Q 601. Jerry can frame a room in 1 hour... [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 601. (page 1028)

Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long could they frame a room working together?

Short Answer

Expert verified

Jerry and Jake will take $\frac{4}{5}$ hours to frame a room together.

Step by step solution

Step 1. Given information.

Jerry can frame a room in 1 hour

Jake can frame it in 4 hours.

Let's take $t =$ the number of hours needed to frame the room together.

Step 2. Find the value of t.

Organize the given information in a chart:

	Number of hours needed to complete the job	Part of the job completed/ hour
Jerry	$1$	$1$
Jake	$4$	$\frac{1}{4}$
Together	$t$	$\frac{1}{t}$

The part completed by Jerry plus the part completed by Jake equals the amount completed together.

role="math" localid="1648633437154" $\frac{1}{1} + \frac{1}{4} = \frac{1}{t}$

Multiply both sides by the LCD,

$4 t (\frac{1}{1} + \frac{1}{4}) = 4 t (\frac{1}{t})$

Simplify,

$4 t + t = 4 5 t = 4 t = \frac{4}{5}$

Working together Jerry and Jake will take $\frac{4}{5}$ hours to frame a room.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long could they frame a room working together?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the value of t.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Applied Mathematics

Statistics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.