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 and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.6: Modeling Harmonic Motion
Problem 61E
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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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