To find the time when tank full with both the pipe with difference of time is 1h 30 min.

Expert Solution & Answer

Answer to Problem 16P

The total time to take when both conveyor belt used at the same time is 5hr 24min .

Explanation of Solution

Given Pipe A can fill a storage tank in 8hr.

Pipe B can fill a storage tank in 12hr.

Pipe A can fill a storage tank in one hour : 18 .

Pipe A can fill a storage tank in x hour : x8

Similarly

Pipe B can fill a storage tank in one hour : 112 .

Pipe B can fill a storage tank in (x−1.5) hour : x−1.512

Suppose total work done by both pipe is 1

Express the equation of work done together

x8+x−1.512=1

Multiply both the sides by96, the LCM of 12 and 8

96(x8+x−1.512)=1×96

Apply distribute property

12x+8x−12=9620x=96x=9620=5.4hr

0.4hr→min

0.4hr=410hr=410(60)=24min

Hence, The total time to fill the tank both the pipe is 5h 24min .

Chapter 5.8, Problem 15P

Chapter 5.8, Problem 17P

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

Ch. 5.1 - Prob. 11OE Ch. 5.1 - Prob. 12OE Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 5WE Ch. 5.1 - Prob. 6WE Ch. 5.1 - Prob. 7WE Ch. 5.1 - Prob. 8WE Ch. 5.1 - Prob. 9WE Ch. 5.1 - Prob. 10WE Ch. 5.1 - Prob. 11WE Ch. 5.1 - Prob. 12WE Ch. 5.1 - Prob. 13WE Ch. 5.1 - Prob. 14WE Ch. 5.1 - Prob. 15WE Ch. 5.1 - Prob. 16WE Ch. 5.1 - Prob. 17WE Ch. 5.1 - Prob. 18WE Ch. 5.1 - Prob. 19WE Ch. 5.1 - Prob. 20WE Ch. 5.1 - Prob. 21WE Ch. 5.1 - Prob. 22WE Ch. 5.1 - Prob. 23WE Ch. 5.1 - Prob. 24WE Ch. 5.1 - Prob. 25WE Ch. 5.1 - Prob. 26WE Ch. 5.1 - Prob. 27WE Ch. 5.1 - Prob. 28WE Ch. 5.1 - Prob. 29WE Ch. 5.1 - Prob. 30WE Ch. 5.1 - Prob. 31WE Ch. 5.1 - Prob. 32WE Ch. 5.1 - Prob. 33WE Ch. 5.1 - Prob. 34WE Ch. 5.1 - Prob. 35WE Ch. 5.1 - Prob. 36WE Ch. 5.1 - Prob. 1MRE Ch. 5.1 - Prob. 2MRE Ch. 5.1 - Prob. 3MRE Ch. 5.1 - Prob. 4MRE Ch. 5.1 - Prob. 5MRE Ch. 5.1 - Prob. 6MRE Ch. 5.1 - Prob. 7MRE Ch. 5.1 - Prob. 8MRE Ch. 5.1 - Prob. 9MRE Ch. 5.1 - Prob. 10MRE Ch. 5.1 - Prob. 11MRE Ch. 5.1 - Prob. 12MRE Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.2 - Prob. 1OE Ch. 5.2 - Prob. 2OE Ch. 5.2 - Prob. 3OE Ch. 5.2 - Prob. 4OE Ch. 5.2 - Prob. 5OE Ch. 5.2 - Prob. 6OE Ch. 5.2 - Prob. 7OE Ch. 5.2 - Prob. 8OE Ch. 5.2 - Prob. 9OE Ch. 5.2 - Prob. 10OE Ch. 5.2 - Prob. 11OE Ch. 5.2 - Prob. 12OE Ch. 5.2 - Prob. 13OE Ch. 5.2 - Prob. 14OE Ch. 5.2 - Prob. 15OE Ch. 5.2 - Prob. 16OE Ch. 5.2 - Prob. 1WE Ch. 5.2 - Prob. 2WE Ch. 5.2 - Prob. 3WE Ch. 5.2 - Prob. 4WE Ch. 5.2 - Prob. 5WE Ch. 5.2 - Prob. 6WE Ch. 5.2 - Prob. 7WE Ch. 5.2 - Prob. 8WE Ch. 5.2 - Prob. 9WE Ch. 5.2 - Prob. 10WE Ch. 5.2 - Prob. 11WE Ch. 5.2 - Prob. 12WE Ch. 5.2 - Prob. 13WE Ch. 5.2 - Prob. 14WE Ch. 5.2 - Prob. 15WE Ch. 5.2 - Prob. 16WE Ch. 5.2 - Prob. 17WE Ch. 5.2 - Prob. 18WE Ch. 5.2 - Prob. 19WE Ch. 5.2 - Prob. 20WE Ch. 5.2 - Prob. 21WE Ch. 5.2 - Prob. 22WE Ch. 5.2 - Prob. 23WE Ch. 5.2 - Prob. 24WE Ch. 5.2 - Prob. 25WE Ch. 5.2 - Prob. 26WE Ch. 5.2 - Prob. 27WE Ch. 5.2 - Prob. 28WE Ch. 5.2 - Prob. 29WE Ch. 5.2 - 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Prob. 9WE Ch. 5.3 - Prob. 10WE Ch. 5.3 - Prob. 11WE Ch. 5.3 - Prob. 12WE Ch. 5.3 - Prob. 13WE Ch. 5.3 - Prob. 14WE Ch. 5.3 - Prob. 15WE Ch. 5.3 - Prob. 16WE Ch. 5.3 - Prob. 17WE Ch. 5.3 - Prob. 18WE Ch. 5.3 - Prob. 19WE Ch. 5.3 - Prob. 20WE Ch. 5.3 - Prob. 21WE Ch. 5.3 - Prob. 22WE Ch. 5.3 - Prob. 23WE Ch. 5.3 - Prob. 24WE Ch. 5.3 - Prob. 25WE Ch. 5.3 - Prob. 26WE Ch. 5.3 - Prob. 27WE Ch. 5.3 - Prob. 28WE Ch. 5.3 - Prob. 29WE Ch. 5.3 - Prob. 30WE Ch. 5.3 - Prob. 31WE Ch. 5.3 - Prob. 1P Ch. 5.3 - Prob. 2P Ch. 5.3 - Prob. 3P Ch. 5.3 - Prob. 4P Ch. 5.3 - Prob. 5P Ch. 5.3 - Prob. 6P Ch. 5.3 - Prob. 7P Ch. 5.3 - Prob. 8P Ch. 5.3 - Prob. 9P Ch. 5.3 - Prob. 10P Ch. 5.3 - Prob. 11P Ch. 5.3 - Prob. 12P Ch. 5.3 - Prob. 13P Ch. 5.3 - Prob. 14P Ch. 5.3 - Prob. 15P Ch. 5.3 - Prob. 1MRE Ch. 5.3 - Prob. 2MRE Ch. 5.3 - Prob. 3MRE Ch. 5.3 - Prob. 4MRE Ch. 5.3 - Prob. 5MRE Ch. 5.3 - Prob. 6MRE Ch. 5.3 - Prob. 7MRE Ch. 5.3 - Prob. 8MRE Ch. 5.3 - Prob. 9MRE Ch. 5.3 - Prob. 10MRE Ch. 5.3 - Prob. 11MRE Ch. 5.3 - Prob. 12MRE Ch. 5.3 - Prob. 1ST Ch. 5.3 - Prob. 2ST Ch. 5.3 - Prob. 3ST Ch. 5.3 - Prob. 4ST Ch. 5.3 - Prob. 5ST Ch. 5.3 - Prob. 6ST Ch. 5.3 - Prob. 7ST Ch. 5.3 - Prob. 8ST Ch. 5.3 - Prob. 9ST Ch. 5.3 - Prob. 10ST Ch. 5.4 - Prob. 1OE Ch. 5.4 - Prob. 2OE Ch. 5.4 - Prob. 3OE Ch. 5.4 - Prob. 4OE Ch. 5.4 - Prob. 5OE Ch. 5.4 - Prob. 6OE Ch. 5.4 - Prob. 7OE Ch. 5.4 - Prob. 8OE Ch. 5.4 - Prob. 9OE Ch. 5.4 - Prob. 10OE Ch. 5.4 - Prob. 11OE Ch. 5.4 - Prob. 12OE Ch. 5.4 - Prob. 13OE Ch. 5.4 - Prob. 14OE Ch. 5.4 - Prob. 15OE Ch. 5.4 - Prob. 1WE Ch. 5.4 - Prob. 