Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Unitary Method

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Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

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Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Question

Chapter 5.9, Problem 5P

To determine

To determine how long would new sweeper take to do the job alone.

Expert Solution & Answer

Answer to Problem 5P

Total time taken by new sweeper to do the job alone is 20 hrs.

Explanation of Solution

Given information :

Old sweeper alone does in 60h.

Old and new sweeper both do in 15h.

Let us assume that the total work be 60.

(assume total work as any multiple of the time given.)

Hence the work done by old sweeper in 1 hr is 6060=1

Work done by both sweepers in 1 hr is 6015=4

Hence work done by new sweeper in 1 hr is (4−1)=3

Now time take by new sweeper to completer whole work is 603=20

Hence total time taken by new sweeper to do the job alone is 20 hrs.

Chapter 5.9, Problem 4P

Chapter 5.9, Problem 6P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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