Explanation Given Information: Brian can pick the produce in the garden alone in 60 minutes and Reba can pick the produce alone in 45 minutes. Formula used: The work principle t a + t b = 1 Where, a is the time needed for A to complete a work alone, b is the time needed for B to complete a work alone, t is the time needed for A and B together to complete a work. Perform following steps to find the solution of a word problem: Step 1: Assume given values as a, b and time as t . Step 2: Substitute all values of a, b and t in work principle. Step 3: Find the LCM of the fractional equation to solve it. Step 4: Multiply both sides of equation by its LCM and solve for the variable. Step 5: Check the solution of the equation by substituting the value in work principle equation. Calculation: As given, Brian can pick the produce in the garden alone in 60 minutes and Reba can pick the produce alone in 45 minutes. Let a be the time needed for Brian to pick the produce alone, b be the time needed for Reba to pick the produce alone and t be the time for Brian and Reba to produce together. Then a = 60 min and b = 45 min As, the rule of work principle is: t a + t b = 1 Substitute a = 60 min and b = 45 min in t a + t b = 1 : t 60 + t 45 = 1 Now, find the LCM (least common factor) to solve above equation The LCM is 180

Elementary Algebra: Concepts and Applications (10th Edition)

10th Edition

ISBN: 9780134441375

Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Publisher: PEARSON

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Chapter 6.7, Problem 1YT

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To calculate: The time taken by Brian and Reba to pick the produce together if Brain can pick the produce in the garden alone in 60 min and Reba can pick it alone in 45 min.

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Chapter 6.6, Problem 4PTMO

Chapter 6.7, Problem 2YT

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Chapter 6 Solutions

Elementary Algebra: Concepts and Applications (10th Edition)

Ch. 6.1 - Prob. 1YT Ch. 6.1 - Prob. 2YT Ch. 6.1 - Prob. 3YT Ch. 6.1 - Prob. 4YT Ch. 6.1 - Prob. 5YT Ch. 6.1 - Prob. 6YT Ch. 6.1 - Prob. 1CYU Ch. 6.1 - Prob. 2CYU Ch. 6.1 - Prob. 3CYU Ch. 6.1 - Prob. 4CYU

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The time taken by Brian and Reba to pick the produce together if Brain can pick the produce in the garden alone in 60 min and Reba can pick it alone in 45 min.

Solution Summary: The author calculates the time taken by Brian and Reba to pick the produce in the garden alone in 60 minutes and 45 minutes.

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To calculate: The time taken by Brian and Reba to pick the produce together if Brain can pick the produce in the garden alone in 60 min and Reba can pick it alone in 45 min.

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Chapter 6 Solutions