Two particles move at different but constant speeds around a circumference 276 feet long. Find their speeds if when they start from the same point and instant in the opposite direction they intersect every 6.0 s, and if they do so under the same conditions, but in the same direction, they intersect every 23.0 The speed of the fastest particle? The speed of the slow particle?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 69E
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QUESTION: Two particles move at different but constant speeds around a circumference 276 feet long. Find their speeds if when they start from the same point and instant in the opposite direction they intersect every 6.0 s, and if they do so under the same conditions, but in the same direction, they intersect every 23.0

The speed of the fastest particle? The speed of the slow particle?

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