worker
Slower Worker	1x

The given table below and determine the time taken by the faster worker between the two working together to clean the office building which takes 5 hr . Rate Time Working Together Fractional Part of the Job Done Faster Worker Slower Worker 1 x

Solution Summary: The author calculates the time taken by slower worker to clean the office building alone is 2hour more than the faster worker.

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To fill: The given table below and determine the time taken by the faster worker between the two working together to clean the office building which takes 5 hr.

Rate Time Working Together Fractional Part of the Job Done

Faster Worker

Slower Worker 1x

Want to see the full answer?

Chapter 11 Solutions

The given table below and determine the time taken by the faster worker between the two working together to clean the office building which takes 5 hr . Rate Time Working Together Fractional Part of the Job Done Faster Worker Slower Worker 1 x

Solution Summary: The author calculates the time taken by slower worker to clean the office building alone is 2hour more than the faster worker.

Concept explainers

Videos

To fill: The given table below and determine the time taken by the faster worker between the two working together to clean the office building which takes 5 hr. Rate Time Working Together Fractional Part of the Job Done Faster Worker Slower Worker 1x

Want to see the full answer?

Chapter 11 Solutions

To fill: The given table below and determine the time taken by the faster worker between the two working together to clean the office building which takes 5 hr.

Rate Time Working Together Fractional Part of the Job Done

Faster Worker

Slower Worker 1x