2WE Ch. 5.4 - Prob. 3WE Ch. 5.4 - Prob. 4WE Ch. 5.4 - Prob. 5WE Ch. 5.4 - Prob. 6WE Ch. 5.4 - Prob. 7WE Ch. 5.4 - Prob. 8WE Ch. 5.4 - Prob. 9WE Ch. 5.4 - Prob. 10WE Ch. 5.4 - Prob. 11WE Ch. 5.4 - Prob. 12WE Ch. 5.4 - Prob. 13WE Ch. 5.4 - Prob. 14WE Ch. 5.4 - Prob. 15WE Ch. 5.4 - Prob. 16WE Ch. 5.4 - Prob. 17WE Ch. 5.4 - Prob. 18WE Ch. 5.4 - Prob. 19WE Ch. 5.4 - Prob. 20WE Ch. 5.4 - Prob. 21WE Ch. 5.4 - Prob. 22WE Ch. 5.4 - Prob. 23WE Ch. 5.4 - Prob. 24WE Ch. 5.4 - Prob. 25WE Ch. 5.4 - Prob. 26WE Ch. 5.4 - Prob. 27WE Ch. 5.4 - Prob. 28WE Ch. 5.4 - Prob. 29WE Ch. 5.4 - Prob. 30WE Ch. 5.4 - Prob. 31WE Ch. 5.4 - Prob. 32WE Ch. 5.4 - Prob. 33WE Ch. 5.4 - Prob. 34WE Ch. 5.4 - Prob. 35WE Ch. 5.4 - Prob. 36WE Ch. 5.4 - Prob. 37WE Ch. 5.4 - Prob. 38WE Ch. 5.4 - Prob. 39WE Ch. 5.4 - Prob. 40WE Ch. 5.4 - Prob. 41WE Ch. 5.4 - Prob. 42WE Ch. 5.4 - Prob. 43WE Ch. 5.4 - Prob. 1E Ch. 5.4 - Prob. 2E Ch. 5.4 - Prob. 3E Ch. 5.4 - Prob. 4E Ch. 5.4 - Prob. 5E Ch. 5.4 - Prob. 6E Ch. 5.4 - Prob. 7E Ch. 5.4 - Prob. 8E Ch. 5.4 - Prob. 9E Ch. 5.4 - Prob. 10E Ch. 5.4 - Prob. 11E Ch. 5.4 - Prob. 12E Ch. 5.5 - Prob. 1OE Ch. 5.5 - Prob. 2OE Ch. 5.5 - Prob. 3OE Ch. 5.5 - Prob. 4OE Ch. 5.5 - Prob. 5OE Ch. 5.5 - Prob. 6OE Ch. 5.5 - Prob. 7OE Ch. 5.5 - Prob. 8OE Ch. 5.5 - Prob. 1WE Ch. 5.5 - Prob. 2WE Ch. 5.5 - Prob. 3WE Ch. 5.5 - Prob. 4WE Ch. 5.5 - Prob. 5WE Ch. 5.5 - Prob. 6WE Ch. 5.5 - Prob. 7WE Ch. 5.5 - Prob. 8WE Ch. 5.5 - Prob. 9WE Ch. 5.5 - Prob. 10WE Ch. 5.5 - Prob. 11WE Ch. 5.5 - Prob. 12WE Ch. 5.5 - Prob. 13WE Ch. 5.5 - Prob. 14WE Ch. 5.5 - Prob. 15WE Ch. 5.5 - Prob. 16WE Ch. 5.5 - Prob. 17WE Ch. 5.5 - Prob. 18WE Ch. 5.5 - Prob. 19WE Ch. 5.5 - Prob. 20WE Ch. 5.5 - Prob. 21WE Ch. 5.5 - Prob. 22WE Ch. 5.5 - Prob. 23WE Ch. 5.5 - Prob. 24WE Ch. 5.5 - Prob. 1MRE Ch. 5.5 - Prob. 2MRE Ch. 5.5 - Prob. 3MRE Ch. 5.5 - Prob. 4MRE Ch. 5.5 - Prob. 5MRE Ch. 5.5 - Prob. 6MRE Ch. 5.5 - Prob. 7MRE Ch. 5.5 - Prob. 8MRE Ch. 5.5 - Prob. 9MRE Ch. 5.5 - Prob. 10MRE Ch. 5.5 - Prob. 11MRE Ch. 5.5 - Prob. 12MRE Ch. 5.6 - Prob. 1OE Ch. 5.6 - Prob. 2OE Ch. 5.6 - Prob. 3OE Ch. 5.6 - Prob. 4OE Ch. 5.6 - Prob. 5OE Ch. 5.6 - Prob. 6OE Ch. 5.6 - Prob. 7OE Ch. 5.6 - Prob. 8OE Ch. 5.6 - Prob. 1WE Ch. 5.6 - Prob. 2WE Ch. 5.6 - Prob. 3WE Ch. 5.6 - Prob. 4WE Ch. 5.6 - Prob. 5WE Ch. 5.6 - Prob. 6WE Ch. 5.6 - Prob. 7WE