Explanation General strategy for problem solving: 1. Understand the problem. During this step, become comfortable with the problem. Some ways of doing this are as follows: Read and reread the problem. Choose a variable to represent the unknown. Construct a drawing whenever possible. Propose a solution and check. Pay careful attention to how you check your proposed solution. This will help when writing an equation to model the problem. 2. Translate the problem into an equation. 3. Solve the equation. 4. Interpret the results: Check the proposed solution in the stated problem and state your conclusion. Calculation: Given: Two cars leave Savannah, Georgia, at the same time and both travel north on Interstate 95. The speed of first car = 40 mph. The speed of second car = 50 mph. Now we have to find when the two cars will be 20 miles apart. Let x = the time travelled. The following table summarizes the given information. Fill in the rates given and the variables used to represent the times, and use the formula d = r ⋅ t to fill in the distance column. Rate(miles per hour) Time Distance First car 40 x 40 x Second car 50 x 50 x We’ll draw a diagram to help visualize distance. Now we have to form an equation by using above table. Since two cars are traveling in the same direction, so find the difference in their distances traveled. The rate by which the two cars are separating from each other is 50 – 40 = 10 miles per hour

At what time the first car and second car will be 20 miles apart.

Prealgebra & Introductory Algebra (4th Edition)

4th Edition

ISBN: 9780321955791

Author: Elayn Martin-Gay

Publisher: PEARSON

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Question

Chapter C, Problem 26E

To determine

To find:

At what time the first car and second car will be 20 miles apart.

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Chapter C, Problem 25E

Chapter C, Problem 27E

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