Explanation Given Information: The plane can fly eastbound Chicago to London and westbound London to New York in the same in a 35 mph wind speed. The air distance between Chicago to London is 4000 mi The air distance between London to New York is 3500 m. Formula used: The procedure used to solve the problem is: Step 1: Understand the problem. Step 2: Define variable. Step 3: Frame an equation. Step 4: Solve the equation. Step 5: Give the answer. Step 6: Verify the answer. The formula for distance is defined as, d = r ⋅ t Here d is distance, r is rate or speed and t is time. The distributive property is, a ( b + c ) = a b + a c Where a , b and c are real numbers. Calculation: Consider, speed of the plane in the still air is x mph. As, the wind speed is 35 mph. Hence, Eastbound plane: The plane is flying the distance 4000 m (from Chicago to London) at a speed of ( x + 35 ) mph. Westbound plane: The plane is flying the distance 3500 m (from London to New York) at a speed of ( x − 35 ) mph. Therefore, d r t Eastbound plane (from Chicago to London) 4000 x + 35 4000 x + 35 Westbound plane (from London to New York) 3500 x − 35 3500 x − 35 As the time required to travel from Chicago to London is equal to the travel from New York to London. Hence, 4000 x + 35 = 3500 x − 35 Solving for x

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 6.7, Problem 26E

To determine

To calculate: The rate of the plane in still air if the jet is flying eastbound from Chicago to London in the same time it can fly westbound from London to New York in a 35 mph wind when the distance between Chicago and London is 4000 mi and between New York and London is 3500 mi.

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Chapter 6.7, Problem 25E

Chapter 6.7, Problem 27E

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Chapter 6 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Concept Check Work each problem. Which two of the...Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

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