Ch. 5.6 - Prob. 8WE Ch. 5.6 - Prob. 9WE Ch. 5.6 - Prob. 10WE Ch. 5.6 - Prob. 11WE Ch. 5.6 - Prob. 12WE Ch. 5.6 - Prob. 13WE Ch. 5.6 - Prob. 14WE Ch. 5.6 - Prob. 15WE Ch. 5.6 - 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Prob. 24WE Ch. 5.7 - Prob. 25WE Ch. 5.7 - Prob. 26WE Ch. 5.7 - Prob. 27WE Ch. 5.7 - Prob. 28WE Ch. 5.7 - Prob. 29WE Ch. 5.7 - Prob. 30WE Ch. 5.7 - Prob. 31WE Ch. 5.7 - Prob. 32WE Ch. 5.7 - Prob. 33WE Ch. 5.7 - Prob. 34WE Ch. 5.7 - Prob. 35WE Ch. 5.7 - Prob. 1MRE Ch. 5.7 - Prob. 2MRE Ch. 5.7 - Prob. 3MRE Ch. 5.7 - Prob. 4MRE Ch. 5.7 - Prob. 5MRE Ch. 5.7 - Prob. 6MRE Ch. 5.7 - Prob. 7MRE Ch. 5.7 - Prob. 8MRE Ch. 5.7 - Prob. 9MRE Ch. 5.7 - Prob. 10MRE Ch. 5.7 - Prob. 11MRE Ch. 5.7 - Prob. 12MRE Ch. 5.7 - Prob. 1ST Ch. 5.7 - Prob. 2ST Ch. 5.7 - Prob. 3ST Ch. 5.7 - Prob. 4ST Ch. 5.7 - Prob. 5ST Ch. 5.7 - Prob. 6ST Ch. 5.7 - Prob. 7ST Ch. 5.7 - Prob. 8ST Ch. 5.8 - Prob. 1OE Ch. 5.8 - Prob. 2OE Ch. 5.8 - Prob. 3OE Ch. 5.8 - Prob. 4OE Ch. 5.8 - Prob. 5OE Ch. 5.8 - Prob. 6OE Ch. 5.8 - Prob. 7OE Ch. 5.8 - Prob. 8OE Ch. 5.8 - Prob. 9OE Ch. 5.8 - Prob. 1WE Ch. 5.8 - Prob. 2WE Ch. 5.8 - Prob. 3WE Ch. 5.8 - Prob. 4WE Ch. 5.8 - Prob. 5WE Ch. 5.8 - Prob. 6WE Ch. 5.8 - Prob. 7WE Ch. 5.8 - Prob. 8WE Ch. 5.8 - Prob. 9WE Ch. 5.8 - Prob. 10WE Ch. 5.8 - Prob. 11WE Ch. 5.8 - Prob. 12WE Ch. 5.8 - Prob. 13WE Ch. 5.8 - Prob. 14WE Ch. 5.8 - Prob. 15WE Ch. 5.8 - Prob. 16WE Ch. 5.8 - Prob. 17WE Ch. 5.8 - Prob. 18WE Ch. 5.8 - Prob. 19WE Ch. 5.8 - Prob. 20WE Ch. 5.8 - Prob. 21WE Ch. 5.8 - Prob. 22WE Ch. 5.8 - Prob. 23WE Ch. 5.8 - Prob. 24WE Ch. 5.8 - Prob. 1P Ch. 5.8 - Prob. 2P Ch. 5.8 - Prob. 3P Ch. 5.8 - Prob. 4P Ch. 5.8 - Prob. 5P Ch. 5.8 - Prob. 6P Ch. 5.8 - Prob. 7P Ch. 5.8 - Prob. 8P Ch. 5.8 - Prob. 9P Ch. 5.8 - Prob. 10P Ch. 5.8 - Prob. 11P Ch. 5.8 - Prob. 12P Ch. 5.8 - Prob. 13P Ch. 5.8 - Prob. 14P Ch. 5.8 - Prob. 15P Ch. 5.8 - Prob. 16P Ch. 5.8 - Prob. 17P Ch. 5.8 - Prob. 18P Ch. 5.8 - Prob. 19P Ch. 5.8 - Prob. 20P Ch. 5.8 - Prob. 21P Ch. 5.9 - Prob. 1WE Ch. 5.9 - Prob. 2WE Ch. 5.9 - Prob. 3WE Ch. 5.9 - Prob. 4WE Ch. 5.9 - Prob. 5WE Ch. 5.9 - Prob. 6WE Ch. 5.9 - Prob. 7WE Ch. 5.9 - Prob. 8WE Ch. 5.9 - Prob. 9WE Ch. 5.9 - Prob. 10WE Ch. 5.9 - Prob. 11WE Ch. 5.9 - Prob. 12WE Ch. 5.9 - Prob. 13WE Ch. 5.9 - 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