Explanation Given: First custodian cleans a suite of office in 3 hours and when a second worker is asked to join the job takes only 1 1 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: First proof reader can copy a small newspaper in 4 hours and when they work together can complete in 2.5 hours. Let x = the time in hours it takes while the 2 n d proof reader working alone Step 1: TRANSLATE. In Words Part of Job 1 s t custodian completes in 1 hour Added to Part of Job 2 n d Custodian completes in 1 hour Is equal to Part of job they complete together in 1 hour Translate 1 3 + 1 x = 1 3 2 Step 2: SOLVE: Here, we solve the equation 1 3 + 1 x = 2 3 . We begin by multiplying both sides of the equation by the LCD. 3 x 1 3 + 1 x = 2 3 3 x ( 1 3 ) + 3 x ( 1 x ) = 3 x ( 2 3 ) x

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.6, Problem 43ES

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To find the time needed when the 2ⁿ^d worker working alone to complete the job.

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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 when the 2 n d worker working alone to complete the job.

Solution Summary: The author explains how the 2nd worker can complete the job in 3 hours while working alone.

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To find the time needed when the 2ⁿ^d worker working alone to complete the job.

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To find the time needed when the 2 n d worker working alone to complete the job.

Solution Summary: The author explains how the 2nd worker can complete the job in 3 hours while working alone.

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To find the time needed when the 2nd worker working alone to complete the job.

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Chapter 14 Solutions

To find the time needed when the 2ⁿ^d worker working alone to complete the job.