Explanation Given Information: The time taken by faster worker is 1 hour less than the slower worker. The time taken by them together is 2 hour . Rate Time Working Together Fractional Part of the Job Done Faster Worker 1 x 2 Slower Worker 2 Consider the time taken by faster worker to be x . The time taken by slower worker is 1 hr more than the faster worker. So, slower worker’s time is x + 1 hr . The rate of completion of one job for faster worker is 1 x . And, the rate of completion of one job for slower worker is 1 x + 1 . Total work done is in 2 hours . Hence, the complete table is, Rate Time Working Together Fractional Part of the Job Done Faster Worker 1 x 2 2 x Slower Worker 1 x + 1 2 2 x + 1 Since, the fractional parts when added make a whole. So, 2 x + 2 x + 1 = 1 …… (1) To solve the equation, multiply both side by the least common denominator. The least common denominator is x ( x + 1 ) . So, ( x ( x + 1 ) ) ( 2 x + 2 x + 1 ) = 1 ⋅ x ( x + 1 ) 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, 2 ( x + 1 ) + 2 ( x ) = x 2 + x 2 x + 2 + 2 x = x 2 + x 4 x + 2 = x 2 + x Rewrite the equation with 0 on one side, x 2 − 4 x + x − 2 = 0 x 2 − 3 x − 2 = 0 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 33E

To determine

To fill: The given table below and determine the time taken by the faster worker between the two working together to cut a large lawn which takes 2 hr.

Rate Time Working Together Fractional Part of the Job Done

Faster Worker 1x 2

Slower Worker 2

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Chapter 11.4, Problem 32E

Chapter 11.4, Problem 34E

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	1x	2
Slower Worker		2

The given table below and determine the time taken by the faster worker between the two working together to cut a large lawn which takes 2 hr . Rate Time Working Together Fractional Part of the Job Done Faster Worker 1 x 2 Slower Worker 2

Solution Summary: The author calculates the time taken by the faster worker between the two working together to cut a large lawn which takes 2 hr.

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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 cut a large lawn which takes 2 hr.

Rate Time Working Together Fractional Part of the Job Done

Faster Worker 1x 2

Slower Worker 2

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 cut a large lawn which takes 2 hr . Rate Time Working Together Fractional Part of the Job Done Faster Worker 1 x 2 Slower Worker 2

Solution Summary: The author calculates the time taken by the faster worker between the two working together to cut a large lawn which takes 2 hr.

Concept explainers

Videos

To fill: The given table below and determine the time taken by the faster worker between the two working together to cut a large lawn which takes 2 hr. Rate Time Working Together Fractional Part of the Job Done Faster Worker 1x 2 Slower Worker 2

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 cut a large lawn which takes 2 hr.

Rate Time Working Together Fractional Part of the Job Done

Faster Worker 1x 2

Slower Worker 2