Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.8, Problem 6P

To determine

To find the total time to take when both conveyor belt used at the same time.

Expert Solution & Answer

Answer to Problem 6P

The total time to take when both conveyor belt used at the same time is 834hr .

Explanation of Solution

Given Old conveyor belt take total time to move one day's output coal is 21hr.

New conveyor belt take total time to move one day's output coal is 15hr.

Work done by old conveyor belt in one hour is 121

Work done by pump A in x hours is x21

Similarly

Work done new conveyor belt in one hour is 115

Work done by new conveyor belt in x hours is x15

Suppose total work done by both pump is 1

Express the equation of work done together

x21+x15=1

Multiply both the sides by 315, the LCM of 21 and 15

315(x21+x15)=1×315

Apply distribute property

15x+21x=31536x=315x=31536hr

Simplify x=1312hr

Hence, The total time to take empty the ship by both pump is 834hr .

Chapter 5.8, Problem 5P

Chapter 5.8, Problem 7P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

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