A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 miles against the wind. Find the speed of the wind. Speed of the wind: miles/hour

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,...
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**Solving a Distance, Rate, Time Problem Using a Rational Equation**

**Problem Statement:**

A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 miles against the wind. Find the speed of the wind.

**Interactive Element:**

- **Speed of the wind:** [  ] miles/hour

**Instructions:**

Enter the speed of the wind in the input box to find a solution to the problem. Use the relationship between distance, rate, and time to set up the necessary equations. Consider the effect of wind speed on the plane’s effective speed when flying with and against the wind.
Transcribed Image Text:**Solving a Distance, Rate, Time Problem Using a Rational Equation** **Problem Statement:** A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 miles against the wind. Find the speed of the wind. **Interactive Element:** - **Speed of the wind:** [ ] miles/hour **Instructions:** Enter the speed of the wind in the input box to find a solution to the problem. Use the relationship between distance, rate, and time to set up the necessary equations. Consider the effect of wind speed on the plane’s effective speed when flying with and against the wind.
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