### Problem StatementA jet's speed in still air is 240 mph. One day it flew 700 miles with a tailwind and then returned the same distance against the wind. The total flying time was 6 hours. Use the following equation to find the speed of the wind (w).\[\frac{700}{240 + w} + \frac{700}{240 - w} = 6\]### ExplanationIn this problem, we need to determine the speed of the wind, denoted as $ w $, which affects the speed of the jet during its flight with and against the wind.1. **Variables and Equations:** - **Jet's speed in still air ($ v $)**: 240 mph. - **Distance traveled with tailwind**: 700 miles. - **Distance traveled against the wind**: 700 miles. - **Total flying time**: 6 hours.2. **Understanding the equation:** - The term $ \frac{700}{240 + w} $ represents the time taken to travel 700 miles with the tailwind, where $ (240 + w) $ is the effective speed of the jet with the wind. - The term $ \frac{700}{240 - w} $ represents the time taken to travel 700 miles against the wind, where $ (240 - w) $ is the effective speed of the jet against the wind. - The sum of these two times is given as 6 hours.### Solution Strategy1. **Equation Setup:** - You have two rational expressions added to make up 6 hours. - The two expressions depend on the speed of the wind, $ w $.2. **Solving the Equation:** - Identify a common denominator for the rational expressions, which can help simplify the equation. - Use algebraic methods to isolate the variable $ w $ and solve for its value.This approach will help you find the exact speed of the wind that affects the jet's flight time as described.

In this question , we will find the value of 'w' .

A jet's speed in still air is 240 mph. One day it flew 700 miles with a tailwind and then returned the same distance against the wind. The total flying time was 6 hours. Use the following equation to find the speed of the wind (w). =6 700 240+w ·+ 700 240-w

A jet's speed in still air is 240 mph. One day it flew 700 miles with a tailwind and then returned the same distance against the wind. The total flying time was 6 hours. Use the following equation to find the speed of the wind (w). =6 700 240+w ·+ 700 240-w

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,...

See similar textbooks

Related questions

Q: e height of an object tossed upward with an initial velocity of 104 feet per second is given by the…

A: Explanation of the answer as follows:

Q: A plane flying to Chicago begins its descent into O’Hare International airport. Once it starts, its…

A: Consider the given equation. h=-1200t+33000 The form of the equation is y=mx+c. Where c is…

Q: The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8…

Q: The weight of a body above sea level varies inversely with the square of the distance from the…

Q: rentel car company charges a base fee of $53.67 plus $0.75 per mile driven. If X represents the…

Q: The equation a = 640 s gives the relationship between s square miles and a acres. Pam owns 7.5…

A: To find the value of the variable by the using a formulat (substitution)

Q: Complete the following equation to represent the total amount of money John and Henry earned at…

A: We will solve the following.

Q: A plumber charges $50 to come to your house and $30 for every hour of labor. How much will it cost…

Q: The height of the tide measured at a seaside c number of hours t after midnight. If the heigh…

Q: Jennifer is 19.6 miles north of her home. She boards an express train and continues traveling north…

A: Regression equation make the relationship between the dependent and independent variable. Each…

Q: At 2 AM the river at the harbor side in Middletown was 1 foot above flood stage. By 5 AM the water…

A: Equation that modelled the water level above flood stage. A linear equation that model condition in…

Question

### Problem Statement

A jet's speed in still air is 240 mph. One day it flew 700 miles with a tailwind and then returned the same distance against the wind. The total flying time was 6 hours. Use the following equation to find the speed of the wind (w).

\[
\frac{700}{240 + w} + \frac{700}{240 - w} = 6
\]

### Explanation

In this problem, we need to determine the speed of the wind, denoted as $ w $, which affects the speed of the jet during its flight with and against the wind.

1. **Variables and Equations:**
- **Jet's speed in still air ($ v $)**: 240 mph.
- **Distance traveled with tailwind**: 700 miles.
- **Distance traveled against the wind**: 700 miles.
- **Total flying time**: 6 hours.

2. **Understanding the equation:**
- The term $ \frac{700}{240 + w} $ represents the time taken to travel 700 miles with the tailwind, where $ (240 + w) $ is the effective speed of the jet with the wind.
- The term $ \frac{700}{240 - w} $ represents the time taken to travel 700 miles against the wind, where $ (240 - w) $ is the effective speed of the jet against the wind.
- The sum of these two times is given as 6 hours.

### Solution Strategy

1. **Equation Setup:**
- You have two rational expressions added to make up 6 hours.
- The two expressions depend on the speed of the wind, $ w $.

2. **Solving the Equation:**
- Identify a common denominator for the rational expressions, which can help simplify the equation.
- Use algebraic methods to isolate the variable $ w $ and solve for its value.

This approach will help you find the exact speed of the wind that affects the jet's flight time as described.

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!

SEE SOLUTION Check out a sample Q&A here

Step 1: To solve the equations :

VIEW

Step 2: To solve the equation :

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Braden invested $900 in a mutual fund. Each year, Braden's investment grew by 2%. Which equation calculates y, the value of Braden's investment after 4 years? y = 900 · 1.024 y = 900 · 0.024 O y = 900 · 40.2 y = 1.02 · 9004
Solve the problem.A biologist recorded 17 snakes on 17 acres in one area and 20 snakes on 43 acres in another area. Let y be the number of snakes in x acres. Write an equation for the number of snakes.
A bacteria sample initially has 300 organisms. After 2 hours there are 500. Write an equation that will express the number present after t hours.
Find a quadratic equation from the points: (60,530) (80,410) (100,440). Use the quadratic formula for 50 to find the corresponding data point.
Solve (-2y +y) dae toedy=0
At the craft store, Tara bought 12 yards of fabric to make tote bags. Each bag requires 1.25 yards of fabric. Write an equation that shows how the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x. y =
Tyler’s walking rate is 5 yards per one second. Write an equation that utilizes Tyler’s walking rate, representing the relationship between distance traveled (d) and time (t).
Solve for x: 2x + 4 = x - 6 X = -12 X = 10 X = -16 X = -10