### 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.

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Answered: A woman traveled 2445.3 miles in 17…

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,...

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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.

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