Explanation Approach: Finding an unknown number: 1) First read and reread the given sentence to understand the problem. Denote the unknown value with x . 2) Translate each word in the sentence with suitable mathematical notations to get an equation. 3) Solve the equation for the variable x . 4) Check the correctness by substituting the value of x in the equation. Calculation: 1) Read and reread the problem to understand. Given that the distance that can be travelled by a pilot with the wind is 630 miles. And in the same amount of time, he can travel 455 miles against the wind. Also, the speed of the wind be 35 miles per hour Let the speed of the pilot in still air be x miles per hour. Use the formula, D i s t a n c e = R a t e · t i m e d = r t . Prepare a chart to organize the information. D i s t a n c e = R a t e · T i m e With the wind 630 = x + 35 · t Against the wind 455 = x - 35 · t 2) Translate: Since the time is same, from the table it is clear that t = 630 x + 35 and t = 455 x - 35 Time with the wind = Time against the wind. 630 x + 35 = 455 x - 35 3) Solve: LCD of the denominators in 630 x + 35 = 455 x - 35 is ( x + 35 ) ( x - 35 ) Multiply each side by ( x + 35 ) ( x - 35 ) 630 x + 35 ( x + 35 ) ( x - 35 ) = 455 x - 35 ( x + 35 ) ( x - 35 )<

Prealgebra & Introductory Algebra (4th Edition)

4th Edition

ISBN: 9780321955791

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 12.6, Problem 21E

To determine

To find:

The rate of the plane in still air if the pilot flies 630 miles with the tail wind of 35 miles per hour and in the same amount of time he flies 455 miles against the wind.

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Chapter 12.6, Problem 20E

Chapter 12.6, Problem 22E

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Chapter 12 Solutions

Prealgebra & Introductory Algebra (4th Edition)

Ch. 12.1 - Prob. 1CC Ch. 12.1 - Prob. 1P Ch. 12.1 - Prob. 2P Ch. 12.1 - Prob. 3P Ch. 12.1 - Prob. 4P Ch. 12.1 - Prob. 5P Ch. 12.1 - Prob. 6P Ch. 12.1 - Prob. 7P Ch. 12.1 - Prob. 8P Ch. 12.1 - Prob. 9P

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The rate of the plane in still air if the pilot flies 630 miles with the tail wind of 35 miles per hour and in the same amount of time he flies 455 miles against the wind.

To find: The rate of the plane in still air if the pilot flies 630 miles with the tail wind of 35 miles per hour and in the same amount of time he flies 455 miles against the wind.

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Chapter 12 Solutions

To find:

The rate of the plane in still air if the pilot flies 630 miles with the tail wind of 35 miles per hour and in the same amount of time he flies 455 miles against the wind.