Q 452. Paul can clean a classroom floor... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 452. (page 1009)

Paul can clean a classroom floor in $3$ hours. When his assistant helps him, the job takes $2$ hours. How long would it take the assistant to do it alone?

Short Answer

Expert verified

Assistant can do the job alone in $6 h o u r s$ .

Step by step solution

Step 1. Given information

Paul can clean a floor in $3 h o u r s$ .When his assistant helps him, then the job can be competed in $2 h o u r s$ .

Let $t$ the number of hours needed for assistant to complete.

Step 2. To find the time taken.

	Number of hours to complete the job	Part of the job completed/ hours
Paul	$3$	$\frac{1}{3}$
Assistant	$t$	$\frac{1}{t}$
Together	$2$	$\frac{1}{2}$

The part completed by Paul plus the part completed by his assistant equals the amount completed together.

$\frac{1}{3} + \frac{1}{t} = \frac{1}{2} 6 t [\frac{1}{3} + \frac{1}{t}] = 6 t [\frac{1}{2}] 2 t + 6 = 3 t t = 6$

Therefore, in $6 h o u r s$ assistant can do the job alone.

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91影视

Paul can clean a classroom floor in $3$ hours. When his assistant helps him, the job takes $2$ hours. How long would it take the assistant to do it alone?

Short Answer

Step by step solution

Step 1. Given information

Step 2. To find the time taken.

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91影视

Paul can clean a classroom floor in 3hours. When his assistant helps him, the job takes 2hours. How long would it take the assistant to do it alone?

Short Answer

Step by step solution

Step 1. Given information

Step 2. To find the time taken.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Logic and Functions

Statistics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Paul can clean a classroom floor in $3$ hours. When his assistant helps him, the job takes $2$ hours. How long would it take the assistant to do it alone?