Q 451. Leeson can proofread a newspaper... [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 451. (page 1009)

Leeson can proofread a newspaper copy in $4$ hours. If Ryan helps, they can do the job in $3$ hours. How long would it take for Ryan to do his job alone?

Short Answer

Expert verified

Ryan can do the job alone in $12 h o u r s$ .

Step by step solution

Step 1. Given information.

Leeson can proofread a newspaper copy in $4 h o u r s$ . Both leeson and Ryan can do the same job in $3 h o u r s$ .

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

Step 2. To find the time taken.

	Number of hours to complete the job	Part of the job completed/ hours
Leeson	$4$	$\frac{1}{4}$
Ryan	$t$	$\frac{1}{t}$
Together	$3$	$\frac{1}{3}$

The part completed by Leeson plus the part completed by Ryan equals the amount completed together.

$\frac{1}{4} + \frac{1}{t} = \frac{1}{3} 12 t [\frac{1}{4} + \frac{1}{t}] = 12 t \frac{1}{3} 3 t + 12 = 4 t t = 12$

Therefore, Ryan takes $12 h o u r s$ to do the job alone.

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91影视

Leeson can proofread a newspaper copy in $4$ hours. If Ryan helps, they can do the job in $3$ hours. How long would it take for Ryan to do his job 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

Leeson can proofread a newspaper copy in 4hours. If Ryan helps, they can do the job in 3hours. How long would it take for Ryan to do his job 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

Calculus

Statistics

Pure Maths

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Leeson can proofread a newspaper copy in $4$ hours. If Ryan helps, they can do the job in $3$ hours. How long would it take for Ryan to do his job alone?