Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Contingency Table

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Question

Chapter 5.8, Problem 15P

To determine

To find the total time to take when both machine work at opposite ends and works days and night to make 21 km surface on highway.

Expert Solution & Answer

Answer to Problem 15P

The total time to take when both machine work at opposite ends and works days and night is 135 h .

Explanation of Solution

Given New machine can make 1 km surface in 10 hr.

Old machine can make 1 km surface in 18 hr.

Work done of 1 km surface by New machine in one hour is 110

Work done of 21 km surface by new machine in x hours is x10

Similarly

Work done 1 km surface by old machine in one hour is 118

Work done of 21 km surface by old machine in x hours is x18

Express the equation of work done together for 21 km surface.

x10+x18=21

Multiply both the sides by 90, the LCM of 10 and 18

90(x10+x18)=90×21

Apply distribute property

9x+5x=189014x=1890x=189014=135h

Hence, The total time to take is 135 hr .

Chapter 5.8, Problem 14P

Chapter 5.8, Problem 16P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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