Laura's g member crew could do j jobs in h hours. When q members went on vacation how many hours would it take the remaining crew members to do m jobs? (g- )m [A] gjh gmh [B] (g-4)j gm [C] (g-4)jh (g-q)mh [D] gj
Laura's g member crew could do j jobs in h hours. When q members went on vacation how many hours would it take the remaining crew members to do m jobs? (g- )m [A] gjh gmh [B] (g-4)j gm [C] (g-4)jh (g-q)mh [D] gj
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Concept explainers
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Topic Video
Question
Please solve 15 and 16.
![### Problem Statement
Laura’s \( g \)-member crew could do \( j \) jobs in \( h \) hours. When \( q \) members went on vacation, how many hours would it take for the remaining crew members to do \( m \) jobs?
### Options
\[
[A] \quad \frac{(g - q)m}{gjh}
\]
\[
[B] \quad \frac{gmh}{(g - q)j}
\]
\[
[C] \quad \frac{gm}{(g - q)jh}
\]
\[
[D] \quad \frac{(g - q)mh}{gj}
\]
### Explanation of Solutions
The problem involves understanding the relationship between crew size, the number of jobs, and the time taken. Here are the details of the given answer choices, explained:
1. **[A]**:
\[
\frac{(g - q)m}{gjh}
\]
This expression calculates the required hours based on the product of the reduced crew size \((g - q)\) and the number of jobs \(m\), divided by the product of the full crew size \(g\), jobs \(j\), and initial hours \(h\).
2. **[B]**:
\[
\frac{gmh}{(g - q)j}
\]
Here, the equation involves the product of the full crew size \(g\), hours \(h\), and the number of jobs \(m\), divided by the product of the reduced crew size \((g - q)\) and jobs \(j\).
3. **[C]**:
\[
\frac{gm}{(g - q)jh}
\]
This formula calculates the required hours by multiplying the initial crew size \(g\) and the number of jobs \(m\), then dividing the result by the product of the reduced crew size \((g - q)\), jobs \(j\), and hours \(h\).
4. **[D]**:
\[
\frac{(g - q)mh}{gj}
\]
In this option, the formula uses the product of the reduced crew size \((g - q)\), jobs \(m\), and hours \(h\), divided by the product of the full crew size \(g\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d14b73-51f9-4bd3-b880-f57250e3dcea%2Fabdd94ad-3cc1-423f-9d62-279ff9789605%2F2szoic_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Laura’s \( g \)-member crew could do \( j \) jobs in \( h \) hours. When \( q \) members went on vacation, how many hours would it take for the remaining crew members to do \( m \) jobs?
### Options
\[
[A] \quad \frac{(g - q)m}{gjh}
\]
\[
[B] \quad \frac{gmh}{(g - q)j}
\]
\[
[C] \quad \frac{gm}{(g - q)jh}
\]
\[
[D] \quad \frac{(g - q)mh}{gj}
\]
### Explanation of Solutions
The problem involves understanding the relationship between crew size, the number of jobs, and the time taken. Here are the details of the given answer choices, explained:
1. **[A]**:
\[
\frac{(g - q)m}{gjh}
\]
This expression calculates the required hours based on the product of the reduced crew size \((g - q)\) and the number of jobs \(m\), divided by the product of the full crew size \(g\), jobs \(j\), and initial hours \(h\).
2. **[B]**:
\[
\frac{gmh}{(g - q)j}
\]
Here, the equation involves the product of the full crew size \(g\), hours \(h\), and the number of jobs \(m\), divided by the product of the reduced crew size \((g - q)\) and jobs \(j\).
3. **[C]**:
\[
\frac{gm}{(g - q)jh}
\]
This formula calculates the required hours by multiplying the initial crew size \(g\) and the number of jobs \(m\), then dividing the result by the product of the reduced crew size \((g - q)\), jobs \(j\), and hours \(h\).
4. **[D]**:
\[
\frac{(g - q)mh}{gj}
\]
In this option, the formula uses the product of the reduced crew size \((g - q)\), jobs \(m\), and hours \(h\), divided by the product of the full crew size \(g\
![**Problem 5**
A dog traveled at \( c \) feet per minute for \( d \) feet and was 5 minutes late for an open gate. How fast should the dog have traveled in order to find the gate open?
**Options:**
[A] \[\frac{c}{d - 5c} \, \text{ft/min}\]
[B] \[\frac{dc}{d + 5c} \, \text{ft/min}\]
[C] \[\frac{d}{d + 5c} \, \text{ft/min}\]
[D] \[\frac{dc}{d - 5c} \, \text{ft/min}\]
This problem requires determining the correct speed the dog should have traveled to reach the gate on time, utilizing the given variables and delayed minutes. The correct expression should effectively incorporate the dog’s speed and the delay (5 minutes).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d14b73-51f9-4bd3-b880-f57250e3dcea%2Fabdd94ad-3cc1-423f-9d62-279ff9789605%2Fgqqeodf_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 5**
A dog traveled at \( c \) feet per minute for \( d \) feet and was 5 minutes late for an open gate. How fast should the dog have traveled in order to find the gate open?
**Options:**
[A] \[\frac{c}{d - 5c} \, \text{ft/min}\]
[B] \[\frac{dc}{d + 5c} \, \text{ft/min}\]
[C] \[\frac{d}{d + 5c} \, \text{ft/min}\]
[D] \[\frac{dc}{d - 5c} \, \text{ft/min}\]
This problem requires determining the correct speed the dog should have traveled to reach the gate on time, utilizing the given variables and delayed minutes. The correct expression should effectively incorporate the dog’s speed and the delay (5 minutes).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
