A woman traveled 2445.3 miles in 17 hours 20 minutes. Find the average speed of her flight in miles per hour. (Change 17 hours 20 minutes into hours and use the formula d=rt.)
A woman traveled 2445.3 miles in 17 hours 20 minutes. Find the average speed of her flight in miles per hour. (Change 17 hours 20 minutes into hours and use the formula d=rt.)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![### Calculating Average Speed of a Flight
#### Problem Statement:
A woman traveled 2445.3 miles in 17 hours 20 minutes. Find the average speed of her flight in miles per hour. (Change 17 hours 20 minutes into hours and use the formula \( d = rt \)).
#### Steps to Solve:
1. **Convert Time to Hours**:
- 20 minutes is \( \frac{20}{60} \) hours, which is approximately 0.333 hours.
- Therefore, 17 hours 20 minutes can be converted to:
\[
17 + 0.333 = 17.333 \text{ hours}
\]
2. **Apply the Formula \( d = rt \)**:
- Here, \( d \) is distance, \( r \) is rate (average speed), and \( t \) is time.
- Rearrange the formula to solve for the rate:
\[
r = \frac{d}{t}
\]
3. **Insert the Values**:
- Distance (\( d \)) = 2445.3 miles
- Time (\( t \)) = 17.333 hours
- Calculate the average speed (\( r \)) using the formula:
\[
r = \frac{2445.3 \text{ miles}}{17.333 \text{ hours}} \approx 141.1 \text{ mph}
\]
4. **Round the Final Answer**:
- Do not round the values until the final answer.
- Round to the nearest tenth of a mile per hour as needed.
#### Final Answer:
The average speed of the woman's flight was **141.1 mph**.
(Note: The final speed is rounded to the nearest tenth of a mile per hour as instructed.)
This problem requires basic arithmetic and understanding of the relationship between distance, time, and speed. It’s applicable in various real-world contexts such as travel and logistics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F561461b0-ba37-48f8-9308-b59cc84ed2b5%2Fddf8b547-1d93-4878-a6fe-2a7c058b13b6%2Fn5kz0w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating Average Speed of a Flight
#### Problem Statement:
A woman traveled 2445.3 miles in 17 hours 20 minutes. Find the average speed of her flight in miles per hour. (Change 17 hours 20 minutes into hours and use the formula \( d = rt \)).
#### Steps to Solve:
1. **Convert Time to Hours**:
- 20 minutes is \( \frac{20}{60} \) hours, which is approximately 0.333 hours.
- Therefore, 17 hours 20 minutes can be converted to:
\[
17 + 0.333 = 17.333 \text{ hours}
\]
2. **Apply the Formula \( d = rt \)**:
- Here, \( d \) is distance, \( r \) is rate (average speed), and \( t \) is time.
- Rearrange the formula to solve for the rate:
\[
r = \frac{d}{t}
\]
3. **Insert the Values**:
- Distance (\( d \)) = 2445.3 miles
- Time (\( t \)) = 17.333 hours
- Calculate the average speed (\( r \)) using the formula:
\[
r = \frac{2445.3 \text{ miles}}{17.333 \text{ hours}} \approx 141.1 \text{ mph}
\]
4. **Round the Final Answer**:
- Do not round the values until the final answer.
- Round to the nearest tenth of a mile per hour as needed.
#### Final Answer:
The average speed of the woman's flight was **141.1 mph**.
(Note: The final speed is rounded to the nearest tenth of a mile per hour as instructed.)
This problem requires basic arithmetic and understanding of the relationship between distance, time, and speed. It’s applicable in various real-world contexts such as travel and logistics.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education