Q 453. Josephine can correct her studen... [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 453. (page 1009)

Josephine can correct her students鈥� test papers in $5$ hours, but if her teacher鈥檚 assistant helps, it would take them $3$ hours. How long would it take the assistant to do it alone?

Short Answer

Expert verified

Assistant can alone to do the work in $7 h o u r s a n d 30 m i n u t e s .$

Step by step solution

Step 1. Given information.

Josephine can correct her students鈥� test papers in $5 h o u r s$ .

If her teacher鈥檚 assistant helps, it would take them $3 h o u r s$ .

Let $t$ the number of hours needed for the assistant to do the work alone.

Step 2. To find the time taken.

	Number of hours to complete the job	Part of the job completed/ hours
Josephine	$5$	$\frac{1}{5}$
Assistant	$t$	$\frac{1}{t}$
Together	$3$	$\frac{1}{3}$

The part completed by Josephine plus the part completed by her assistant equals the amount completed together.

$\frac{1}{5} + \frac{1}{t} = \frac{1}{3} 15 t [\frac{1}{5} + \frac{1}{t}] = 15 t [\frac{1}{3}] 3 t + 15 = 5 t 2 t = 15 t = \frac{15}{2} t = 7 \frac{1}{2} h o u r s t = 7 h o u r s a n d 30 m i n u t e s .$

Therefore, in $7 h o u r s a n d 30 m i n u t e s$ assistant can do the work alone.

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91影视

Josephine can correct her students鈥� test papers in $5$ hours, but if her teacher鈥檚 assistant helps, it would take them $3$ 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

Josephine can correct her students鈥� test papers in 5hours, but if her teacher鈥檚 assistant helps, it would take them 3hours. 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

Statistics

Geometry

Mechanics Maths

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Josephine can correct her students鈥� test papers in $5$ hours, but if her teacher鈥檚 assistant helps, it would take them $3$ hours. How long would it take the assistant to do it alone?