Explanation Given: In 6 hours an experienced cook prepares enough pies to supply a local restaurant`s daily order. Another cook prepares the same pies in 7 hours. Together with a third cook, they prepare the pies in 2 hours. Concept Used: Man - Work - Hour Formula: More men can do more work. More work means more time required to do work. More men can do more work in less time. If A can do a piece of work in D hours, then A's 1 hour's work = 1 D Part of work done by A for t hours = t D If A's 1 hour's work = 1 D , then A can finish the work in D hours. Calculation: Given condition that in 6 hours an experienced cook prepares enough pies to supply a local restaurant`s daily order. Another cook prepares the same pies in 7 hours. Together with a third cook, they prepare the pies in 2 hours. Let the third cook can prepare the pies alone in x hours. Step 1: TRANSLATE. In Words Part of Job the first cook prepares the pies in 1 hour Added to Part of Job the 2 n d cook prepares the pies in 1 hour Added to Part of Job the 3 r d cook prepares the pies in 1 hour Equal to Part of job they complete together in 1 hour Translate 1 6 + 1 7 + 1 x = 1 2 Step 2: SOLVE: Here, we solve the equation 1 6 + 1 7 + 1 x = 1 2 To solve for x multiply each term by the LCD of the denominators. LCD of the denominators: x, 6, 7 and 2 is 42x Equation: 1 6 + 1 7 + 1 x = 1 2 42 x ⋅ 1 6 + 42 x ⋅ 1 7 + 42 x ⋅ Ȁ

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.6, Problem 55ES

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To find the time needed for the third cook to prepare the pies alone.

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Chapter 14.6, Problem 54ES

Chapter 14.6, Problem 56ES

Chapter 14 Solutions

EBK ALGEBRA FOUNDATIONS

Ch. 14.1 - Use the choices below to fill in each blank. Some...Ch. 14.1 - Prob. 2VRVC Ch. 14.1 - Prob. 3VRVC Ch. 14.1 - Prob. 4VRVC Ch. 14.1 - Prob. 5VRVC Ch. 14.1 - Prob. 6VRVC Ch. 14.1 - Prob. 7VRVC Ch. 14.1 - Prob. 8VRVC Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES

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To find the time needed for the third cook to prepare the pies alone.

Solution Summary: The author calculates the time needed for the third cook to prepare the pies alone.

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To find the time needed for the third cook to prepare the pies alone.

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Chapter 14 Solutions