On a 600 mile road trip, two people drive the car. One person drives three times as long as the other. Therefore we know that 150 miles were driven by the driver who drove the least.
On a 600 mile road trip, two people drive the car. One person drives three times as long as the other. Therefore we know that 150 miles were driven by the driver who drove the least.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![**Driving Distance Word Problem**
**Question:**
On a 600 mile road trip, two people drive the car. One person drives three times as long as the other. Therefore we know that 150 miles were driven by the driver who drove the least.
**Options:**
- True
- False
**Explanation:**
This question is a word problem involving simple algebra to determine the correctness of the statement. To solve it, let's define the unknowns and set up an equation.
Let \( x \) be the distance driven by the driver who drove the least.
Then, the other driver drove \( 3x \) miles.
The total distance of the trip is 600 miles. Thus, the equation to represent this situation is:
\[
x + 3x = 600
\]
\[
4x = 600
\]
Solving for \( x \):
\[
x = \frac{600}{4} = 150
\]
So, \( x = 150 \) miles.
Therefore, the statement "150 miles were driven by the driver who drove the least" is **True**.
---
**Graph/Diagram Description:**
There are no graphs or diagrams in this image. The main content is the text of the word problem and the True/False options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb4c9257-c3a4-42ab-bf0e-0de9c4c5a001%2Fc964c7c8-a846-4dae-92b7-350b7858a516%2Flrirmb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Driving Distance Word Problem**
**Question:**
On a 600 mile road trip, two people drive the car. One person drives three times as long as the other. Therefore we know that 150 miles were driven by the driver who drove the least.
**Options:**
- True
- False
**Explanation:**
This question is a word problem involving simple algebra to determine the correctness of the statement. To solve it, let's define the unknowns and set up an equation.
Let \( x \) be the distance driven by the driver who drove the least.
Then, the other driver drove \( 3x \) miles.
The total distance of the trip is 600 miles. Thus, the equation to represent this situation is:
\[
x + 3x = 600
\]
\[
4x = 600
\]
Solving for \( x \):
\[
x = \frac{600}{4} = 150
\]
So, \( x = 150 \) miles.
Therefore, the statement "150 miles were driven by the driver who drove the least" is **True**.
---
**Graph/Diagram Description:**
There are no graphs or diagrams in this image. The main content is the text of the word problem and the True/False options.
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